50278 + Interview Questions in Physics Page 211 InterviewSolution

10501.	{ For a certain metal, v is five times the }v_0 and the }} maximum velocity of coming out photo electrons is }{8×10^6 . If }v=2v_0 , the maximum velocity of photo }} electrons will be
Answer» { For a certain metal, v is five times the }v_0 and the }} maximum velocity of coming out photo electrons is }{8×10^6 . If }v=2v_0 , the maximum velocity of photo }} electrons will be

Discussion

10502.	134.A 100 ohm resistance and a capacitor of 100 ohm reaxtance are connected in series across a 220 V source . When the capacitor is 50 % charged < the peak value of the displacement current is
Answer» 134.A 100 ohm resistance and a capacitor of 100 ohm reaxtance are connected in series across a 220 V source . When the capacitor is 50 % charged < the peak value of the displacement current is

Discussion

10503.	34.The velocity of a particle us given as v= a(alpha)\sqrt{}x find its position at time t if at t=0 x=x^°
Answer» 34.The velocity of a particle us given as v= a(alpha)\sqrt{}x find its position at time t if at t=0 x=x^°

Discussion

10504.	(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR2/5, where M is the mass of the sphere and R is the radius of the sphere. (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
Answer» (a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR2/5, where M is the mass of the sphere and R is the radius of the sphere. (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

Discussion

10505.	The ratio of the energy required to raise a satellite upto a height h above the surface of earth to that the kinetic energy of the satellite into the orbit there is (R= radius of earth)
Answer» The ratio of the energy required to raise a satellite upto a height h above the surface of earth to that the kinetic energy of the satellite into the orbit there is (R= radius of earth)

Discussion

10506.	30.The escape velocity from the earth surface is V. The velocity of a satellite while orbiting just above the earth's surface is v.Then the relation between these velocities is
Answer» 30.The escape velocity from the earth surface is V. The velocity of a satellite while orbiting just above the earth's surface is v.Then the relation between these velocities is

Discussion

10507.	The bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in its radius is
Answer» The bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in its radius is

Discussion

10508.	Time varying Torque 8t N m is applied on an objectabout pivot. Angular momentum of body attime t 2 s is
Answer» Time varying Torque 8t N m is applied on an objectabout pivot. Angular momentum of body attime t 2 s is

Discussion

10509.	A mass m is suspended from a rigid support P by means of a massless string as shown in the figure. A horizontal force F is applied at point O of the rope. The system is in equilibrium when the string makes an angle θ with the vertical. Then the relation between tension T, force F and angle θ is
Answer» A mass m is suspended from a rigid support P by means of a massless string as shown in the figure. A horizontal force F is applied at point O of the rope. The system is in equilibrium when the string makes an angle $θ$ with the vertical. Then the relation between tension T, force F and angle $θ$ is

Discussion

10510.	monkey was climbing a rope whose accleration is 2m/s-2 and mass is 40 kg find the tension in the rope
Answer» monkey was climbing a rope whose accleration is 2m/s-2 and mass is 40 kg find the tension in the rope

Discussion

10511.	A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring
Answer» A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring

Discussion

10512.	There are two concentric conducting spherical shells of radius R and 2R respectively. Inner shell is given charge +Q and outer shell is neutral. If both shells are connected by conducting wire, then heat loss is?
Answer» There are two concentric conducting spherical shells of radius R and 2R respectively. Inner shell is given charge +Q and outer shell is neutral. If both shells are connected by conducting wire, then heat loss is?

Discussion

10513.	What is the peak voltage across capacitor at resonance frequency in the given circuit ?
Answer» What is the peak voltage across capacitor at resonance frequency in the given circuit ?

Discussion

10514.	A body starts moving under the action of a constant force along the straight line. The instantaneous power (P) developed by this force with time (t) is correctly represented by
Answer» A body starts moving under the action of a constant force along the straight line. The instantaneous power $(P)$ developed by this force with time $(t)$ is correctly represented by

Discussion

10515.	Question 5 (b)What is the lowest total resistance that can be secured by combinations of four coils of resistance 4Ω,8Ω,12Ω and 24Ω?
Answer» Question 5 (b) What is the lowest total resistance that can be secured by combinations of four coils of resistance $4 Ω, 8 Ω, 12 Ω$ and $24 Ω$ ?

