The quantity which has the same dimensions as that of gravitation

Subject

Physics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

The quantity which has the same dimensions as that of gravitational potential is

  • latent heat

  • impulse

  • angular acceleration

  • Planck's constant


A.

latent heat

Dimensions of gravitational potential

              = Dimension of workDimension of mass= ML2T-2M= L2T-2

and dimension of latent heat

              = Dimension of QDimension of M= ML2T-2M= L2T-2


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2.

The percentage error in measuring M, L and T are 1 %, 1.5% and 3% respectively. Then the percentage error in measuring the physical quantity with dimensions [ML-1 T-1] is

  • 1 %

  • 3.5 %

  • 5.5 %

  • 4.5 %


3.

From an elevated point P, a stone is projected vertically upwards when the stone reaches a distance h below P, its velocity is double of its velocity at a height h above P. The greatest height attained by the stone from the point of projection is

  • 35 h

  • 53 h

  • 57 h

  • 23 h


4.

The distance x covered by a particle varies with time t as x2 = 2t2 + 6t + 1. Its acceleration varies with x as

  • x

  • x2

  • x-1

  • x-3


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5.

A particle describes uniform circular motion in a circle of radius 2 m, with the angular speed of 2 rad s-1. The magnitude of the change in its velocity in π2 s is

  • 0 ms-1

  • 22 ms-1

  • 8 ms-1

  • 4 ms-1


6.

A body projected at an angle with the horizontal has a range 300 m. If the time of flight is 6 s, then the horizontal component of velocity is

  • 30 ms-1

  • 50 ms-1

  • 40 ms-1

  • 45 ms-1


7.

A constant force F acts on a particle of mass 1 kg moving with a velocity v, for one second. The distance moved in that time is

  • 0

  • F2

  • v + F2

  • 2F


8.

The velocity-time graph for the vertical component of the velocity of a body thrown upwards from the ground and landing on the roof of a building is given in the figure. The height of the building is

          

  • 50 m

  • 40 m

  • 20 m

  • 30 m


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9.

A spacecraft of mass 100 kg breaks into two when its velocity is 104 ms-1. After the break, a mass of 10 kg of the spacecraft is left stationary. The velocity of the remaining part is

  • 103 ms-1

  • 11.11 × 103 ms-1

  • 11.11 × 102 ms-1

  • 104 ms-1


10.

A particle tied to a string describes a vertical circular motion of radius r continually. If it has a velocity 3gr at the highest point, then the ratio of the respective tensions in the string holding it at the highest and lowest points is

  • 4 : 3

  • 5 : 4

  • 1 : 4

  • 3 : 2


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