50278 + Interview Questions in Physics

1.	Select the correct meaning of the given phrases/idioms. Hand in glove
Answer» Select the correct meaning of the given phrases/idioms. Hand in glove

1.

Select the correct meaning of the given phrases/idioms. Hand in glove

Answer»

Select the correct meaning of the given phrases/idioms.

Hand in glove

2.	A bimetallic strip on heating has radius R. The coefficients of thermal expansion are α1 and α2. If the strip having greater coefficient of thermal expansion (α1) is replaced by an identical strip having coefficient of thermal expansion 3 times its value (i.e 3α1) and heated to the same temperature difference, then the new radius of the arc is [ given, α1α2=2 ]
Answer» A bimetallic strip on heating has radius $R$ . The coefficients of thermal expansion are $α_{1}$ and $α_{2}$ . If the strip having greater coefficient of thermal expansion $(α_{1})$ is replaced by an identical strip having coefficient of thermal expansion $3$ times its value (i.e $3 α_{1}$ ) and heated to the same temperature difference, then the new radius of the arc is [ given, $\frac{α_{1}}{α_{2}} = 2$ ]

Discussion

3.	Convert the shown v−x graph to a−x graph.
Answer» Convert the shown $v - x$ graph to $a - x$ graph.

Discussion

4.	A capacitor of capacitive reactance 10 Ω is connected to an AC source having voltage V=5sin(ωt+π6). What is the value of peak current?
Answer» A capacitor of capacitive reactance $10 Ω$ is connected to an AC source having voltage $V = 5 sin (ω t + \frac{π}{6}) .$ What is the value of peak current?

Discussion

5.	What is the role of neutrons in the nucleus, as protons are held by pi-meson, what does neutrons do?
Answer» What is the role of neutrons in the nucleus, as protons are held by pi-meson, what does neutrons do?

Discussion

6.	Explain the electrostatic shielding
Answer» Explain the electrostatic shielding

Discussion

7.	Unification of electricity magnetism and optics was given by
Answer» Unification of electricity magnetism and optics was given by

Discussion

8.	The given setup is in equilibrium springs were in natural length before force was applied. If I have to replace the above setup of 1 block and 2 springs by 1 block and 1 spring, What will be the spring constant of that new spring, such that the block is displaced by the same amount as previously.
Answer» The given setup is in equilibrium springs were in natural length before force was applied. If I have to replace the above setup of 1 block and 2 springs by 1 block and 1 spring, What will be the spring constant of that new spring, such that the block is displaced by the same amount as previously.

8.

The given setup is in equilibrium springs were in natural length before force was applied. If I have to replace the above setup of 1 block and 2 springs by 1 block and 1 spring, What will be the spring constant of that new spring, such that the block is displaced by the same amount as previously.

Answer»

The given setup is in equilibrium springs were in natural length before force was applied. If I have to replace the above setup of 1 block and 2 springs by 1 block and 1 spring, What will be the spring constant of that new spring, such that the block is displaced by the same amount as previously.

Discussion

9.	Explain the principle of regelation. Why do two ice cubes stick together when pressed?
Answer» Explain the principle of regelation. Why do two ice cubes stick together when pressed?

Discussion

10.	The dissociation energy of H2 is 430.53 KJ mole−1. If H2 is dissociated by radiation of wavelength 253.7 mm. The fraction of radiant energy which will be converted into kinetic energy is
Answer» The dissociation energy of $H_{2}$ is $430.53 K J m o l e^{- 1}$ . If $H_{2}$ is dissociated by radiation of wavelength $253.7 m m$ . The fraction of radiant energy which will be converted into kinetic energy is

Discussion

11.	Two cars start off to race with velocities 4 m/s and 2 m/s and travel in a straight line with uniform accelerations 1 m/s2 and 2 m/s2 respectively. If they reach the final point at the same time instant, then what is the length of the path?
Answer» Two cars start off to race with velocities $4 m/s$ and $2 m/s$ and travel in a straight line with uniform accelerations $1 {m/s}^{2}$ and $2 {m/s}^{2}$ respectively. If they reach the final point at the same time instant, then what is the length of the path?

