2673 + Interview Questions in Physics Page 36 InterviewSolution

1751.	At what temperature would the root mean square speed of a gas molecule have twice its value at 100∘C?
Answer» At what temperature would the root mean square speed of a gas molecule have twice its value at $100^{\circ}$ C?

Discussion

1752.	A point source emits sound waves of constant power with intensity inversely proportional to the square of the distance from the source. By how many decibels does the sound loudness drop, when you move from point A to B ? Distance of B from the source is two times the distance of A from the source. [Take log102=0.3 ]
Answer» A point source emits sound waves of constant power with intensity inversely proportional to the square of the distance from the source. By how many decibels does the sound loudness drop, when you move from point $A$ to $B$ ? Distance of $B$ from the source is two times the distance of $A$ from the source. [Take ${log}_{10} 2 = 0.3$ ]

Discussion

1753.	Two stones are thrown up simultaneously with initial speeds of u1 and u2 (u2>u1). They hit the ground after 6 s and 10 s respectively. Which graph in figure correctly represents the time variation of Δx=(x2−x1), the relative position of the second stone with respect to the first upto t=10 s?Assume that the stones do not rebound after hitting the ground.
Answer» Two stones are thrown up simultaneously with initial speeds of $u_{1}$ and $u_{2} (u_{2} > u_{1})$ . They hit the ground after $6 s$ and $10 s$ respectively. Which graph in figure correctly represents the time variation of $Δ x = (x_{2} - x_{1})$ , the relative position of the second stone with respect to the first upto $t = 10 s$ ? Assume that the stones do not rebound after hitting the ground.

Discussion

1754.	tanθsinθ+cosθ is equal toGiven, sin2θ+cos2θ=1
Answer» $tan θ sin θ + cos θ$ is equal to Given, ${sin}^{2} θ + {cos}^{2} θ = 1$

Discussion

1755.	A highly rigid cubical block A of small mass M and side L is fixed rigidly onto another cubical block B of the same dimensions and of modulus of rigidity η such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the side faces of A. After the force is withdrawn block A executes small oscillations. The time period of which is given by
Answer» A highly rigid cubical block $A$ of small mass $M$ and side $L$ is fixed rigidly onto another cubical block $B$ of the same dimensions and of modulus of rigidity $η$ such that the lower face of $A$ completely covers the upper face of $B$ . The lower face of $B$ is rigidly held on a horizontal surface. A small force $F$ is applied perpendicular to one of the side faces of $A$ . After the force is withdrawn block $A$ executes small oscillations. The time period of which is given by

Discussion

1756.	A charge ‘Q’ is uniformly distributed on the surface of a spherical conductor. In order to calculate the Electric field because of it, one has to take infinitesimal elements of charges and integrate. This is because
Answer» A charge ‘Q’ is uniformly distributed on the surface of a spherical conductor. In order to calculate the Electric field because of it, one has to take infinitesimal elements of charges and integrate. This is because

Discussion

1757.	One fermi is equal to
Answer» One fermi is equal to

Discussion

1758.	In which frequency range, space waves are normally propagated
Answer» In which frequency range, space waves are normally propagated

Discussion

1759.	The equation of a wave travelling on a string stretched along the X-axis is given by y=A e−(xa+tT)2Where is the maximum of the pulse located at t = T?
Answer» The equation of a wave travelling on a string stretched along the X-axis is given by $y = A e^{- {(\frac{x}{a} + \frac{t}{T})}^{2}}$ Where is the maximum of the pulse located at t = T?

1759.

The equation of a wave travelling on a string stretched along the X-axis is given by y=A e−(xa+tT)2Where is the maximum of the pulse located at t = T?

Answer»

The equation of a wave travelling on a string stretched along the X-axis is given by $y = A e^{- {(\frac{x}{a} + \frac{t}{T})}^{2}}$

Where is the maximum of the pulse located at t = T?

Discussion

1760.	A particle starts its motion from point A in the positive x direction in such a way that after every t sec it is at a distance of t2 from the starting point. Find its instantaneous velocity at t=4th sec also the rate at which velocity changes.
Answer» A particle starts its motion from point A in the positive x direction in such a way that after every t sec it is at a distance of $t^{2}$ from the starting point. Find its instantaneous velocity at $t = 4^{t h}$ sec also the rate at which velocity changes.

