The ratio of the numerical value of the average velocity and aver

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 Multiple Choice QuestionsMultiple Choice Questions

171.

A police jeep is chasing with a velocity of 45 km/h, a thief in another jeep moving with velocity 153 km/h. Police fire a bullet with muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is :

  • 150 m/s

  • 27 m/s

  • 450 m/s

  • 250 m/s


172.

A car covers 2/5 of a certain distance with speed v1 and rest 3/5 part with velocity v2. The average speed of the car is :

  • 12v1v2

  • 5v1v23v1+2v2

  • 2v1v2v1+v2

  • v1+v22


173.

Apparent frequency of sound of engine is changing in the ratio 5/3 under the condition that engine is first aprroaching and then receding away from the observer. If velocity of sound is 340 m/s, then velocity of engine is

  • 340 m/s

  • 170 m/s

  • 85 m/s

  • 310 m/s


174.

If a body travels half the distance with velocity v1 and the next half with velocity v2,its average velocity will be given by

  • v = v1v2

  • v = v1 + v12

  • v = v1v2

  • 2v = 1v1 + 1v2


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175.

The ratio of the numerical value of the average velocity and average speed of body is always

  • unity

  • unity or less

  • unity or more

  • less than unity


B.

unity or less

The average speed of a particle in a given interval of time is defined as the ratio of distance travelled to the time taken while average velocity is defined as the ratio of displacement to time taken. Thus, if the distance travelled is Δs and displacement of a particle is Δr in a given time interval Δt then

          vav  = average speed = st

and     vav = average velocity = rt

So, the required ratio is always unity or less than one.


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176.

A wheel of car is revolving at the rate of 1200 cycle/min. On pressing the accelerator, after 10s, it does 4500 cycle/min then radial acceleration of the wheel is

  • 30 rad/s2

  • 1880 degree/s2

  • 40 rad/s2

  • 1980 degree/s2


177.

If a body loses half of its velocity on penetrating 3 cm in a wooden block then how much will it penetrate more before coming to rest?

  • 1 cm

  • 2 cm

  • 3 cm

  • 4 cm


178.

A stone is dropped in 19.6 m depth well, echo is heard in  2.06 s, then velocity of sound is

  • 315.2 m/s

  • 320.5 m/s

  • 326.7 m/s

  • 332.4 m/s


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179.

An observer is coming towards plane mirror with a speed of 6 m/s, then apparent velocity of his image is

  • 6 m/s

  • 4 m/s

  • 12 m/s

  • 3 m/s


180.

A man wants to slide down a rope. The breaking load for the rope is 23rd ofthe weight of the man. With what minimum acceleration should fireman slide down?

  • g/4

  • g/3

  • 2g/3

  • g/6


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