Discussion

12.	→A=2^i+^j,3^j−^k and →C=6^i−2^k. Value of →A−2→B+3→C would be
Answer» $\to A = 2^i +^j, 3^j -^k$ and $\to C = 6^i - 2^k$ . Value of $\to A - 2 \to B + 3 \to C$ would be

Discussion

13.	A square wire frame of linear mass density λ=3 kg/m and side length, 3 m carrying a current of 4 A with its plane in X –Y plane. A uniform magnetic field B=2 T is directed along y –axis. The initial angular acceleration of the frame in rad/s2 is [Answer upto two decimal points]
Answer» A square wire frame of linear mass density $λ = 3 k g / m$ and side length, $3 m$ carrying a current of $4 A$ with its plane in X –Y plane. A uniform magnetic field $B = 2 T$ is directed along y –axis. The initial angular acceleration of the frame in $r a d / s^{2}$ is [Answer upto two decimal points]

Discussion

14.	A projectile can have the same range R for two angles of projection. If T1 and T2 be the time of flights in the two cases, then the product of the two time of flights is directly proportional to
Answer» A projectile can have the same range R for two angles of projection. If $T _{1} a n d T_{2}$ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

Discussion

15.	An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is
Answer» An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is

Discussion

16.	The ratio of time taken by a body to cover an equal distance while sliding down a smooth to rough identical inclined plane of angle θ is ‘n′. Find the coefficient of friction.
Answer» The ratio of time taken by a body to cover an equal distance while sliding down a smooth to rough identical inclined plane of angle $θ$ is $‘ n^{'}$ . Find the coefficient of friction.

Discussion

17.	Find the frictional force between the two blocks. Take g=10 m/s2.
Answer» Find the frictional force between the two blocks. Take $g = 10 {m/s}^{2}$ .

Discussion

18.	A solid cube is first floating in a liquid. The coefficient of linear expansion of the cube is α and the coefficient of volume expansion of the liquid is γ. On increasing the temperature of the (liquid + cube) system, the cube will sink if
Answer» A solid cube is first floating in a liquid. The coefficient of linear expansion of the cube is $α$ and the coefficient of volume expansion of the liquid is $γ$ . On increasing the temperature of the (liquid + cube) system, the cube will sink if

Discussion

19.	If the degrees of freedom of a gas molecule be f, then the ratio of two specific heat capacities CPCV is given by
Answer» If the degrees of freedom of a gas molecule be f, then the ratio of two specific heat capacities $\frac{C_{P}}{C_{V}}$ is given by

Discussion

20.	A choke coil is preferred to a rheostat in ac circuit as
Answer» A choke coil is preferred to a rheostat in ac circuit as

Discussion

21.	(a) Draw a labelled diagram of an ac generator. Obtain the expression for the emf induced in the rotating coil of N turns each of cross-sectional area A, in the presence of magnetic field →B . (b) A horizontal conducting rod 10 m long extending from east to west is falling with a speed 5.0 ms−1 at right angles to the horizontal component of the Earth's magnetic field, 0.3×10−4Wb m−2. Find the instantaneous value of the emf induced in the rod.
Answer» (a) Draw a labelled diagram of an ac generator. Obtain the expression for the emf induced in the rotating coil of N turns each of cross-sectional area A, in the presence of magnetic field $\to B$ . (b) A horizontal conducting rod 10 m long extending from east to west is falling with a speed 5.0 $m s^{- 1}$ at right angles to the horizontal component of the Earth's magnetic field, $0.3 \times 10^{- 4} W b m^{- 2}$ . Find the instantaneous value of the emf induced in the rod.

Discussion

22.	A time varying force F=(2t)^j is acting on a particle of mass m=3 kg moving along y-axis. The velocity of particle is −4^j m/s at time t=0. The velocity of the particle at the end of 4 s is
Answer» A time varying force $F = (2 t)^j$ is acting on a particle of mass $m = 3 kg$ moving along y-axis. The velocity of particle is $- 4^j m/s$ at time $t = 0$ . The velocity of the particle at the end of $4 s$ is

Discussion

23.	A spherical drop of water has radius r m. If surface tension of water is 70×10−3 N/m and the pressure difference between inside and outside of the spherical drop is 280 N/m2. Find the value of r.
Answer» A spherical drop of water has radius $r m$ . If surface tension of water is $70 \times 10^{- 3} N/m$ and the pressure difference between inside and outside of the spherical drop is $280 {N/m}^{2}$ . Find the value of $r$ .

