3731 + Interview Questions in Physics Page 49 InterviewSolution

2401.	In the following circuit the potential difference between the points B and C is balanced against 40 cm length of potentiometer wire. In order to balance the potential difference between the points C and D, where should jockey be pressed
Answer» In the following circuit the potential difference between the points B and C is balanced against 40 cm length of potentiometer wire. In order to balance the potential difference between the points C and D, where should jockey be pressed

Discussion

2402.	Angle of inclination of the water surface from horizontal for the given accelerated container shown in the figure is [Assume g=10 m/s2]
Answer» Angle of inclination of the water surface from horizontal for the given accelerated container shown in the figure is [Assume $g = 10 {m/s}^{2}$ ]

Discussion

2403.	A body of mass M is dropped from a height h on a sand floor. If the body penetrates x m into the sand, the average resistance offered by the sand to the body is
Answer» A body of mass $M$ is dropped from a height $h$ on a sand floor. If the body penetrates $x m$ into the sand, the average resistance offered by the sand to the body is

Discussion

2404.	In the arrangement shown in figure, mA=mB=2 kg. String is massless and pulley is frictionless. Block B is resting on a smooth horizontal surface, while friction coefficient between block A and B is 0.5. The maximum horizontal force F that can be applied so that block A does not slip over the block B (g=10 m/s2) is
Answer» In the arrangement shown in figure, $m_{A} = m_{B} = 2 kg$ . String is massless and pulley is frictionless. Block $B$ is resting on a smooth horizontal surface, while friction coefficient between block $A$ and $B$ is $0.5$ . The maximum horizontal force $F$ that can be applied so that block $A$ does not slip over the block $B$ ( $g = 10 m / s^{2}$ ) is

Discussion

2405.	In a region, the potential is represented by V(x,y,z)=6x−8xy+6yz, where V is in volts and x, y and z are in metres. The electric force experienced by a charge of 2 Coulomb situated at point (1,1,1) is
Answer» In a region, the potential is represented by $V (x, y, z) = 6 x - 8 x y + 6 y z$ , where $V$ is in volts and $x$ , $y$ and $z$ are in metres. The electric force experienced by a charge of $2$ Coulomb situated at point $(1, 1, 1)$ is

Discussion

2406.	A bead can slide on a smooth circular wire frame of radius r which is fixed in the vertical plane. The bead is displaced slightly from the highest point of the wire frame. The speed of the bead subsequently as a function of the angle θ made by the bead with the vertical line is
Answer» A bead can slide on a smooth circular wire frame of radius $r$ which is fixed in the vertical plane. The bead is displaced slightly from the highest point of the wire frame. The speed of the bead subsequently as a function of the angle $θ$ made by the bead with the vertical line is

Discussion

2407.	Two particles A and B are projected simultaneously from the top of two towers of height 10 m and 20 m respectively. Particle A is projected upwards at an angle of 45∘ with horizontal at a speed of 10√2 m/s and particle B is projected horizontally at a speed of 10 m/s towards A. What is the distance between towers if particles collide in the air ?Take g=10 m/s2.
Answer» Two particles $A$ and $B$ are projected simultaneously from the top of two towers of height $10 m$ and $20 m$ respectively. Particle $A$ is projected upwards at an angle of $45^{\circ}$ with horizontal at a speed of $10 \sqrt{2} m/s$ and particle $B$ is projected horizontally at a speed of $10 m/s$ towards $A$ . What is the distance between towers if particles collide in the air ?Take $g = 10 {m/s}^{2}$ .

Discussion

2408.	What is the angle between the following pair vectors? →A=^i+^j+^k and →B=−2^i−2^j−2^k
Answer» What is the angle between the following pair vectors? $\to A =^i +^j +^k a n d \to B = - 2^i - 2^j - 2^k$

Discussion

2409.	If a boy running against a wind with speed 2 m/s reaches the finish line of a 100 m race in 15 seconds. How long will he take to complete the race in absence of wind.
Answer» If a boy running against a wind with speed $2 m / s$ reaches the finish line of a $100 m$ race in 15 seconds. How long will he take to complete the race in absence of wind.