Discussion

1761.	Half of the rectangular plate shown in figure is made of a material of density p1 and the other half of density p2. The length of the plate is L. Locate the centre of mass of the plate.
Answer» Half of the rectangular plate shown in figure is made of a material of density $p_{1}$ and the other half of density $p_{2}$ . The length of the plate is $L$ . Locate the centre of mass of the plate.

Discussion

1762.	If a copper rod carries a direct current, the magnetic field associated with the current will be
Answer» If a copper rod carries a direct current, the magnetic field associated with the current will be

Discussion

1763.	A glass marble whose mass is 200 gm, falls from a height of 2.5 m and rebounds to a height of 1.6 m. Find the change in momentum due to its fall.
Answer» A glass marble whose mass is $200 g m$ , falls from a height of $2.5 m$ and rebounds to a height of $1.6 m$ . Find the change in momentum due to its fall.

Discussion

1764.	The velocity-time graph of a particle moving in a straight line is as shown in figure, initial velocity of particle is zero. Find the total displacement of the particle during its journey.
Answer» The velocity-time graph of a particle moving in a straight line is as shown in figure, initial velocity of particle is zero. Find the total displacement of the particle during its journey.

Discussion

1765.	A circular arc has a radius of 0.1m. The angle it subtends at the Centreis π6 . If the charge it carries is 10C. what is the linear charge density of the wire?
Answer» A circular arc has a radius of 0.1m. The angle it subtends at the Centreis $\frac{π}{6}$ . If the charge it carries is 10C. what is the linear charge density of the wire?

Discussion

1766.	A projectile has initially the same horizontal velocity as it would acquire if it had moved from rest with uniform acceleration of 3 m/s2 for 0.5 min. If the maximum height reached by it is 80 m, then the angle of projection is (g=10 m/s2)
Answer» A projectile has initially the same horizontal velocity as it would acquire if it had moved from rest with uniform acceleration of $3 {m/s}^{2}$ for $0.5$ min. If the maximum height reached by it is $80 m$ , then the angle of projection is ( $g = 10 {m/s}^{2}$ )

Discussion

1767.	Block A of mass m placed on a smooth inclined plane is connected by a string to another block B of mass M as shown in the figure. If the system is in equilibrium , express M in terms of m
Answer» Block $A$ of mass $m$ placed on a smooth inclined plane is connected by a string to another block $B$ of mass $M$ as shown in the figure. If the system is in equilibrium , express $M$ in terms of $m$

Discussion

1768.	A particle is simultaneously acted by two forces equal to 4 N and 3 N. The net force on the particle is
Answer» A particle is simultaneously acted by two forces equal to 4 N and 3 N. The net force on the particle is

Discussion

1769.	The graph shows the extension (Δl) of a wire of length 1 m, suspended from the top of a roof at one end, with a load W connected to the other end. If the cross-sectional area of the wire is 10−6 m2, Young's modulus of the material of the wire is
Answer» The graph shows the extension $(Δ l)$ of a wire of length $1 m$ , suspended from the top of a roof at one end, with a load $W$ connected to the other end. If the cross-sectional area of the wire is $10^{- 6} m^{2}$ , Young's modulus of the material of the wire is

Discussion

1770.	Which one of the following graphs represents the behaviour of an ideal gas?
Answer» Which one of the following graphs represents the behaviour of an ideal gas?

Discussion

1771.	A block begins to slide down a rough inclined plane of angle 45∘ and moves 1 m in 4√2 s. What is the coefficient of friction μ, between the plane and the block?(Take g=10 m/s2)
Answer» A block begins to slide down a rough inclined plane of angle $45^{\circ}$ and moves $1 m$ in $\sqrt[4]{2} s$ . What is the coefficient of friction $μ$ , between the plane and the block? (Take $g = 10 m / s^{2})$

Discussion

1772.	Following figure shows an adiabatic cylindrical container of volume Vo divided by an adiabatic smooth piston (area of cross section = A) in two equal parts. An ideal gas (CPCV=γ) is at pressure P1 and temperature T1 in left part and gas at pressure P2 and temperature T2 in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts can be (Suppose x is displacement of the piston)
Answer» Following figure shows an adiabatic cylindrical container of volume $V_{o}$ divided by an adiabatic smooth piston (area of cross section = $A$ ) in two equal parts. An ideal gas $(\frac{C_{P}}{C_{V}} = γ)$ is at pressure $P_{1}$ and temperature $T_{1}$ in left part and gas at pressure $P_{2}$ and temperature $T_{2}$ in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts can be (Suppose $x$ is displacement of the piston)