Discussion

24.	The graph shown in the figure represents a plot of current versus voltage for a given semiconductor. Identify the region, if any, over which the semiconductor has a negative resistance.
Answer» The graph shown in the figure represents a plot of current versus voltage for a given semiconductor. Identify the region, if any, over which the semiconductor has a negative resistance.

Discussion

25.	Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period.
Answer» Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period.

25.

Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period.

Answer»

Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period.

Discussion

26.	Two sound sources fixed at a given distance apart are emitting sound each of wavelength λ. A Listener moves with a velocity v0 along the line joining the two sources , the number of beats heard by him per second is
Answer» Two sound sources fixed at a given distance apart are emitting sound each of wavelength λ. A Listener moves with a velocity v₀ along the line joining the two sources , the number of beats heard by him per second is

Discussion

27.	A particle is observed from two frames S1 and S2. The frame S2 moves with respect to S1 with an acceleration a. Let F1 and F2 be the pseudo forces on the particle when seen from S1 and S2 respectively. Which of the following are not possible?
Answer» A particle is observed from two frames $S_{1} a n d S_{2}$ . The frame $S_{2}$ moves with respect to $S_{1}$ with an acceleration a. Let $F_{1} a n d F_{2}$ be the pseudo forces on the particle when seen from $S_{1} a n d S_{2}$ respectively. Which of the following are not possible?

Discussion

28.	The band gap for silicon is 1.1 eV. (a) Find the ratio of the band gap to kT for silicon at room temperature 300 K. (b) At what temperature does this ratio become one tenth of the value at 300 K ? (Silicon will not retain its structure at these high temperatures.)
Answer» The band gap for silicon is 1.1 eV. (a) Find the ratio of the band gap to kT for silicon at room temperature 300 K. (b) At what temperature does this ratio become one tenth of the value at 300 K ? (Silicon will not retain its structure at these high temperatures.)

Discussion

29.	A piece of iron of mass 100 g is kept inside a furnace for a long time and then put in a calorimeter of water equivalent 10 g containing 240 g of water at 20∘C. The mixture attains an equilibrium teperature of 60∘C. Find the temperature of the furnace. Specific heat capacity of iron =470 H kg−1∘C−1.
Answer» A piece of iron of mass 100 g is kept inside a furnace for a long time and then put in a calorimeter of water equivalent 10 g containing 240 g of water at $20^{\circ} C$ . The mixture attains an equilibrium teperature of $60^{\circ} C .$ Find the temperature of the furnace. Specific heat capacity of iron $= 470 H k g^{- 1}^{\circ} C^{- 1} .$

Discussion

30.	The pressure of H2 required to make the potential of H2 - electrode zero in pure water at 298 is
Answer» The pressure of $H_{2}$ required to make the potential of $H_{2}$ - electrode zero in pure water at 298 is

Discussion

31.	A metre scale is graduated at every millimetre. How many significant digits will be there in a limo measurement with this scale ?
Answer» A metre scale is graduated at every millimetre. How many significant digits will be there in a limo measurement with this scale ?

Discussion

32.	A charged particle of mass 1.0 g is suspended through a silk thread of length 40 cm in a horizontal electric field of intensity 4.0×104NC−1 as shown in the figure. If the particle stays in equilibrium at a distance of 24 cm from the wall, find the net charge on the particle?
Answer» A charged particle of mass 1.0 g is suspended through a silk thread of length 40 cm in a horizontal electric field of intensity $4.0 \times 10^{4} N C^{- 1}$ as shown in the figure. If the particle stays in equilibrium at a distance of 24 cm from the wall, find the net charge on the particle?

32.

A charged particle of mass 1.0 g is suspended through a silk thread of length 40 cm in a horizontal electric field of intensity 4.0×104NC−1 as shown in the figure. If the particle stays in equilibrium at a distance of 24 cm from the wall, find the net charge on the particle?

Answer»

A charged particle of mass 1.0 g is suspended through a silk thread of length 40 cm in a horizontal electric field of intensity $4.0 \times 10^{4} N C^{- 1}$ as shown in the figure. If the particle stays in equilibrium at a distance of 24 cm from the wall, find the net charge on the particle?