Discussion

2410.	Two particles of medium disturbed by the wave propagation are at x1=0 and x2=1 cm. The respective displacements (in cm) of the particles can be given by the equations: y1=2sin3πt,y2=2 sin(3πt−π8). The wave velocity is
Answer» Two particles of medium disturbed by the wave propagation are at $x_{1} = 0 a n d x_{2} = 1 c m$ . The respective displacements (in cm) of the particles can be given by the equations: $y_{1} = 2 s i n 3 π t, y_{2} = 2 s i n (3 π t - \frac{π}{8})$ . The wave velocity is

Discussion

2411.	A cylinder weighing ‘W′ is resting on a V-groove as shown in figure. How many forces should be shown in the FBD?
Answer» A cylinder weighing $‘ W^{'}$ is resting on a V-groove as shown in figure. How many forces should be shown in the $F B D$ ?

Discussion

2412.	In the circuit shown here E1=E2=E3=2V and R1=R2=4Ω. The current flowing between point A and B through battery E2 is
Answer» In the circuit shown here $E_{1} = E_{2} = E_{3} = 2 V$ and $R_{1} = R_{2} = 4 Ω$ . The current flowing between point A and B through battery $E_{2}$ is

Discussion

2413.	Find the net force per unit length on z.
Answer» Find the net force per unit length on z.

Discussion

2414.	An aluminium rod having length 100 cm is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is 2600 kg/m3 and its Young's modulus is 7.8×1010 N/m2. The frequency of the sound produced is
Answer» An aluminium rod having length $100 cm$ is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is $2600 {kg/m}^{3}$ and its Young's modulus is $7.8 \times 10^{10} {N/m}^{2} .$ The frequency of the sound produced is

Discussion

2415.	The light of wavelength 6328 Å is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be[MP PMT 1987; Pb. PMT 2002]
Answer» The light of wavelength 6328 Å is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be [MP PMT 1987; Pb. PMT 2002]

2415.

The light of wavelength 6328 Å is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be[MP PMT 1987; Pb. PMT 2002]

Answer»

The light of wavelength 6328 Å is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be

[MP PMT 1987; Pb. PMT 2002]

Discussion

2416.	The planet Jupiter has an atmosphere composed mainly of methane at a temperature of −130∘CFind the velocity of sound on the planet. Assume γ of the gas inside Jupiter to be 1.3. (R=8.36 J mol−1 K−1)
Answer» The planet Jupiter has an atmosphere composed mainly of methane at a temperature of $- 130^{\circ} C$ Find the velocity of sound on the planet. Assume $γ$ of the gas inside Jupiter to be 1.3. $(R = 8.36 J m o l^{- 1} K^{- 1})$

Discussion

2417.	A cube is arranged such that its length, breadth and height are along X, Y and Z directions. One of its corners is situated at the origin. Length of each side of the cube is 25 cm. The components of electric field are Ex=400 √2N/C,Ey=0 and Ez=0 respectively. Find the flux coming out of the cube at one end.
Answer» A cube is arranged such that its length, breadth and height are along X, Y and Z directions. One of its corners is situated at the origin. Length of each side of the cube is 25 cm. The components of electric field are $E_{x} = 400 \sqrt{2} N / C, E_{y} = 0 a n d E_{z} = 0$ respectively. Find the flux coming out of the cube at one end.