Discussion

1773.	In HCl molecule, the separation between the nuclei of hydrogen and chlorine atoms is 1.27 ∘A. If the mass of a chlorine atom is 35.5 times that of a hydrogen atom, the centre of mass of the HCl molecule is at a distance of
Answer» In HCl molecule, the separation between the nuclei of hydrogen and chlorine atoms is $1.27 \circ A$ . If the mass of a chlorine atom is 35.5 times that of a hydrogen atom, the centre of mass of the HCl molecule is at a distance of

Discussion

1774.	12 mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas = 3 J gm−1 K−1) is
Answer» $\frac{1}{2}$ mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas = $3 J g m^{- 1} K^{- 1}$ ) is

1774.

12 mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas = 3 J gm−1 K−1) is

Answer»

$\frac{1}{2}$ mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas = $3 J g m^{- 1} K^{- 1}$ ) is

Discussion

1775.	Two fixed charges +1μC each are 4 cm apart. A third charge of −1μC and mass 1g is placed at their centre and given a small displacement along their perpendicular bisector. Find the time period of oscillation of the ensuing SHM in milli second.
Answer» Two fixed charges $+ 1 μ C$ each are 4 cm apart. A third charge of $- 1 μ C$ and mass 1g is placed at their centre and given a small displacement along their perpendicular bisector. Find the time period of oscillation of the ensuing SHM in milli second.

Discussion

1776.	A block is moving on an inclined plane making an angle 45∘ with the horizontal and the coefficient of friction is μ. The force required to just push it up the inclined plane is 3 times the force required to just prevent it from sliding down. If we define n=10μ, then n is
Answer» A block is moving on an inclined plane making an angle $45^{\circ}$ with the horizontal and the coefficient of friction is $μ$ . The force required to just push it up the inclined plane is $3$ times the force required to just prevent it from sliding down. If we define $n = 10 μ$ , then $n$ is

Discussion

1777.	A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the medium of the tube.
Answer» A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the medium of the tube.

Discussion

1778.	P−T diagram of one mole of an ideal monatomic gas is shown. Process AB and CD are adiabatic. Work done in the complete cycle is
Answer» $P - T$ diagram of one $mole$ of an ideal monatomic gas is shown. Process $A B$ and $C D$ are adiabatic. Work done in the complete cycle is

Discussion

1779.	A uniform sphere of mass M and radius R exerts a force F on a small mass m situated at a distance of 2R from the centre O of the sphere. A spherical portion of diameter R is cut from the sphere as shown in the figure. The force of attraction between the remaining part of the sphere and the mass m will be
Answer» A uniform sphere of mass M and radius R exerts a force F on a small mass m situated at a distance of 2R from the centre O of the sphere. A spherical portion of diameter R is cut from the sphere as shown in the figure. The force of attraction between the remaining part of the sphere and the mass m will be

Discussion

1780.	The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is
Answer» The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is

Discussion

1781.	An arrangement of masses and pulleys is shown in the figure. Strings connecting masses A and B with the pulleys are horizontal and all pulleys and strings are light. Friction coefficient between the surface and the block B is 0.2 and between blocks A and B is 0.7. The system is released from rest. Use (g=10 m/s2). Find the magnitude of frictional force (in N) between block A and B.
Answer» An arrangement of masses and pulleys is shown in the figure. Strings connecting masses $A$ and $B$ with the pulleys are horizontal and all pulleys and strings are light. Friction coefficient between the surface and the block $B$ is $0.2$ and between blocks $A$ and $B$ is $0.7$ . The system is released from rest. Use $(g = 10 {m/s}^{2})$ . Find the magnitude of frictional force (in $N$ ) between block $A$ and $B$ .

Discussion

1782.	One of the following wavelengths is absent and the rest are present in the X-rays coming from a Coolidge tube. Which one is the absent wavelength?
Answer» One of the following wavelengths is absent and the rest are present in the X-rays coming from a Coolidge tube. Which one is the absent wavelength?