Discussion

33.	A mass m rests on a horizontal surface. The coefficient of friction between the mass and the surface is μ. If the mass is pulled by a force F as shown in figure, the limiting friction between the mass and the surface will be
Answer» A mass $m$ rests on a horizontal surface. The coefficient of friction between the mass and the surface is $μ$ . If the mass is pulled by a force $F$ as shown in figure, the limiting friction between the mass and the surface will be

Discussion

34.	Electric field vs. distance along the axis is shown for a uniformly charged circular ring Which of the following represents the complete graph?
Answer» Electric field vs. distance along the axis is shown for a uniformly charged circular ring Which of the following represents the complete graph?

34.

Electric field vs. distance along the axis is shown for a uniformly charged circular ring Which of the following represents the complete graph?

Answer»

Electric field vs. distance along the axis is shown for a uniformly charged circular ring

Which of the following represents the complete graph?

Discussion

35.	Postulates of Bohr's atomic theory, limitations of Bohr's
Answer» Postulates of Bohr's atomic theory, limitations of Bohr's

Discussion

36.	If →a,→b,→c are non-coplanar and →d is any unit vector the expression ∣∣(→a.→d)(→b×→c)+(→b.→d)(→c×→a)+(→a×→d)(→a×→b)∣∣ is independent of the vector
Answer» If $\to a, \to b, \to c$ are non-coplanar and $\to d$ is any unit vector the expression $∣ ∣ (\to a . \to d) (\to b \times \to c) + (\to b . \to d) (\to c \times \to a) + (\to a \times \to d) (\to a \times \to b) ∣ ∣$ is independent of the vector

Discussion

37.	Find the approximate change in the surface area of a cube of side x metre caused by decreasing the side by 1%.
Answer» Find the approximate change in the surface area of a cube of side x metre caused by decreasing the side by 1%.

Discussion

38.	In short what actually does postulates of kinetic theory of gases mean?
Answer» In short what actually does postulates of kinetic theory of gases mean?

Discussion

39.	Two boys A and B of mass 60 kg and 40 kg are standing on a platform. Both start walking towards each other with the same velocity 5 m/s. Find the velocity of the platform if mass of the platform is 100 kg.
Answer» Two boys $A$ and $B$ of mass $60 kg$ and $40 kg$ are standing on a platform. Both start walking towards each other with the same velocity $5 m/s$ . Find the velocity of the platform if mass of the platform is $100 kg$ .

Discussion

40.	The unit vector along →A=2^i+3^j is
Answer» The unit vector along $\to A = 2^i + 3^j$ is

Discussion

41.	A 0.098 kg block slides down a frictionless track as shown (Assume no energy loss on the entire track) The vertical component of the velocity of block at A is
Answer» A $0.098 kg$ block slides down a frictionless track as shown (Assume no energy loss on the entire track) The vertical component of the velocity of block at $A$ is

Discussion

42.	If two capillary tubes of radii r1 and r2 in the ratio 1:2 are dipped vertically in water, then the ratio of capillary rises in the respective tubes is
Answer» If two capillary tubes of radii $r_{1}$ and $r_{2}$ in the ratio $1 : 2$ are dipped vertically in water, then the ratio of capillary rises in the respective tubes is

Discussion

43.	A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of 45∘ with the X-axis. The two motions are given by x=x0 sin ωt and s=s0 sin ωt Find the amplitude of the resultant motion.
Answer» A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of $45^{\circ}$ with the X-axis. The two motions are given by $x = x_{0} s i n ω t$ and $s = s_{0} s i n ω t$ Find the amplitude of the resultant motion.

43.

A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of 45∘ with the X-axis. The two motions are given by x=x0 sin ωt and s=s0 sin ωt Find the amplitude of the resultant motion.

Answer»

A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of $45^{\circ}$ with the X-axis. The two motions are given by

$x = x_{0} s i n ω t$ and $s = s_{0} s i n ω t$

Find the amplitude of the resultant motion.

