A river is flowing from west to east with a speed of 5 m/min

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

111.

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

  • 150 m/s

  • 27 m/s

  • 450 m/s

  • 250 m/s


112.

Two similar charges having mass m and 2m are placed in an electric field. The ratio of their kinetic energy is :

  • 4:1

  • 1:1

  • 2:1

  • 1:2


113.

A car starts from rest, moves with an acceleration a and then decelerates at a constant rate b for sometimes to come to rest. If the total time taken is t. The maximum velocity of car is given by :

  • a b ta + b 

  • a2 ta + b

  • a ta+ b

  • b2 ta+b


Advertisement

114.

A river is flowing from west to east with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so, as to take the shortest possible path to go to the south?

  • 30o east of south

  • 60o east of south

  • 60o west of south

  • 30o west of north


A.

30o east of south

Let the swimmer swims at an angle θ with the vertical.

sin θ = νrνs      =510=12=sin 30oθ = 30o

The swimmer should swim 30o east of south to take the shortest possible path to go to the south.


Advertisement
Advertisement
115.

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 v1 The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is 

  • av2 + v12

  • a2ν2  - ν12

  • aν -  ν1

  • aν + ν1


116.

A ball is thrown vertically upward. It has a speed of 10 m/s when it has reached one-half of its maximum height. How high does the ball rise? ( Take, g = 10 m/s2 )

  • 15 m

  • 10 m

  • 20 m

  • 5 m


117.

A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd The average speed for this round trip is

  • 2 νd νuνd + νu

  • vu vd

  • vd vuvd + vu

  • vu + vd2


118.

A particle moves along a straight line OX. At a time t (in second) the distance x ( in metre ) of the particle from O is given by x = 40 + 12 t - t3 . How long would the particle travel before coming to rest?

  • 24 m

  • 40 m

  • 56 m

  • 16 m


Advertisement
119.

A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift in the centre of mass of the disc?

  • 0.4 cm

  • 2.4 cm

  • 1.8 cm

  • 1.2 cm


120.

The displacement of particle is given by x = αo+ α1t2 - α2t23 .What is its acceleration?

  • 2α23

  • -2α23

  • α2

  • Zero


Advertisement