Discussion

1783.	A lamina is made by removing a small disc of diameter 2R from a bigger disc of uniform mass density of radius 2R as shown in the figure. The moments of inertia of this lamina about an axis passing through O and P are I0 and IP respectively. Both these axes are perpendicular to the plane of the lamina. The ratio IPIO is
Answer» A lamina is made by removing a small disc of diameter $2 R$ from a bigger disc of uniform mass density of radius $2 R$ as shown in the figure. The moments of inertia of this lamina about an axis passing through $O$ and $P$ are $I_{0}$ and $I_{P}$ respectively. Both these axes are perpendicular to the plane of the lamina. The ratio $\frac{I_{P}}{I_{O}}$ is

Discussion

1784.	Two rods, one of aluminium and the other made of steel, having initial length l1 and l2 are connected together to form a single rod of length l1+l2. The coefficients of linear expansion for aluminium and steel are αa and αa and respectively. If the length of each rod increases by the same amount when their temperature are raised by toC, then find the ratio of length of aluminium rod to the whold rod.(IIT JEE 2003)
Answer» Two rods, one of aluminium and the other made of steel, having initial length $l_{1}$ and $l_{2}$ are connected together to form a single rod of length $l_{1} + l_{2} .$ The coefficients of linear expansion for aluminium and steel are $α_{a}$ and $α_{a}$ and respectively. If the length of each rod increases by the same amount when their temperature are raised by $t^{o} C$ , then find the ratio of length of aluminium rod to the whold rod. (IIT JEE 2003)

Discussion

1785.	There is some change in length when a 33000 N tensile force is applied on a steel rod of area of cross section 10−3 m2. The change of temperature required to produce the same elongation, if steel rod is heated, is: (The modulus of elasticity is 3×1011 N/m2 and the coefficient of linear expansion of steel is 1.1×10−5∘C−1)
Answer» There is some change in length when a $33000 N$ tensile force is applied on a steel rod of area of cross section $10^{- 3} m^{2}$ . The change of temperature required to produce the same elongation, if steel rod is heated, is: (The modulus of elasticity is $3 \times 10^{11} {N/m}^{2}$ and the coefficient of linear expansion of steel is $1.1 \times {10^{- 5}}^{\circ} C^{- 1}$ )

Discussion

1786.	A particle is projected at an angle α with the horizontal from the foot of a plane, whose inclination to the horizontal is β. Find the velocity with which the particle strikes perpendicular to the inclined plane.
Answer» A particle is projected at an angle $α$ with the horizontal from the foot of a plane, whose inclination to the horizontal is $β$ . Find the velocity with which the particle strikes perpendicular to the inclined plane.

Discussion

1787.	A couple consisting of two forces F1 and F2 each equal to 5 N is acting at the rim of a disc of mass 2 kg and radius 0.5 m for 5 s. Initially, the disc is at rest, the final angular momentum of the disc is
Answer» A couple consisting of two forces $F_{1}$ and $F_{2}$ each equal to $5 N$ is acting at the rim of a disc of mass $2 kg$ and radius $0.5 m$ for $5 s$ . Initially, the disc is at rest, the final angular momentum of the disc is

Discussion

1788.	Consider the situation shown in figure. What are the signs of q1 and q2?
Answer» Consider the situation shown in figure. What are the signs of $q_{1} a n d q_{2}$ ?

1788.

Consider the situation shown in figure. What are the signs of q1 and q2?

Answer»

Consider the situation shown in figure. What are the signs of $q_{1} a n d q_{2}$ ?

Discussion

1789.	If the Zero error of a Vernier Caliper is zero, then
Answer» If the Zero error of a Vernier Caliper is zero, then

Discussion

1790.	A trolley containing water has total mass of 4000 kg and is moving at a speed of 40 m/s. Now water starts coming out of a hole from the bottom of the trolley at the rate of 8 kg/s. Speed of trolley after 50 s is
Answer» A trolley containing water has total mass of $4000 kg$ and is moving at a speed of $40 m/s$ . Now water starts coming out of a hole from the bottom of the trolley at the rate of $8 kg/s$ . Speed of trolley after $50 s$ is

Discussion

1791.	Four particles of masses m1,m2,m3 and m4 are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:
Answer» Four particles of masses $m_{1}, m_{2}, m_{3}$ and $m_{4}$ are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:

Discussion

1792.	Water flows at a speed of 16 cm/s through a tube of radius 10 cm. Co-efficient of viscosity of water at room temperature is 0.01 Pa-s. Then, find the Reynolds number.
Answer» Water flows at a speed of $16 cm/s$ through a tube of radius $10 cm$ . Co-efficient of viscosity of water at room temperature is $0.01 Pa-s$ . Then, find the Reynolds number.