Discussion

2418.	20 gm ice at −10 ∘C is mixed with m gm steam at 100 ∘C. The minimum value of m so that finally all ice and steam converts into water at 0 ∘C is (Use: specific heat and latent heat as Cice=0.5 cal/gm ∘C,Cwater=1 cal/gm ∘C,Lfusion =80 cal/gm and Lvapor =540 cal/gm )
Answer» $20 gm$ ice at $- 10^{\circ} C$ is mixed with $m gm$ steam at $100^{\circ} C$ . The minimum value of $m$ so that finally all ice and steam converts into water at $0^{\circ} C$ is $($ Use: specific heat and latent heat as $C_{i c e} = 0.5 cal/gm^{\circ} C, C_{water} = 1 cal/gm^{\circ} C, L_{f u s i o n}$ $= 80 cal/gm$ and $L_{v a p o r}$ $= 540 cal/gm$ $)$

Discussion

2419.	The average value of output direct current in a half wave rectifier is
Answer» The average value of output direct current in a half wave rectifier is

Discussion

2420.	A uniform disc of mass m and radius R is pivoted smoothly at its centre of mass. A light spring of stiffness k is attached with the disc tangentially as shown in the figure. If the disc is rotated through a small angle and released, the angular frequency of oscillation of the disc is (in rad/s) [(Take m=5 kg and k=10 N/m]
Answer» A uniform disc of mass $m$ and radius $R$ is pivoted smoothly at its centre of mass. A light spring of stiffness $k$ is attached with the disc tangentially as shown in the figure. If the disc is rotated through a small angle and released, the angular frequency of oscillation of the disc is (in $rad/s$ ) [(Take $m = 5 kg$ and $k = 10 N/m$ ]

Discussion

2421.	The focal length of a concave mirror is 30 cm. Find the distance of the object in front of the mirror, so that the image is three times the size of the object.
Answer» The focal length of a concave mirror is $30 c m$ . Find the distance of the object in front of the mirror, so that the image is three times the size of the object.

Discussion

2422.	A spring of force constant 800 N/m has an extension of 5cm. The work done in extending it from 5cm to 15 cm is
Answer» A spring of force constant 800 N/m has an extension of 5cm. The work done in extending it from 5cm to 15 cm is

2422.

A spring of force constant 800 N/m has an extension of 5cm. The work done in extending it from 5cm to 15 cm is

Answer»

A spring of force constant 800 N/m has an extension of 5cm. The work done in extending it from 5cm to 15 cm is

Discussion

2423.	One end A of a metallic rod length 10 cm is inserted in a furnace whose temperature is 827∘C. The curved surface of the rod is insulated. The room temperature is 27∘C. When the steady state is attained, the temperature of the other end B of the rod is 702∘C. Find the thermal conductivity of the metal ( in SI units)Stefan's constant =5.67×10−8W m−2K−4.
Answer» One end A of a metallic rod length $10 cm$ is inserted in a furnace whose temperature is $827^{\circ} C$ . The curved surface of the rod is insulated. The room temperature is $27^{\circ} C$ . When the steady state is attained, the temperature of the other end B of the rod is $702^{\circ} C$ . Find the thermal conductivity of the metal $(in SI units)$ Stefan's constant $= 5.67 \times 10^{- 8} {W m}^{- 2} K^{- 4}$ .

Discussion

2424.	When two ends of a rod wrapped with cotton are maintained at different temperatures and after some time every point of the rod attains a constant temperature, then
Answer» When two ends of a rod wrapped with cotton are maintained at different temperatures and after some time every point of the rod attains a constant temperature, then

2424.

When two ends of a rod wrapped with cotton are maintained at different temperatures and after some time every point of the rod attains a constant temperature, then

Answer»

When two ends of a rod wrapped with cotton are maintained at different temperatures and after some time every point of the rod attains a constant temperature, then

Discussion

2425.	From a solid sphere of mass M and radius R, a spherical portion of radius R2 is removed as shown in figure. Taking the gravitational potential V=0 at ∞, the potential at the centre of the cavity thus formed is(G= Gravitational constant)
Answer» From a solid sphere of mass $M$ and radius $R$ , a spherical portion of radius $\frac{R}{2}$ is removed as shown in figure. Taking the gravitational potential $V = 0$ at $\infty$ , the potential at the centre of the cavity thus formed is ( $G =$ Gravitational constant)