Discussion

10516.	Two particles, each of mass m and charge q, are attached to the two ends of a light, rigid rod of length 2l. The rod is rotated about an axis passing through its centre and perpendicular to its length, with constant angular velocity ω. The ratio of magnitudes of magnetic moment of the system and its angular momentum about the centre of the rod is
Answer» Two particles, each of mass $m$ and charge $q$ , are attached to the two ends of a light, rigid rod of length $2 l$ . The rod is rotated about an axis passing through its centre and perpendicular to its length, with constant angular velocity $ω$ . The ratio of magnitudes of magnetic moment of the system and its angular momentum about the centre of the rod is

Discussion

10517.	A small ring of uniform density rolls up a curved path with an initial velocity 5 ms−1. Find the maximum height reached by the ring ?
Answer» A small ring of uniform density rolls up a curved path with an initial velocity $5 {ms}^{- 1}$ . Find the maximum height reached by the ring ?

Discussion

10518.	A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of
Answer» A man grows into a giant such that his linear dimensions increase by a factor of $9$ . Assuming that his density remains same, the stress in the leg will change by a factor of

Discussion

10519.	A parachutist jumps from an airplane moving with a velocity of u.parachutist opens and accelerates downwards with 2 m/s2. He reaches the ground with a velocity of 4 m/s. How long does the parachutist remain in the air?
Answer» A parachutist jumps from an airplane moving with a velocity of u.parachutist opens and accelerates downwards with 2 m/ $s^{2}$ . He reaches the ground with a velocity of 4 m/s. How long does the parachutist remain in the air?

Discussion

10520.	Figure shows a meter bridge wire AC with a uniform cross-section. The length of wire AC is 100 cm. X is a standard resistor of 4 Ω and Y is a coil. When Y is immersed in melting ice the null point is at 40 cm from point A. When the coil Y is heated to 100∘ C, a 12 Ω resistor has to be connected in parallel with Y in order to keep the bridge balanced at the same point. The temperature coefficient of resistance of the coil Y is x×10−2. The value of x is
Answer» Figure shows a meter bridge wire $A C$ with a uniform cross-section. The length of wire $A C$ is $100 cm$ . $X$ is a standard resistor of $4 Ω$ and $Y$ is a coil. When $Y$ is immersed in melting ice the null point is at $40 cm$ from point $A$ . When the coil $Y$ is heated to $100^{\circ} C$ , a $12 Ω$ resistor has to be connected in parallel with $Y$ in order to keep the bridge balanced at the same point. The temperature coefficient of resistance of the coil $Y$ is $x \times 10^{- 2}$ . The value of $x$ is

Discussion

10521.	Write the truth table for a NAND gate connected as given inFig. 14.45.
Answer» Write the truth table for a NAND gate connected as given inFig. 14.45.

Discussion

10522.	A thin uniform rod of mass M and length L has its moment of inertia Irod about its perpendicular bisector. This rod is bend in the form of a circular shape of radius r. Now, circle has its moment of inertia Icircle about its centre and perpendicular to its plane. Then, the ratio of Irod:Icircle is π2n where n is
Answer» A thin uniform rod of mass $M$ and length $L$ has its moment of inertia $I_{r o d}$ about its perpendicular bisector. This rod is bend in the form of a circular shape of radius $r$ . Now, circle has its moment of inertia $I_{circle}$ about its centre and perpendicular to its plane. Then, the ratio of $I_{r o d} : I_{circle}$ is $\frac{π^{2}}{n}$ where $n$ is

Discussion

10523.	In electrolytic cell flow of electron is from : a)cathod to anode in solution b)cathode to anode through external supply c)cathode to anode through internal supply d)anode to cathode to internal supply [Pls explain Concept and answer]
Answer» In electrolytic cell flow of electron is from : a)cathod to anode in solution b)cathode to anode through external supply c)cathode to anode through internal supply d)anode to cathode to internal supply [Pls explain Concept and answer]

10523.