Discussion

1793.	Consider a photon of continuous X-ray coming from a Coolidge tube. Its energy comes from
Answer» Consider a photon of continuous X-ray coming from a Coolidge tube. Its energy comes from

Discussion

1794.	A car moves for half of the total time of travel at 80 km/h and for rest half of the time at 40 km/h.If the total distance covered is 60 km, what is the average speed of the car?
Answer» A car moves for half of the total time of travel at 80 km/h and for rest half of the time at 40 km/h. If the total distance covered is 60 km, what is the average speed of the car?

1794.

A car moves for half of the total time of travel at 80 km/h and for rest half of the time at 40 km/h.If the total distance covered is 60 km, what is the average speed of the car?

Answer»

A car moves for half of the total time of travel at 80 km/h and for rest half of the time at 40 km/h.

If the total distance covered is 60 km, what is the average speed of the car?

Discussion

1795.	Match the following Currentsr.m.s values(1) x0 sin ω t(i) x0(2) x0 sin ω t cos ω t(ii) x0√2(3) x0 sin ω t+x0 cos ω t(iii) x0(2√2)
Answer» Match the following $\begin{matrix} C u r r e n t s & r . m . s v a l u e s (1) x_{0} s i n ω t & (i) x_{0} (2) x_{0} s i n ω t c o s ω t & (i i) \frac{x_{0}}{\sqrt{2}} (3) x_{0} s i n ω t + x_{0} c o s ω t & (i i i) \frac{x_{0}}{(2 \sqrt{2})} \end{matrix}$

Discussion

1796.	Dimensions of 1μ0 ϵ0,where symbols have their usual meaning,are
Answer» Dimensions of $\frac{1}{μ_{0} ϵ_{0}}$ ,where symbols have their usual meaning,are

Discussion

1797.	A force →F=α^i+3^j+6^k is acting at a point →r=2^i−6^j−12^k. Find the value of α for which angular momentum about origin is conserved.
Answer» A force $\to F = α^i + 3^j + 6^k$ is acting at a point $\to r = 2^i - 6^j - 12^k$ . Find the value of $α$ for which angular momentum about origin is conserved.

Discussion

1798.	A tuning fork vibrates at 260 Hz. Find the length of the shortest closed organ pipe that will resonate with the tuning fork. Given, speed of sound in air is 340 m/s.
Answer» A tuning fork vibrates at $260 Hz$ . Find the length of the shortest closed organ pipe that will resonate with the tuning fork. Given, speed of sound in air is $340 m/s$ .

Discussion

1799.	Two person A and B start running from same initial point and in same direction along a circular path with speed of 5 km/hr and 2 km/hr respectively. If the length of circular path is 24 km, after what time they will meet again?
Answer» Two person $A$ and $B$ start running from same initial point and in same direction along a circular path with speed of $5 km/hr$ and $2 km/hr$ respectively. If the length of circular path is $24 km$ , after what time they will meet again?

Discussion

1800.	The equation of a projectile is y=ax−bx2. Its horizontal range is
Answer» The equation of a projectile is $y = a x - b x^{2}$ . Its horizontal range is

Discussion

Explore topic-wise InterviewSolutions in .

At what temperature would the root mean square speed of a gas molecule have twice its value at 100∘C?

tanθsinθ+cosθ is equal toGiven, sin2θ+cos2θ=1

A charge ‘Q’ is uniformly distributed on the surface of a spherical conductor. In order to calculate the Electric field because of it, one has to take infinitesimal elements of charges and integrate. This is because

One fermi is equal to

In which frequency range, space waves are normally propagated

The equation of a wave travelling on a string stretched along the X-axis is given by y=A e−(xa+tT)2Where is the maximum of the pulse located at t = T?

A particle starts its motion from point A in the positive x direction in such a way that after every t sec it is at a distance of t2 from the starting point. Find its instantaneous velocity at t=4th sec also the rate at which velocity changes.

Half of the rectangular plate shown in figure is made of a material of density p1 and the other half of density p2. The length of the plate is L. Locate the centre of mass of the plate.

If a copper rod carries a direct current, the magnetic field associated with the current will be

A glass marble whose mass is 200 gm, falls from a height of 2.5 m and rebounds to a height of 1.6 m. Find the change in momentum due to its fall.