Discussion

2426.	A mass is attached to a spring and it executes simple harmonic motion. The mass is also attached to a sensor such that it makes a beeping sound whenever it is in its mean position. The mass is pulled to a length d from the mean position and the frequency f of the beep is noted Now the mass is pulled to a length d' (d' > d) and the frequency of beep was noted to be f'. After this the mass was pushed to d'' (d'' < d) and the frequency of beep was noted f''. Given d, d', d'' are all close to the mean position.
Answer» A mass is attached to a spring and it executes simple harmonic motion. The mass is also attached to a sensor such that it makes a beeping sound whenever it is in its mean position. The mass is pulled to a length d from the mean position and the frequency f of the beep is noted Now the mass is pulled to a length d' (d' $>$ d) and the frequency of beep was noted to be f'. After this the mass was pushed to d'' (d'' $<$ d) and the frequency of beep was noted f''. Given d, d', d'' are all close to the mean position.

Discussion

2427.	If tan α=mm+1 and tan β=12m+1, then a possible value of (α+β) is
Answer» If $t a n α = \frac{m}{m + 1}$ and $t a n β = \frac{1}{2 m + 1}$ , then a possible value of $(α + β)$ is

Discussion

2428.	A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by 4t3−2t , where t is in sec and velocity in m/s. What is the acceleration of the particle, when it is 2m from the origin
Answer» A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by $4 t^{3} - 2 t$ , where t is in sec and velocity in $m / s$ . What is the acceleration of the particle, when it is $2 m$ from the origin

Discussion

2429.	What vector must be added to the two vectors ^i−2^j+2^kand2^i+^j−^k, so that the resultant may be a unit vector along x-axis
Answer» What vector must be added to the two vectors $^i - 2^j + 2^k a n d 2^i +^j -^k,$ so that the resultant may be a unit vector along x-axis

Discussion

2430.	In the depletion region of an unbiased P-N junction diode there are
Answer» In the depletion region of an unbiased P-N junction diode there are

Discussion

2431.	A curve in a road forms an arc of radius 800 m If the road is 39.2 m wide, calculate the safe speed for turning, if the outer edge of the road is 0.5 m higher than the inner edge. Take g=9.8 m/s2.
Answer» A curve in a road forms an arc of radius $800 m$ If the road is $39.2 m$ wide, calculate the safe speed for turning, if the outer edge of the road is $0.5 m$ higher than the inner edge. Take $g = 9.8 {m/s}^{2}$ .

Discussion

2432.	A body weighs W1 in a liquid of density d1 and W2 in a liquid of density d2. What is the weight in a liquid of density d3?
Answer» A body weighs $W_{1}$ in a liquid of density $d_{1}$ and $W_{2}$ in a liquid of density $d_{2}$ . What is the weight in a liquid of density $d_{3}$ ?

Discussion

2433.	A gun mounted on a car moving at a speed of 25 m/s fires at an angle of 60∘ with the horizontal and a velocity of 200 m/s relative to the gun in the direction of motion of the car. Find the distance between the gun and the bullet when the bullet hits the ground.
Answer» A gun mounted on a car moving at a speed of $25 m/s$ fires at an angle of $60^{\circ}$ with the horizontal and a velocity of $200 m/s$ relative to the gun in the direction of motion of the car. Find the distance between the gun and the bullet when the bullet hits the ground.

Discussion

2434.	The diameter of the moon is 3.5×103km and its distance from the earth is 3.8×105km. If it is seen through a telescope whose focal length for objective and eye lens are 4 m and 10 cm respectively, then the angle subtended by the image of the moon on the eye will be approximately
Answer» The diameter of the moon is $3.5 \times 10^{3} k m$ and its distance from the earth is $3.8 \times 10^{5} k m$ . If it is seen through a telescope whose focal length for objective and eye lens are 4 m and 10 cm respectively, then the angle subtended by the image of the moon on the eye will be approximately

Discussion

2435.	A man can row a boat 4 km/hr in still water. He is crossing a river where the current is 2 km/hr. If the width of the river is 4 km , the time taken by him to reach a point directly opposite to him is
Answer» A man can row a boat $4 k m / h r$ in still water. He is crossing a river where the current is $2 k m / h r$ . If the width of the river is $4 k m$ , the time taken by him to reach a point directly opposite to him is

Discussion

2436.	The resultant of two forces 3P and 2P is R. If the first force is doubled then the resultant is also doubled. Find the angle between the two forces.
Answer» The resultant of two forces $3 P$ and $2 P$ is $R$ . If the first force is doubled then the resultant is also doubled. Find the angle between the two forces.