In electrolytic cell flow of electron is from : a)cathod to anode in solution b)cathode to anode through external supply c)cathode to anode through internal supply d)anode to cathode to internal supply [Pls explain Concept and answer]

Answer»

In electrolytic cell flow of electron is from :
a)cathod to anode in solution
b)cathode to anode through external supply
c)cathode to anode through internal supply
d)anode to cathode to internal supply

[Pls explain Concept and answer]

Discussion

10524.	If a particle is projected with u = 30i cap + 40j cap.Find the displacement at 6
Answer» If a particle is projected with u = 30i cap + 40j cap.Find the displacement at 6

Discussion

10525.

Match the entries of column I with the entries of column II in the following table. Column I Column II(A) Magnetic field due to infinite long wire(P) B=μ0I2πd (B) Magnetic field due to current element(Q) B=μ0IN2R(C) Magnetic field at centre of current carrying coil(R) B=μ0INR22(x2+R2)3/2(D) Magnetic field at axis of coil(S) dB=μ04πIdlsinθr2Which of the following option has the correct combination, considering column I and column II?

Answer»

Match the entries of column I with the entries of column II in the following table.

Column I	Column II
$(A)$ Magnetic field due to infinite long wire	$(P)$ $B = \frac{μ_{0} I}{2 π d}$
$(B)$ Magnetic field due to current element	$(Q)$ $B = \frac{μ_{0} I N}{2 R}$
$(C)$ Magnetic field at centre of current carrying coil	$(R)$ $B = \frac{μ_{0} I N R^{2}}{2 (x^{2} + R^{2})^{3 / 2}}$
$(D)$ Magnetic field at axis of coil	$(S)$ $d B = \frac{μ_{0}}{4 π} \frac{I d l sin θ}{r^{2}}$

Which of the following option has the correct combination, considering column I and column II?

Discussion

10526.	A body of mass m is launched up a rough inclined plane of angle 45∘ with the horizontal. If the time of ascent is half the time of descent, the coefficient of friction is
Answer» A body of mass $m$ is launched up a rough inclined plane of angle $45^{\circ}$ with the horizontal. If the time of ascent is half the time of descent, the coefficient of friction is

Discussion

10527.	A ball is projected from a point on an inclined plane horizontally. It takes 1√2 seconds to strike the plane. If the incline plane makes an angle of 30∘ with horizontal, then find the range of the ball on incline plane in meters. [g = 10 m/s2] ___
Answer» A ball is projected from a point on an inclined plane horizontally. It takes $\frac{1}{\sqrt{2}}$ seconds to strike the plane. If the incline plane makes an angle of $30^{\circ}$ with horizontal, then find the range of the ball on incline plane in meters. [g = 10 $m / s^{2}$ ] ___

Discussion

10528.	A cylindrical conducting piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of a gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple harmonically. The period of oscillation will be (process is isothermal)
Answer» A cylindrical conducting piston of mass $M$ slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of a gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple harmonically. The period of oscillation will be (process is isothermal)

Discussion

10529.	Two particles of equal mass are revolving in circular path of radii 5 m and 10 m respectively, with the same speed. The ratio of the centripetal force acting on each particle is
Answer» Two particles of equal mass are revolving in circular path of radii $5 m$ and $10 m$ respectively, with the same speed. The ratio of the centripetal force acting on each particle is

Discussion

10530.	Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)
Answer» Two positive ions, each carrying a charge $q$ , are separated by a distance $d$ . If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ( $e$ being the charge on an electron)

Discussion

10531.	A particle having charge q enters a region of uniform magnetic field →B (directed perpendicularly inwards to the plane of paper), and is deflected a distance y after travelling a distance x in horizontal direction as shown in figure. Then the magnitude of momentum of the particle is :
Answer» A particle having charge $q$ enters a region of uniform magnetic field $\to B$ (directed perpendicularly inwards to the plane of paper), and is deflected a distance $y$ after travelling a distance $x$ in horizontal direction as shown in figure. Then the magnitude of momentum of the particle is :

Discussion

10532.	n identical cells, each of emf ε and internal resistance r, are joined in series to form a close circuit. One cell A is joined with reverse polarity. The potential difference across the terminal of A is
Answer» $n$ identical cells, each of emf $ε$ and internal resistance $r$ , are joined in series to form a close circuit. One cell $A$ is joined with reverse polarity. The potential difference across the terminal of $A$ is

Discussion

10533.	A man wearing a hat of extended length 12cm is running in rain falling vertically downwards with a speed 10 ms^{-1 }. Find he maximum speed with which man can run so that rain drops do not fall on his face(the length of his face below the extended part of the hat is 16 cm) .
Answer» A man wearing a hat of extended length 12cm is running in rain falling vertically downwards with a speed 10 ms^{-1 }. Find he maximum speed with which man can run so that rain drops do not fall on his face(the length of his face below the extended part of the hat is 16 cm) .

