Time period of pendulum, on a satellite orbiting the earth,

Subject

Physics

Class

NEET Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

A man is at a distance of  6 m from a bus. The bus begins to move with a constant acceleration of 3ms.In order to catch the bus, the minimum speed with which the man should run towards the bus is

  • 2 m s-1

  • 4 m s-1

  • 6 m s-1

  • 8 m s-1


2.

If  A and B are non-zero vectors which obey the relation   A + B  =  A - B , then the angle between them is

  • 0o

  • 60o

  • 90o

  • 120o


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3.

Time period of pendulum, on a satellite orbiting the earth, is

  • 1π

  • zero

  • π

  • infinity


D.

infinity

On an artificial satellite orbiting the earth the acceleration is given by GMR2 towards the centre of the earth.

Now for a body of mass m on the satellite the graviational force due to earth is  G MmR2 towards the centre of the earth.

Let the reaction force on the surface of the satellite be N, then

          G MmR2 - N = m G MR2

⇒           N = 0

That is on the satellite there is a state of weightlessness or  g = 0

           T = 2 π lg = ∞

Hence     T = ∞


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4.

A gun of mass 10 kg fires 4 bullets per second. The mass of each bullet is 20 g and the velocity of the bullet when it leaves the gun is 300 m s-1. The force required to hold the gun when firing is

  • 6 N

  • 8 N

  • 24 N

  • 240 N


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5.

A stone of mass 0.3 kg attached to a 1.5 m long string is whirled around in a horizontal circle at a speed of 6 m s-1 The tension in the string is

  • 10 N

  • 20 N

  • 7.2 N

  • 30 N


6.

A ball is dropped from the top of a building 100 m high. At the same instant another ball is thrown upwards with a velocity of 40 m/s from the bottom of the building. The two balls will meet after

  • 3 s

  • 2 s

  • 2.5 s

  • 5 s


7.

If the linear momentum is increased by 50%, then kinetic energy will increase by

  • 0 %

  • 100 %

  • 125 %

  • 25 %


8.

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M to transfer it from a circular orbit of radius R, to another of radius R2 (R2 > R1 ) is

  • GmM 1R12 - 1R22

  • GmM 1R1 - 1R2

  • 2 GmM 1R1 - 1R2

  • 12 GmM 1R1- 1R2


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9.

A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the sphere is

  • 5 kg m2

  • 2.7 kg m2

  • 3.5 kg m2

  • 4.5 kg m2


10.

A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled (x)?

 


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