Discussion

44.	A piece of metal weighs 46 g in air and 30 g in a liquid of density 1.24 × 103kg/m3 kept at 27∘C. When the temperature of the liquid is raised to 42∘C, the metal piece weighs 30.5 g. The density of the liquid at 42∘C is 1.20 × 103kg/m3. Calculate the coefficient of linear expansion of the metal.
Answer» A piece of metal weighs 46 g in air and 30 g in a liquid of density $1.24 \times 10^{3} k g / m^{3}$ kept at $27^{\circ} C$ . When the temperature of the liquid is raised to $42^{\circ} C$ , the metal piece weighs 30.5 g. The density of the liquid at $42^{\circ} C$ is $1.20 \times 10^{3} k g / m^{3}$ . Calculate the coefficient of linear expansion of the metal.

Discussion

45.	What is the relation between J and LkPa ?
Answer» What is the relation between J and LkPa ?

Discussion

46.	A stone is allowed to fall from the top of the tower 100 m high and at the same time another stone is projected vertically upwards from the ground with the velocity of 25 m/s calculate when and where the two stones will meet
Answer» A stone is allowed to fall from the top of the tower 100 m high and at the same time another stone is projected vertically upwards from the ground with the velocity of 25 m/s calculate when and where the two stones will meet

Discussion

47.	Find the integral of the given function w.r.t x y=sin(8x)+x
Answer» Find the integral of the given function w.r.t x $y = s i n (8 x) + x$

47.

Find the integral of the given function w.r.t x y=sin(8x)+x

Answer»

Find the integral of the given function w.r.t x

$y = s i n (8 x) + x$

Discussion

48.	A charge Q is divided into two parts of q and Q-q . if the coulomb Repulsion between them when they are separated is to be maximum, the ratio of Q/q should be...
Answer» A charge Q is divided into two parts of q and Q-q . if the coulomb Repulsion between them when they are separated is to be maximum, the ratio of Q/q should be...

Discussion

49.	A toy gun uses a spring of force constant K. Before being triggered in the upward direction, the spring is compressed by a distance x. If the mass of the shot is m, on being triggered, it will go up to a maximum height of
Answer» A toy gun uses a spring of force constant K. Before being triggered in the upward direction, the spring is compressed by a distance x. If the mass of the shot is m, on being triggered, it will go up to a maximum height of

Discussion

50.	A spherical hole is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre of the hole due to the remaining mass is
Answer» A spherical hole is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre of the hole due to the remaining mass is

50.

A spherical hole is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre of the hole due to the remaining mass is

Answer»

A spherical hole is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre of the hole due to the remaining mass is

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Select the correct meaning of the given phrases/idioms. Hand in glove

Convert the shown v−x graph to a−x graph.

A capacitor of capacitive reactance 10 Ω is connected to an AC source having voltage V=5sin(ωt+π6). What is the value of peak current?

What is the role of neutrons in the nucleus, as protons are held by pi-meson, what does neutrons do?

Explain the electrostatic shielding

Unification of electricity magnetism and optics was given by

The given setup is in equilibrium springs were in natural length before force was applied. If I have to replace the above setup of 1 block and 2 springs by 1 block and 1 spring, What will be the spring constant of that new spring, such that the block is displaced by the same amount as previously.

Explain the principle of regelation. Why do two ice cubes stick together when pressed?

The dissociation energy of H2 is 430.53 KJ mole−1. If H2 is dissociated by radiation of wavelength 253.7 mm. The fraction of radiant energy which will be converted into kinetic energy is

Two cars start off to race with velocities 4 m/s and 2 m/s and travel in a straight line with uniform accelerations 1 m/s2 and 2 m/s2 respectively. If they reach the final point at the same time instant, then what is the length of the path?

→A=2^i+^j,3^j−^k and →C=6^i−2^k. Value of →A−2→B+3→C would be

A square wire frame of linear mass density λ=3 kg/m and side length, 3 m carrying a current of 4 A with its plane in X –Y plane. A uniform magnetic field B=2 T is directed along y –axis. The initial angular acceleration of the frame in rad/s2 is [Answer upto two decimal points]

A projectile can have the same range R for two angles of projection. If T­1 and T2 be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is

The ratio of time taken by a body to cover an equal distance while sliding down a smooth to rough identical inclined plane of angle θ is ‘n′. Find the coefficient of friction.