Discussion

10534.	For a diatomic gas change in internal energy for unit change in temperature at constant pressure and constant volume are U1 and U2 respectively. U1:U2 is
Answer» For a diatomic gas change in internal energy for unit change in temperature at constant pressure and constant volume are $U_{1}$ and $U_{2}$ respectively. $U_{1} : U_{2}$ is

10534.

For a diatomic gas change in internal energy for unit change in temperature at constant pressure and constant volume are U1 and U2 respectively. U1:U2 is

Answer»

For a diatomic gas change in internal energy for unit change in temperature at constant pressure and constant volume are $U_{1}$ and $U_{2}$ respectively. $U_{1} : U_{2}$ is

Discussion

10535.	An electron at rest has a charge of 1.6×10−19 C. It starts moving with a velocity v=c/2, where c is the speed of light, then the new charge on it is -
Answer» An electron at rest has a charge of $1.6 \times 10^{- 19} C$ . It starts moving with a velocity $v = c / 2$ , where $c$ is the speed of light, then the new charge on it is -

Discussion

10536.	The point S is monochromatic source of light emitting light of wavelength λ. At the point P at a distance x from the mirror as shown in the figure, interference takes place between two light rays one directly coming from source S and another after reflection from the mirror such that a maxima is formed. The value of x may be:
Answer» The point S is monochromatic source of light emitting light of wavelength $λ .$ At the point P at a distance x from the mirror as shown in the figure, interference takes place between two light rays one directly coming from source S and another after reflection from the mirror such that a maxima is formed. The value of x may be:

Discussion

10537.	Derivative of f(x)=cos(x2) is
Answer» Derivative of $f (x) = cos (x^{2})$ is

Discussion

10538.	A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g3 , the fraction of volume immersed in the liquid will be
Answer» A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of $\frac{g}{3}$ , the fraction of volume immersed in the liquid will be

Discussion

10539.	The gravitational potential at the surface of earth is -V_0 . The mass of the earth is M and its radius is R. The gravitational potential at the centre of earth must be
Answer» The gravitational potential at the surface of earth is -V_0 . The mass of the earth is M and its radius is R. The gravitational potential at the centre of earth must be

Discussion

10540.	A human body excretes (removes by waste discharge, sweating etc) certain materials by a law similar to radioactivity. If technetium is injected in some form in a human body, the body excretes half the amount in 24 hours. A patient is given an injection containing 99Tc. This isotope is radioactive with a half-life of 6 hours. The activity from the body just after the injection is 6 μ Ci. How much time will elapse before the activity falls to 3 μ Ci ?
Answer» A human body excretes (removes by waste discharge, sweating etc) certain materials by a law similar to radioactivity. If technetium is injected in some form in a human body, the body excretes half the amount in $24$ hours. A patient is given an injection containing $^{99} Tc$ . This isotope is radioactive with a half-life of $6$ hours. The activity from the body just after the injection is $6 μ Ci$ . How much time will elapse before the activity falls to $3 μ Ci$ ?

Discussion

10541.	If the papers of 4 students randomly distributed for checking among 7 teachers, then the probability that all the 4 papers are checked by exactly 2 teachers is nm where n,m are natural numbers and HCF(n,m)=1. Then the number of positive divisors of (n+m) is
Answer» If the papers of $4$ students randomly distributed for checking among $7$ teachers, then the probability that all the $4$ papers are checked by exactly $2$ teachers is $\frac{n}{m}$ where $n, m$ are natural numbers and $H C F (n, m) = 1$ . Then the number of positive divisors of $(n + m)$ is

Discussion

10542.	A gas expands under constant pressure P from volume V1 to V2. The work done by the gas is
Answer» A gas expands under constant pressure P from volume $V_{1}$ to $V_{2}$ . The work done by the gas is

