Water is flowing with velocity 4 m s-1 in a cylinder of

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141.

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


142.

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


143.

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is proportional to

  • t

  • t

  • t2

  • t3/2


144.

Assertion: The speedometer of an automobile measures the average speed of the automobile. 

Reason:  Average velocity is equal to total distance divided by total time taken.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


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145.

A particle is moving eastwards with a velocity of 5 m/s. In 10 s, the velocity changes to 5 m/s northwards. The average acceleration in this time is

  • zero

  • 1/√2 m s-2 towards north-west

  • 1/√2 m s-2 towards north-east

  • 1/√2 m s-2 towards north


146.

Assertion:  The relative velocity between any two bodies moving in opposite direction is equal to sum of the velocities of two bodies. 

Reason:  Sometimes relative velocity between two bodies is equal to difference in velocities of the two bodies.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


147.

If a vector 2 i^ + 3 j^ + 8 k^ is perpendicular to the vector 4 i^ - 4 j^ + α k^, then value of α is

  • -1

  • 12

  • - 12

  • 1


148.

A particle is thrown vertically upwards with velocity 11.2 km s1 from the surface of earth. Calculate its velocity at height 3 R. Where R is the radius of earth

  •  9.25 km s-1

  •  5.6 km s-1

  •  11.2 km s-1

  •  4.3 km s-1


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149.

Water is flowing with velocity 4 m s-1 in a cylinder of diameter 8 cm, it is connected to a pipe with it end tip of diameter 2 cm, calculate the velocity of water at this free end.

  • 4 m s-1

  • 8 m s-1

  • 32 m s-1

  • 64 m s-1


D.

64 m s-1

Here ν1 = 4 m s-1

        A1π r1  2

⇒    A1 = 16π × 10-4 m2

        A2 =  π r2  2

⇒     A2π × 10-4 m2

∴     v2A1 v1A2

            = 16 π × 10-4 × 4π × 10-4

        v2 = 64 m s-1

Velocity of water at free end 

         v2 = 64 m s-1


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150.

If maximum speed in SHM is given by Vm, what is its average speed?

  • π2 Vm

  • 2π Vm

  • π4 Vm

  • Vm2


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