Find the frictional force between the two blocks. Take g=10 m/s2.

A solid cube is first floating in a liquid. The coefficient of linear expansion of the cube is α and the coefficient of volume expansion of the liquid is γ. On increasing the temperature of the (liquid + cube) system, the cube will sink if

If the degrees of freedom of a gas molecule be f, then the ratio of two specific heat capacities CPCV is given by

A choke coil is preferred to a rheostat in ac circuit as

A time varying force F=(2t)^j is acting on a particle of mass m=3 kg moving along y-axis. The velocity of particle is −4^j m/s at time t=0. The velocity of the particle at the end of 4 s is

A spherical drop of water has radius r m. If surface tension of water is 70×10−3 N/m and the pressure difference between inside and outside of the spherical drop is 280 N/m2. Find the value of r.

The graph shown in the figure represents a plot of current versus voltage for a given semiconductor. Identify the region, if any, over which the semiconductor has a negative resistance.

Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period.

Two sound sources fixed at a given distance apart are emitting sound each of wavelength λ. A Listener moves with a velocity v0 along the line joining the two sources , the number of beats heard by him per second is

A particle is observed from two frames S1 and S2. The frame S2 moves with respect to S1 with an acceleration a. Let F1 and F2 be the pseudo forces on the particle when seen from S1 and S2 respectively. Which of the following are not possible?

The band gap for silicon is 1.1 eV. (a) Find the ratio of the band gap to kT for silicon at room temperature 300 K. (b) At what temperature does this ratio become one tenth of the value at 300 K ? (Silicon will not retain its structure at these high temperatures.)

The pressure of H2 required to make the potential of H2 - electrode zero in pure water at 298 is

A metre scale is graduated at every millimetre. How many significant digits will be there in a limo measurement with this scale ?

A charged particle of mass 1.0 g is suspended through a silk thread of length 40 cm in a horizontal electric field of intensity 4.0×104NC−1 as shown in the figure. If the particle stays in equilibrium at a distance of 24 cm from the wall, find the net charge on the particle?

A mass m rests on a horizontal surface. The coefficient of friction between the mass and the surface is μ. If the mass is pulled by a force F as shown in figure, the limiting friction between the mass and the surface will be

Electric field vs. distance along the axis is shown for a uniformly charged circular ring Which of the following represents the complete graph?

Postulates of Bohr's atomic theory, limitations of Bohr's

If →a,→b,→c are non-coplanar and →d is any unit vector the expression ∣∣(→a.→d)(→b×→c)+(→b.→d)(→c×→a)+(→a×→d)(→a×→b)∣∣ is independent of the vector

Find the approximate change in the surface area of a cube of side x metre caused by decreasing the side by 1%.

In short what actually does postulates of kinetic theory of gases mean?

Two boys A and B of mass 60 kg and 40 kg are standing on a platform. Both start walking towards each other with the same velocity 5 m/s. Find the velocity of the platform if mass of the platform is 100 kg.

The unit vector along →A=2^i+3^j is

A 0.098 kg block slides down a frictionless track as shown (Assume no energy loss on the entire track) The vertical component of the velocity of block at A is

If two capillary tubes of radii r1 and r2 in the ratio 1:2 are dipped vertically in water, then the ratio of capillary rises in the respective tubes is

A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of 45∘ with the X-axis. The two motions are given by x=x0 sin ωt and s=s0 sin ωt Find the amplitude of the resultant motion.

What is the relation between J and LkPa ?

A stone is allowed to fall from the top of the tower 100 m high and at the same time another stone is projected vertically upwards from the ground with the velocity of 25 m/s calculate when and where the two stones will meet

Find the integral of the given function w.r.t x y=sin(8x)+x

A charge Q is divided into two parts of q and Q-q . if the coulomb Repulsion between them when they are separated is to be maximum, the ratio of Q/q should be...

A toy gun uses a spring of force constant K. Before being triggered in the upward direction, the spring is compressed by a distance x. If the mass of the shot is m, on being triggered, it will go up to a maximum height of

A spherical hole is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre of the hole due to the remaining mass is

A projectile can have the same range R for two angles of projection. If T1 and T2 be the time of flights in the two cases, then the product of the two time of flights is directly proportional to