Discussion

10543.	The position vector of an object at any time t given by 3t2I+6tj+k it's velocity along y axis has the magnitude
Answer» The position vector of an object at any time t given by 3t2I+6tj+k it's velocity along y axis has the magnitude

Discussion

10544.	A sound wave travels through a distance of 21 m between two points a and b where temp varies linearly from 400 to 484 k from a to b. If velocity of sound is given by v=k(T) ^1/2, where k=1 m/s k^(1/2) , then time taken by wave is
Answer» A sound wave travels through a distance of 21 m between two points a and b where temp varies linearly from 400 to 484 k from a to b. If velocity of sound is given by v=k(T) ^1/2, where k=1 m/s k^(1/2) , then time taken by wave is

Discussion

10545.	The width of a door is 40 cm. If it is released by exerting a force of 20 N perpendicularly at its edge (away from the hinges). Compute the magnitude of torque produced which causes the door to open.
Answer» The width of a door is $40 cm$ . If it is released by exerting a force of $20 N$ perpendicularly at its edge (away from the hinges). Compute the magnitude of torque produced which causes the door to open.

Discussion

10546.	surface charge density on a ring of radius a and wudth d is sigma it rotates with frequency f about its own axis assume tgat the charge is only on outer surface The magnetic field induction at centre i
Answer» surface charge density on a ring of radius a and wudth d is sigma it rotates with frequency f about its own axis assume tgat the charge is only on outer surface The magnetic field induction at centre i

Discussion

10547.	Question 8Four cars A, B, C and D are moving on a leveled road. Their distance versus time graphs are shown in given figure:Choose the correct statement(a) Car A is faster than car D.(b) Car B is the slowest.(c) Car D is faster than car C.(d) Car C is the slowest.
Answer» Question 8 Four cars A, B, C and D are moving on a leveled road. Their distance versus time graphs are shown in given figure: Choose the correct statement (a) Car A is faster than car D. (b) Car B is the slowest. (c) Car D is faster than car C. (d) Car C is the slowest.

Discussion

10548.	Find r if 5pr=6pr-1
Answer» Find r if 5pr=6pr-1

Discussion

10549.	Estimate the fraction of molecular volume to the actual volume occupied by oxygenm gas at STP. Take the diameter of an oxygen molecule to be 3 Å.
Answer» Estimate the fraction of molecular volume to the actual volume occupied by oxygenm gas at STP. Take the diameter of an oxygen molecule to be 3 Å.

Discussion

10550.	A force →F=−x^j acts on a particle. The particle starts from point (0,2) and moves to the point (1,4) following the path y=2x+2. The total work done by the force →F on the particle is
Answer» A force $\to F = - x^j$ acts on a particle. The particle starts from point $(0, 2)$ and moves to the point $(1, 4)$ following the path $y = 2 x + 2$ . The total work done by the force $\to F$ on the particle is

Discussion

Explore topic-wise InterviewSolutions in .

{ For a certain metal, v is five times the }v_0 and the }} maximum velocity of coming out photo electrons is }{8×10^6 . If }v=2v_0 , the maximum velocity of photo }} electrons will be

134.A 100 ohm resistance and a capacitor of 100 ohm reaxtance are connected in series across a 220 V source . When the capacitor is 50 % charged < the peak value of the displacement current is

34.The velocity of a particle us given as v= a(alpha)\sqrt{}x find its position at time t if at t=0 x=x^°

The ratio of the energy required to raise a satellite upto a height h above the surface of earth to that the kinetic energy of the satellite into the orbit there is (R= radius of earth)

30.The escape velocity from the earth surface is V. The velocity of a satellite while orbiting just above the earth's surface is v.Then the relation between these velocities is

The bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in its radius is

Time varying Torque 8t N m is applied on an objectabout pivot. Angular momentum of body attime t 2 s is

A mass m is suspended from a rigid support P by means of a massless string as shown in the figure. A horizontal force F is applied at point O of the rope. The system is in equilibrium when the string makes an angle θ with the vertical. Then the relation between tension T, force F and angle θ is

monkey was climbing a rope whose accleration is 2m/s-2 and mass is 40 kg find the tension in the rope

A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring

There are two concentric conducting spherical shells of radius R and 2R respectively. Inner shell is given charge +Q and outer shell is neutral. If both shells are connected by conducting wire, then heat loss is?

