Physics - Motion Plane - Quiz-1

A ball rolls off top of a staircase with a horizontal velocity u $m / s$ . If the steps are h metre high and b mere wide, the ball will just hit the edge of nth step if n equals to

0%

$\frac{h u^{2}}{g b^{2}}$
0%

$\frac{u^{2} 8}{g b^{2}}$
0%

$\frac{2 h u^{2}}{g b^{2}}$
0%

$\frac{2 u^{2} g}{h b^{2}}$

A man standing on the roof of a house of height h throws one particle vertically downwards and another particle horizontally with the same velocity u. The ratio of their velocities when they reach the earth’s surface will be

0%

$\sqrt{2 g h + u^{2}} : u$
0%

1:2
0%

1:1
0%

$\sqrt{2 g h + u^{2}} : \sqrt{2 g h}$

Path of a projectile with respect to another projectile so long as both remain in the air is:

0%

Circular
0%

Parabolic
0%

Straight
0%

Hyperbolic

A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be

0%

5 m
0%

4.8 m
0%

3.2 m
0%

3.0 m

A particle is projected at an angle $θ$ with horizontal with an initital speed u. When it makes an angle $α$ with horizontal, its speed v is-

0%

$u \cos θ$
0%

$u \cos θ u \cos α$
0%

$\frac{u \sin θ}{\sin α}$
0%

$\frac{u \cos θ}{\cos α}$

A particle is moving along the path y = $x^{2}$ from x = 0 m to x = 2 m. Then the distance traveled by the particle is:

0%

4 m
0%

$\sqrt{20} m$
0%

$> \sqrt{20} m$
0%

$< \sqrt{20} m$

Six particles situated at the corners of a regular hexagon of side 'a' move at constant speed v. Each particle maintains a direction towards the particle at the next. The time which the particles will take to meet each other is-

0%

$\frac{2 a}{v} \sec$
0%

$\frac{a}{v} \sec$
0%

$\frac{2 a}{3 v} \sec$
0%

$\frac{3 a}{v} \sec$

A body is projected with velocity $20 \sqrt{3}$ m/s with an angle of projection 60 $°$ with horizontal. Calculate velocity on that point where body makes an angle 30 $°$ with the horizontal.

0%

20 m/s
0%

$\frac{20}{\sqrt{3}} m / s$
0%

$10 \sqrt{3} m / s$
0%

10 m/s

In a uniform circular motion, which of the following quantity is not constant

0%

Angular momentum
0%

Speed
0%

Kinetic energy
0%

Momentum

A particle is moving with veocity $\vec{v} = k (y \hat{i} + x \hat{j})$ ; where k is constant. The general equation for the path is:

0%

$y = x^{2} + constant$
0%

$y^{2} = x^{2} + constant$
0%

$y = x + constant$
0%

xy=constant

A particle is projected with a velocity u making an angle $θ$ with the horizontal. At any instant, its velocity v is at right angles to its initial velocity u; then v is:

0%

ucos $θ$
0%

utan $θ$
0%

ucot $θ$
0%

usec $θ$

A projectile is given an initial velocity of $\hat{i} + 2 \hat{j}$ . The cartesian equation of its path is (g = 10 ${ms}^{- 2}$ )

0%

$y = 2 x - 5 x^{2}$
0%

$y = x - 5 x^{2}$
0%

$4 y = 2 x - 5 x^{2}$
0%

$y = 2 x - 25 x^{2}$

A ship A is moving westwards with a speed of 10 km $h^{- 1}$ and a ship B, 100 km south of A is moving northwards with a speed of 10 km $h^{- 1}$ . The time after which the distance between them becomes the shortest, is:

0%

5 hr
0%

$5 \sqrt{2}$ hr
0%

$10 \sqrt{2}$ hr
0%

0 hr

Time taken by the projectile to reach from A to B is t. Then the distance AB is equal to :

0%

$\frac{u t}{\sqrt{3}}$
0%

$\frac{\sqrt{3} u t}{2}$
0%

$\sqrt{3} u t$
0%

2ut

A particle projected with kinetic energy $k_{0}$ with an angle of projection $θ$ . Then the variation of kinetic K with vertical displacement y is