Discussion

2437.	Find the total kinetic energy (T) of the two particles in the reference frame fixed to their centre of inertia having masses m1 and m2 and velocities →v1 and →v2 (perpendicular to each other) respectively. Here μ=m1m2m1+m2
Answer» Find the total kinetic energy $(T)$ of the two particles in the reference frame fixed to their centre of inertia having masses $m_{1}$ and $m_{2}$ and velocities $_{1}$ and $_{2}$ (perpendicular to each other) respectively. Here $μ = \frac{m_{1} m_{2}}{m_{1} + m_{2}}$

Discussion

2438.	The ends of copper rod of length 1 m and area of cross section 1 cm2 are maintained at 0∘C and 100∘C. At the centre of the rod there is a source of heat of power 25 W. Thermal conductivity of copper is 400 W/m-K. In steady state, the temperature at the section of rod at which source is supplying heat, will be
Answer» The ends of copper rod of length $1 m$ and area of cross section $1 {cm}^{2}$ are maintained at $0^{\circ} C$ and $100^{\circ} C$ . At the centre of the rod there is a source of heat of power $25 W$ . Thermal conductivity of copper is $400 W/m-K$ . In steady state, the temperature at the section of rod at which source is supplying heat, will be

Discussion

2439.	Referring to a - x graph, find the velocity when the displacement of the particle is 100 m. assume initial velocity as zero.
Answer» Referring to a - x graph, find the velocity when the displacement of the particle is 100 m. assume initial velocity as zero.

2439.

Referring to a - x graph, find the velocity when the displacement of the particle is 100 m. assume initial velocity as zero.

Answer»

Referring to a - x graph, find the velocity when the displacement of the particle is 100 m. assume initial velocity as zero.

Discussion

2440.	A hollow vertical cylinder of radius R, with block M on its inner wall, is rotated with angular velocity ω about an axis through its centre. What is the minimum coefficient of static friction between block M and cylinder wall necessary to keep the block suspended on the inside of the cylinder?
Answer» A hollow vertical cylinder of radius $R$ , with block $M$ on its inner wall, is rotated with angular velocity $ω$ about an axis through its centre. What is the minimum coefficient of static friction between block $M$ and cylinder wall necessary to keep the block suspended on the inside of the cylinder?

Discussion

2441.	A cabin (in a horizontal plane) rotates on a smooth horizontal table with a uniform angular speed ω in a circular path of radius R. A smooth groove AB of length L(<<R is made inside the cabin as shown in the figure. If a particle is released from A to reach B along the path AB, then find the time taken by the particle to reach the point B.
Answer» A cabin (in a horizontal plane) rotates on a smooth horizontal table with a uniform angular speed $ω$ in a circular path of radius $R$ . A smooth groove $A B$ of length $L (<< R$ is made inside the cabin as shown in the figure. If a particle is released from $A$ to reach $B$ along the path $A B$ , then find the time taken by the particle to reach the point $B$ .

2441.

A cabin (in a horizontal plane) rotates on a smooth horizontal table with a uniform angular speed ω in a circular path of radius R. A smooth groove AB of length L(<<R is made inside the cabin as shown in the figure. If a particle is released from A to reach B along the path AB, then find the time taken by the particle to reach the point B.

Answer»

A cabin (in a horizontal plane) rotates on a smooth horizontal table with a uniform angular speed $ω$ in a circular path of radius $R$ . A smooth groove $A B$ of length $L (<< R$ is made inside the cabin as shown in the figure. If a particle is released from $A$ to reach $B$ along the path $A B$ , then find the time taken by the particle to reach the point $B$ .