What is the peak voltage across capacitor at resonance frequency in the given circuit ?

A body starts moving under the action of a constant force along the straight line. The instantaneous power (P) developed by this force with time (t) is correctly represented by

Question 5 (b)What is the lowest total resistance that can be secured by combinations of four coils of resistance 4Ω,8Ω,12Ω and 24Ω?

A small ring of uniform density rolls up a curved path with an initial velocity 5 ms−1. Find the maximum height reached by the ring ?

A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of

A parachutist jumps from an airplane moving with a velocity of u.parachutist opens and accelerates downwards with 2 m/s2. He reaches the ground with a velocity of 4 m/s. How long does the parachutist remain in the air?

Write the truth table for a NAND gate connected as given inFig. 14.45.

In electrolytic cell flow of electron is from : a)cathod to anode in solution b)cathode to anode through external supply c)cathode to anode through internal supply d)anode to cathode to internal supply [Pls explain Concept and answer]

If a particle is projected with u = 30i cap + 40j cap.Find the displacement at 6

A body of mass m is launched up a rough inclined plane of angle 45∘ with the horizontal. If the time of ascent is half the time of descent, the coefficient of friction is

A ball is projected from a point on an inclined plane horizontally. It takes 1√2 seconds to strike the plane. If the incline plane makes an angle of 30∘ with horizontal, then find the range of the ball on incline plane in meters. [g = 10 m/s2] ___

Two particles of equal mass are revolving in circular path of radii 5 m and 10 m respectively, with the same speed. The ratio of the centripetal force acting on each particle is

Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)

A particle having charge q enters a region of uniform magnetic field →B (directed perpendicularly inwards to the plane of paper), and is deflected a distance y after travelling a distance x in horizontal direction as shown in figure. Then the magnitude of momentum of the particle is :

n identical cells, each of emf ε and internal resistance r, are joined in series to form a close circuit. One cell A is joined with reverse polarity. The potential difference across the terminal of A is

A man wearing a hat of extended length 12cm is running in rain falling vertically downwards with a speed 10 ms^{-1 }. Find he maximum speed with which man can run so that rain drops do not fall on his face(the length of his face below the extended part of the hat is 16 cm) .

For a diatomic gas change in internal energy for unit change in temperature at constant pressure and constant volume are U1 and U2 respectively. U1:U2 is

An electron at rest has a charge of 1.6×10−19 C. It starts moving with a velocity v=c/2, where c is the speed of light, then the new charge on it is -

Derivative of f(x)=cos(x2) is

A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g3 , the fraction of volume immersed in the liquid will be

The gravitational potential at the surface of earth is -V_0 . The mass of the earth is M and its radius is R. The gravitational potential at the centre of earth must be

If the papers of 4 students randomly distributed for checking among 7 teachers, then the probability that all the 4 papers are checked by exactly 2 teachers is nm where n,m are natural numbers and HCF(n,m)=1. Then the number of positive divisors of (n+m) is

A gas expands under constant pressure P from volume V1 to V2. The work done by the gas is

The position vector of an object at any time t given by 3t2I+6tj+k it's velocity along y axis has the magnitude

A sound wave travels through a distance of 21 m between two points a and b where temp varies linearly from 400 to 484 k from a to b. If velocity of sound is given by v=k(T) ^1/2, where k=1 m/s k^(1/2) , then time taken by wave is

The width of a door is 40 cm. If it is released by exerting a force of 20 N perpendicularly at its edge (away from the hinges). Compute the magnitude of torque produced which causes the door to open.

surface charge density on a ring of radius a and wudth d is sigma it rotates with frequency f about its own axis assume tgat the charge is only on outer surface The magnetic field induction at centre i

Question 8Four cars A, B, C and D are moving on a leveled road. Their distance versus time graphs are shown in given figure:Choose the correct statement(a) Car A is faster than car D.(b) Car B is the slowest.(c) Car D is faster than car C.(d) Car C is the slowest.

Find r if 5pr=6pr-1

Estimate the fraction of molecular volume to the actual volume occupied by oxygenm gas at STP. Take the diameter of an oxygen molecule to be 3 Å.

A force →F=−x^j acts on a particle. The particle starts from point (0,2) and moves to the point (1,4) following the path y=2x+2. The total work done by the force →F on the particle is