A metro train starts from rest and in 5 s achieves 108 km/h.

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 Multiple Choice QuestionsMultiple Choice Questions

121.

The area of the acceleration-displacement curve of a body gives

  • impulse

  • change in momentum per unit mass

  • change in KE per unit mass

  • total change in energy


122.

Velocity-time curve for a body projected vertically upwards is

  • parabola

  • ellipse

  • hyperbola

  • straight line


123.

The numerical ratio of displacement to the distance covered is always

  • less than one

  • equal to one

  • equal to or less than one

  • equal to or greater than one


124.

A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is

  • east-north direction

  • west-north direction

  • south-east direction

  • None of the above


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125.

A metro train starts from rest and in 5 s achieves 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.

  • 12.2 s

  • 15.3 s

  • 9 s

  • 17.2 s


D.

17.2 s

Given:- v= 108 km/h = 30 m/s

For first equation of motion

          v = u +  α t

         30 = 0 + α × 5                   (  u = 0)

⇒          a = 6 m/s2

So, distance travelled by metro train in 5s

             s1 = 12α t2  

                 = 12 × 6 ×52

             s1 = 75 m

Distance travelled before coming to rest = 45 m

So, from third equation of motion

            02 = 302 - 2 α'  × 45

⇒          α' = 30 × 302 × 45

⇒           α' = 10 m/s2

Time taken in travelling 45 m is

             t3 = 3010

               t3 = 3s

Now, total distance = 395 m

i.e       75 + s' + 45 = 395 m

i.e        s'  = 395 - (75 + 45)

⇒          s' = 275 m             

∴           t2 =  27530

             t2  = 9.2 s

Hence, total time taken in whole journey

              = t1 + t2 + t3

              = 5 + 9.2 + 3

               = 17.2 s 


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126.

A police party is moving in a jeep at a constant speed v. They saw a thief at a distance x on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration a. Which of the following relations is true if the police is able to catch the thief?

  • v2 < αx

  • v2 < 2αx

  • v2 ≥ 2αx

  • v2 = αx


127.

The engine of a jet aircraft applies a thrown force of 105 N during take off and causes the plane to attain a velocity of 1 km/s in 10 s. The mass of the plane is

  • 102 kg

  • 103 kg

  • 104 kg

  • 105 kg


128.

A stone is weighing 1 kg and sliding on ice with a velocity of 2 m/s is stopped by friction in 10 s. The force of friction (assuming it to be constant) will be

  • - 20 N

  • -0.2 N

  • 0.2 N

  • 20 N


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129.

When a ceiling fan is switched on, it makes 10 revolution in the first 3 s. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 s

  • 10

  • 20

  • 30

  • 40


130.

Two boys are standing at the ends A and B of a ground, where AB= a. The boy at B starts running in a direction perpendicular to AB with velocity The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is

  • av2 + v12

  • a2v2 - v12

  • av - v1  

  • av + v1


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