0%

linear
0%

parabolic
0%

hyperbolic
0%

periodic

A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr, at an angle $θ$ w.r.t. the river. If AB=BC=400m. Then-

0%

time taken by the man is 12 min
0%

time taken by the man is 8 min
0%

the value of $θ$ is 45 $°$
0%

the value of $θ$ is 53 $°$

A body is thrown horizontally with a velocity $\sqrt{2 g h}$ from the top of a tower of height h. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is:

0%

h
0%

$\frac{h}{2}$
0%

2h
0%

$\frac{2 h}{3}$

Two men P & Q are standing at corners A & B of square ABCD of side 8 m. They start moving along the track with constant speed 2 m/s and 10 m/s respectively. The time when they will meet for the first time, is equal to:

0%
2 sec
0%

3 sec
0%

1 sec
0%

6 sec

A particle starts from the origin at t=0 and moves in the x-y plane with constant acceleration 'a' in the y direction. Its equation of motion is $y = b x^{2}$ . The x component of its velocity (at t=0) is:

0%

variable
0%

$\sqrt{\frac{2 a}{b}}$
0%

$\frac{a}{2 b}$
0%

$\sqrt{\frac{a}{2 b}}$

A body is projected with a velocity u with an angle of projection $θ$ . Change in velocity after the time (t) from the time of projection will be

0%

gt
0%

$\frac{1}{2} g t^{2}$
0%

u sin $θ$
0%

u cos $θ$

What determines the nature of the path followed by the particle?

0%

Speed only
0%

Velocity only
0%

Acceleration only
0%

None of these

A boat is sent across a river in perpendicular direction with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :

0%

10 km/hr
0%

8 km/hr
0%

6 km/hr
0%

4 km/hr

A boat is moving with velocity of $3 \hat{i} + 4 \hat{j}$ in river and water is moving with a velocity of $- 3 \hat{i} - 4 \hat{j}$ with respect to ground. Relative velocity of boat with respect to water is:

0%

$- 6 \hat{i} - 8 \hat{j}$
0%

$6 \hat{i} + 8 \hat{j}$
0%

$8 \hat{j}$
0%

$6 \hat{i}$

A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip(returning to the initial point) is:

0%

5 min
0%

60 min
0%

20 min
0%

30 min

Two bodies are projected with the same velocity. If one is projected at an angle of 30° and the other at an angle of 60° to the horizontal, the ratio of the maximum heights reached is

0%

3 : 1
0%

1 : 3
0%

1 : 2
0%

2 : 1

A river is flowing from W to E 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.

0%

30° with downstream
0%

60° with downstream
0%

120° with downstream
0%

South

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

0%

East-north direction
0%

West-north direction
0%

South-east direction
0%

None of these

A ball P is dropped vertically and another ball Q is thrown horizontally from the same height and at the same time. If air resistance is neglected, then

0%

Ball P reaches the ground first
0%

Ball Q reaches the ground first
0%

Both reach the ground at the same time
0%

The respective masses of the two balls will decide the time

A frictionless wire AB is fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by this ball to slip from A to B is

0%

$\frac{2 \sqrt{g R}}{g \cos θ}$
0%

$2 \sqrt{g R} . \frac{\cos θ}{g}$
0%

$2 \sqrt{\frac{R}{g}}$
0%

$\frac{g R}{\sqrt{g \cos θ}}$

A body is slipping from an inclined plane of height h and length l. If the angle of inclination is θ, the time taken by the body to come from the top to the bottom of this inclined plane is

0%

$\sqrt{\frac{2 h}{g}}$
0%

$\sqrt{\frac{2 l}{g}}$
0%

$\frac{1}{\sin θ} \sqrt{\frac{2 h}{g}}$
0%

$\sin θ \sqrt{\frac{2 h}{g}}$

0:0:1

Practice Physics Quiz Questions and Answers

0:0:1

Practice Physics Quiz Questions and Answers

Support mcqexams.com by disabling your adblocker.