Discussion

2442.	Find the gravitational force of interaction between the mass m and an infinite rod of varying mass density λ such that λ(x)=λ/x, where x is the distance from mass m. Given that mass m is placed at a distance d from the end of the rod on its axis as shown in figure.
Answer» Find the gravitational force of interaction between the mass $m$ and an infinite rod of varying mass density $λ$ such that $λ (x) = λ / x$ , where $x$ is the distance from mass $m$ . Given that mass $m$ is placed at a distance $d$ from the end of the rod on its axis as shown in figure.

Discussion

2443.	A projectile is fired at an angle of 45∘ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is
Answer» A projectile is fired at an angle of $45^{\circ}$ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is

Discussion

2444.	Two particles P and Q describe SHM of same amplitude A, same frequency f along the same straight line. The maximum distance between the two particles is A√2. The phase difference between the particle is
Answer» Two particles $P$ and $Q$ describe $SHM$ of same amplitude $A$ , same frequency $f$ along the same straight line. The maximum distance between the two particles is $A \sqrt{2}$ . The phase difference between the particle is

Discussion

2445.	A projectile motion is projected with a velocity μ at an angle θ, with the horizontal. For a fixed θ, which of the graphs shown in the following figure shows the variation of R versus μ
Answer» A projectile motion is projected with a velocity $μ$ at an angle $θ,$ with the horizontal. For a fixed $θ,$ which of the graphs shown in the following figure shows the variation of R versus $μ$

Discussion

2446.	The given figure shows the v−t graph of a particle moving in a straight line. At time t it returns to the starting point. Find t. (Assume SI units for the graph)
Answer» The given figure shows the $v - t$ graph of a particle moving in a straight line. At time $t$ it returns to the starting point. Find $t$ . (Assume SI units for the graph)

Discussion

2447.	The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed ω and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed ω2. The ring and disc are separated by frictionless ball bearings. The system is in the x - z place. The point P on the inner disc is at distance R from the origin O, where OP makes an angled of 30∘ with the horizontal. Then with respect to the horizontal surface,
Answer» The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed $ω$ and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed $\frac{ω}{2}$ . The ring and disc are separated by frictionless ball bearings. The system is in the x - z place. The point P on the inner disc is at distance R from the origin O, where OP makes an angled of 30 $^{\circ}$ with the horizontal. Then with respect to the horizontal surface,

2447.

The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed ω and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed ω2. The ring and disc are separated by frictionless ball bearings. The system is in the x - z place. The point P on the inner disc is at distance R from the origin O, where OP makes an angled of 30∘ with the horizontal. Then with respect to the horizontal surface,

Answer»

The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed $ω$ and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed $\frac{ω}{2}$ . The ring and disc are separated by frictionless ball bearings. The system is in the x - z place. The point P on the inner disc is at distance R from the origin O, where OP makes an angled of 30 $^{\circ}$ with the horizontal. Then with respect to the horizontal surface,

Discussion

2448.	Initially all the capacitors were uncharged. If switch is closed at t = 0, then heat loss in each resistance 2R till the time steady state is achieved, isप्रारम्भ में सभी संधारित्र अनावेशित हैं। यदि t = 0 पर स्विच को बंद किया जाता है, तब स्थायी अवस्था प्राप्त होने के समय तक प्रत्येक प्रतिरोध 2R में ऊष्मा हानि है
Answer» Initially all the capacitors were uncharged. If switch is closed at t = 0, then heat loss in each resistance 2R till the time steady state is achieved, is प्रारम्भ में सभी संधारित्र अनावेशित हैं। यदि t = 0 पर स्विच को बंद किया जाता है, तब स्थायी अवस्था प्राप्त होने के समय तक प्रत्येक प्रतिरोध 2R में ऊष्मा हानि है

Discussion

2449.	A block of mass 5 kg is resting on a rough horizontal surface. Now a force of 24 N is imparted to it with a negligible impulse as shown in the figure. If the coefficient of kinetic friction is 0.4 and g=10 m/s2, then the acceleration of the block will be
Answer» A block of mass $5 kg$ is resting on a rough horizontal surface. Now a force of $24 N$ is imparted to it with a negligible impulse as shown in the figure. If the coefficient of kinetic friction is 0.4 and $g = 10 {m/s}^{2}$ , then the acceleration of the block will be