The velocity-time graph of a particle moving in a straight line is as shown in figure, initial velocity of particle is zero. Find the total displacement of the particle during its journey.

A circular arc has a radius of 0.1m. The angle it subtends at the Centreis π6 . If the charge it carries is 10C. what is the linear charge density of the wire?

A projectile has initially the same horizontal velocity as it would acquire if it had moved from rest with uniform acceleration of 3 m/s2 for 0.5 min. If the maximum height reached by it is 80 m, then the angle of projection is (g=10 m/s2)

Block A of mass m placed on a smooth inclined plane is connected by a string to another block B of mass M as shown in the figure. If the system is in equilibrium , express M in terms of m

A particle is simultaneously acted by two forces equal to 4 N and 3 N. The net force on the particle is

The graph shows the extension (Δl) of a wire of length 1 m, suspended from the top of a roof at one end, with a load W connected to the other end. If the cross-sectional area of the wire is 10−6 m2, Young's modulus of the material of the wire is

Which one of the following graphs represents the behaviour of an ideal gas?

A block begins to slide down a rough inclined plane of angle 45∘ and moves 1 m in 4√2 s. What is the coefficient of friction μ, between the plane and the block?(Take g=10 m/s2)

In HCl molecule, the separation between the nuclei of hydrogen and chlorine atoms is 1.27 ∘A. If the mass of a chlorine atom is 35.5 times that of a hydrogen atom, the centre of mass of the HCl molecule is at a distance of

12 mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas = 3 J gm−1 K−1) is

Two fixed charges +1μC each are 4 cm apart. A third charge of −1μC and mass 1g is placed at their centre and given a small displacement along their perpendicular bisector. Find the time period of oscillation of the ensuing SHM in milli second.

A block is moving on an inclined plane making an angle 45∘ with the horizontal and the coefficient of friction is μ. The force required to just push it up the inclined plane is 3 times the force required to just prevent it from sliding down. If we define n=10μ, then n is

P−T diagram of one mole of an ideal monatomic gas is shown. Process AB and CD are adiabatic. Work done in the complete cycle is

The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is

One of the following wavelengths is absent and the rest are present in the X-rays coming from a Coolidge tube. Which one is the absent wavelength?

A particle is projected at an angle α with the horizontal from the foot of a plane, whose inclination to the horizontal is β. Find the velocity with which the particle strikes perpendicular to the inclined plane.

A couple consisting of two forces F1 and F2 each equal to 5 N is acting at the rim of a disc of mass 2 kg and radius 0.5 m for 5 s. Initially, the disc is at rest, the final angular momentum of the disc is

Consider the situation shown in figure. What are the signs of q1 and q2?

If the Zero error of a Vernier Caliper is zero, then

A trolley containing water has total mass of 4000 kg and is moving at a speed of 40 m/s. Now water starts coming out of a hole from the bottom of the trolley at the rate of 8 kg/s. Speed of trolley after 50 s is

Four particles of masses m1,m2,m3 and m4 are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:

Water flows at a speed of 16 cm/s through a tube of radius 10 cm. Co-efficient of viscosity of water at room temperature is 0.01 Pa-s. Then, find the Reynolds number.

Consider a photon of continuous X-ray coming from a Coolidge tube. Its energy comes from

A car moves for half of the total time of travel at 80 km/h and for rest half of the time at 40 km/h.If the total distance covered is 60 km, what is the average speed of the car?

Match the following Currentsr.m.s values(1) x0 sin ω t(i) x0(2) x0 sin ω t cos ω t(ii) x0√2(3) x0 sin ω t+x0 cos ω t(iii) x0(2√2)

Dimensions of 1μ0 ϵ0,where symbols have their usual meaning,are

A force →F=α^i+3^j+6^k is acting at a point →r=2^i−6^j−12^k. Find the value of α for which angular momentum about origin is conserved.

A tuning fork vibrates at 260 Hz. Find the length of the shortest closed organ pipe that will resonate with the tuning fork. Given, speed of sound in air is 340 m/s.

Two person A and B start running from same initial point and in same direction along a circular path with speed of 5 km/hr and 2 km/hr respectively. If the length of circular path is 24 km, after what time they will meet again?

The equation of a projectile is y=ax−bx2. Its horizontal range is