JEE physics

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Question
CBSEENPH11020461

Which one of the following represents the correct dimensions of the coefficient of viscosity?

  • ML−1 T−2

  • MLT−1

  • ML−1 T−1

  • ML−2 T−2

Solution

C.

ML−1 T−1

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Question
CBSEENPH11020462

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

  • x2

  • ex

  • x

  • logex

Solution

A.

x2

In this problem acceleration (a) is given in terms of displacement (x)  to determine the velocity with respect to position or displacement we have to apply integration method.
From given information a =-kx, where a is acceleration, x is displacement and k is proportionality constant. 
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Let for any displacement from 0 to x , the velocity changes from vo to v
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Question
CBSEENPH11020463

A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds?

  • h/9 metres from the ground

  • 7h/9 metres from the ground

  • 8h/9 metres from the ground

  • 17h/18 metres from the ground.

Solution

C.

8h/9 metres from the ground

WiredFaculty
second law of motion
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therefore s = h/9 m
Hence, the position of ball from the ground= h- h/9 = 8h/9 m

Question
CBSEENPH11020464

If space straight A with rightwards arrow on top space straight x space straight B with rightwards arrow on top space equals space straight B with rightwards arrow on top space straight x space straight A with rightwards arrow on top then the angle between A and B isπ
  • π

  • π/3

  • π/2

  • π/4

Solution

A.

π

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Question
CBSEENPH11020465

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

  • 1/R2

  • 1/R

  • R

  • R2

Solution

C.

R

We know in advance that range of projectile is same for complementary angles i.e. for θ and (900 - θ )
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