Discussion

2450.	A mass attached to a spring executes SHMMatch the following conditions.(i) vx>0, ax>0 (I)x>0 (ii) vx<0, ax>0(iii) vx>0, ax<0 (II)x<0(iv) vx<0, ax<0
Answer» A mass attached to a spring executes SHM Match the following conditions. (i) $v_{x} > 0, a_{x} > 0 (I) x > 0$ (ii) $v_{x} < 0, a_{x} > 0$ (iii) $v_{x} > 0, a_{x} < 0 (I I) x < 0$ (iv) $v_{x} < 0, a_{x} < 0$

2450.

A mass attached to a spring executes SHMMatch the following conditions.(i) vx>0, ax>0 (I)x>0 (ii) vx<0, ax>0(iii) vx>0, ax<0 (II)x<0(iv) vx<0, ax<0

Answer»

A mass attached to a spring executes SHM

Match the following conditions.

(i) $v_{x} > 0, a_{x} > 0 (I) x > 0$

(ii) $v_{x} < 0, a_{x} > 0$

(iii) $v_{x} > 0, a_{x} < 0 (I I) x < 0$

(iv) $v_{x} < 0, a_{x} < 0$

Discussion

Explore topic-wise InterviewSolutions in .

In the following circuit the potential difference between the points B and C is balanced against 40 cm length of potentiometer wire. In order to balance the potential difference between the points C and D, where should jockey be pressed

Angle of inclination of the water surface from horizontal for the given accelerated container shown in the figure is [Assume g=10 m/s2]

A body of mass M is dropped from a height h on a sand floor. If the body penetrates x m into the sand, the average resistance offered by the sand to the body is

In a region, the potential is represented by V(x,y,z)=6x−8xy+6yz, where V is in volts and x, y and z are in metres. The electric force experienced by a charge of 2 Coulomb situated at point (1,1,1) is

A bead can slide on a smooth circular wire frame of radius r which is fixed in the vertical plane. The bead is displaced slightly from the highest point of the wire frame. The speed of the bead subsequently as a function of the angle θ made by the bead with the vertical line is

What is the angle between the following pair vectors? →A=^i+^j+^k and →B=−2^i−2^j−2^k

If a boy running against a wind with speed 2 m/s reaches the finish line of a 100 m race in 15 seconds. How long will he take to complete the race in absence of wind.

Two particles of medium disturbed by the wave propagation are at x1=0 and x2=1 cm. The respective displacements (in cm) of the particles can be given by the equations: y1=2sin3πt,y2=2 sin(3πt−π8). The wave velocity is

A cylinder weighing ‘W′ is resting on a V-groove as shown in figure. How many forces should be shown in the FBD?

In the circuit shown here E1=E2=E3=2V and R1=R2=4Ω. The current flowing between point A and B through battery E2 is

Find the net force per unit length on z.

An aluminium rod having length 100 cm is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is 2600 kg/m3 and its Young's modulus is 7.8×1010 N/m2. The frequency of the sound produced is

The light of wavelength 6328 Å is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be[MP PMT 1987; Pb. PMT 2002]

The planet Jupiter has an atmosphere composed mainly of methane at a temperature of −130∘CFind the velocity of sound on the planet. Assume γ of the gas inside Jupiter to be 1.3. (R=8.36 J mol−1 K−1)

20 gm ice at −10 ∘C is mixed with m gm steam at 100 ∘C. The minimum value of m so that finally all ice and steam converts into water at 0 ∘C is (Use: specific heat and latent heat as Cice=0.5 cal/gm ∘C,Cwater=1 cal/gm ∘C,Lfusion =80 cal/gm and Lvapor =540 cal/gm )

The average value of output direct current in a half wave rectifier is

The focal length of a concave mirror is 30 cm. Find the distance of the object in front of the mirror, so that the image is three times the size of the object.

A spring of force constant 800 N/m has an extension of 5cm. The work done in extending it from 5cm to 15 cm is

When two ends of a rod wrapped with cotton are maintained at different temperatures and after some time every point of the rod attains a constant temperature, then

From a solid sphere of mass M and radius R, a spherical portion of radius R2 is removed as shown in figure. Taking the gravitational potential V=0 at ∞, the potential at the centre of the cavity thus formed is(G= Gravitational constant)

If tan α=mm+1 and tan β=12m+1, then a possible value of (α+β) is

A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by 4t3−2t , where t is in sec and velocity in m/s. What is the acceleration of the particle, when it is 2m from the origin

What vector must be added to the two vectors ^i−2^j+2^kand2^i+^j−^k, so that the resultant may be a unit vector along x-axis

In the depletion region of an unbiased P-N junction diode there are

A curve in a road forms an arc of radius 800 m If the road is 39.2 m wide, calculate the safe speed for turning, if the outer edge of the road is 0.5 m higher than the inner edge. Take g=9.8 m/s2.

A body weighs W1 in a liquid of density d1 and W2 in a liquid of density d2. What is the weight in a liquid of density d3?

A gun mounted on a car moving at a speed of 25 m/s fires at an angle of 60∘ with the horizontal and a velocity of 200 m/s relative to the gun in the direction of motion of the car. Find the distance between the gun and the bullet when the bullet hits the ground.

The diameter of the moon is 3.5×103km and its distance from the earth is 3.8×105km. If it is seen through a telescope whose focal length for objective and eye lens are 4 m and 10 cm respectively, then the angle subtended by the image of the moon on the eye will be approximately

A man can row a boat 4 km/hr in still water. He is crossing a river where the current is 2 km/hr. If the width of the river is 4 km , the time taken by him to reach a point directly opposite to him is

The resultant of two forces 3P and 2P is R. If the first force is doubled then the resultant is also doubled. Find the angle between the two forces.

Find the total kinetic energy (T) of the two particles in the reference frame fixed to their centre of inertia having masses m1 and m2 and velocities →v1 and →v2 (perpendicular to each other) respectively. Here μ=m1m2m1+m2

Referring to a - x graph, find the velocity when the displacement of the particle is 100 m. assume initial velocity as zero.

A hollow vertical cylinder of radius R, with block M on its inner wall, is rotated with angular velocity ω about an axis through its centre. What is the minimum coefficient of static friction between block M and cylinder wall necessary to keep the block suspended on the inside of the cylinder?

Find the gravitational force of interaction between the mass m and an infinite rod of varying mass density λ such that λ(x)=λ/x, where x is the distance from mass m. Given that mass m is placed at a distance d from the end of the rod on its axis as shown in figure.

A projectile is fired at an angle of 45∘ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is

Two particles P and Q describe SHM of same amplitude A, same frequency f along the same straight line. The maximum distance between the two particles is A√2. The phase difference between the particle is

A projectile motion is projected with a velocity μ at an angle θ, with the horizontal. For a fixed θ, which of the graphs shown in the following figure shows the variation of R versus μ

The given figure shows the v−t graph of a particle moving in a straight line. At time t it returns to the starting point. Find t. (Assume SI units for the graph)

A block of mass 5 kg is resting on a rough horizontal surface. Now a force of 24 N is imparted to it with a negligible impulse as shown in the figure. If the coefficient of kinetic friction is 0.4 and g=10 m/s2, then the acceleration of the block will be

A mass attached to a spring executes SHMMatch the following conditions.(i) vx&gt;0, ax&gt;0 (I)x&gt;0 (ii) vx&lt;0, ax&gt;0(iii) vx&gt;0, ax&lt;0 (II)x&lt;0(iv) vx&lt;0, ax&lt;0

A mass attached to a spring executes SHMMatch the following conditions.(i) vx>0, ax>0 (I)x>0 (ii) vx<0, ax>0(iii) vx>0, ax<0 (II)x<0(iv) vx<0, ax<0