Motion in Two Dimensions MCQ

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MCQ on Motion in Two Dimensions for NEET Students

A body of mass 20 kg is rotating in a vertical circle at the end of a string of length 4 meters. The difference in the kinetic energy at the top and bottom and top of the circle is (g = 10 m/s²)

(A) 1800 J

(B) 1000 J

(C) 1600 J

(D) 2000 J

Option c – 1600 J

A helicopter is flying horizontally with a velocity of 500 km/h at a height of 2000 m. When the helicopter is at a center point P then it drops a food packet. The food packet strikes the ground at point Q. The distance PQ is

(A) 2.81 km

(B) 3.46 km

(C) 4.81 km

(D) 1.23 km

Option a – 2.81 km

The maximum height attained by a projectile is increased by 8% by increasing its speed of projection, without changing the angle of projection. The percentage of increase in the time of flight of the projectile will be

(A) 8%

(B) 16%

(C) 4%

(D) 6.25%

Option d – 6.25%

Which of the following statements is true?

(A) At the highest point of the path of a projectile kinetic energy is maximum

(B) At the highest point of the path of a projectile kinetic energy in minimum

(C) At the highest point of the path of a projectile acceleration due to gravity is maximum

(D) At the highest point of the path of a projectile acceleration due to gravity is minimum

Option b – At the highest point of the path of a projectile kinetic energy in minimum

Find the greatest number of revolutions per minute made by a mass of 4 kg which describes a circle of radius 3 m on a smooth horizontal table at a uniform speed. The mass is joined to the center of the circle by a string that can just withstand 40 N.

(A) 17 rev/min

(B) 20 rev/min

(C) 8 rev/min

(D) 5 rev/min

Option a – 17 rev/min

Which of the following statements is true?

(A) The range of the projectile is minimum at an angle of 180°.

(B) The range of the projectile is minimum at an angle of 90°.

(C) The range of the projectile is minimum at an angle of 60°.

(D) The range of the projectile is minimum at an angle of 45°.

Option b – The range of the projectile is minimum at an angle of 90°.

What will be the maximum height attained by the ball thrown by a man above the point of projection if it reaches the other man in 4 s? (g = 10 m/s²)

(A) 20 m

(B) 40 m

(C) 15 m

(D) 60 m

Option a – 20 m

If a ball thrown upwards returns to the ground describing a parabolic path, then which of the following remains constant?

(A) Speed of the ball.

(B) The vertical component of velocity.

(C) The horizontal component of velocity.

(D) The kinetic energy of the ball.

Option c – The horizontal component of velocity.

Find the maximum height of a ball kicked with an angle of 60° with a horizontal velocity of 20 m/s. (g = 10 m/s²)

(A) 40 m

(B) 30 m

(C) 60 m

(D) 80 m

Option c – 60 m

Find the linear velocity of a body that revolves 6 times in a circle of radius 4 cm in one minute.

(A) 0.1 m/s

(B) 0.01 m/s

(C) 0.025 m/s

(D) 0.05 m/s

Option c – 0.025 m/s

Calculate the time of flight of a ball projected at an angle of 30° with a velocity of 20 m/s. (g = 10 m/s²)

(A) 6 s

(B) Is

(C) 2 s

(D) 4 s

Option c – 2 s

In the case of uniform circular motion, which of the following physical quantities varies?

(A) Momentum

(B) Speed

(C) Mass

(D) Kinetic energy

Option a – Momentum

What will be the value of frictional force acting on the 80 kg cyclist, moving around a circular road of radius 4 m by bending inward at an angle of 30° with vertical? (g = 10 m/s²)

(A) 231 N

(B) 462 N

(C) 326 N

(D) 481 N

Option b – 462 N

Find the most suited velocity on the 10 m wide road having a radius of curvature of 50 m. The outer edge of the road is above the lower edge by a distance of 2 m. (Take g = 10 m/s²)

(A) 15 m/s

(B) 20 m/s

(C) 5 m/s

(D) 10 m/s

Option d – 10 m/s

The angle of projection for a projectile thrown perpendicular vertically is

(A) 30°

(B) 90°

(C) 0°

(D) 60°

Option c – 0°

Calculate the minimum value of the coefficient of friction required to prevent the skidding of the car which is moving with a speed of 80 km/hr traversing a circular track of radius 80 m. (Take g = 10 m/s²)

(A) 0.71

(B) 0.62

(C) 0.23

(D) 0.54

Option b – 0.62

Assertion: At the top of the trajectory of a projectile, acceleration is ‘g’. Reason: Acceleration throughout the projectile motion remains constant and is equal to g.

(A) The assertion is True, Reason is True; Reason is a correct explanation for Assertion.

(B) The assertion is True, and Reason is True; Reason is not a correct explanation for Assertion.

(C) The assertion is True, Reason is False.

(D) The assertion is False, Reason is True.

Option a – The assertion is True, Reason is True; Reason is a correct explanation for Assertion.

What is the horizontal range attained by a shell fired from cannon with a velocity of 250 m/s at an angle of 30°? (g = 10 m/s²)

(A) 1.98 km

(B) 2.64 km

(C) 6.23 km

(D) 5.41 km

Option d – 5.41 km

What will be the acceleration of the car moving on a circular path of radius 200 m with a speed of 40 m/s, which is increasing at the rate of 4 m/s²?

(A) 12 m/s²

(B) 9 m/s²

(C) 5 m/s²

(D) 10 m/s²

Option b – 9 m/s²

The ratio of angular speeds of the minute hand and hour hand of a watch is

(A) 1 : 6

(B) 12 : 1

(C) 6 : 1

(D) 1:12

Option b – 12 : 1

A ball is rolled-off the edge of a horizontal table at a speed of 5 m/s. It hits the ground after 0.5 s. The height of the table will be (g = 10 m/s²)

(A) 1.5 m

(B) 3.28 m

(C) 2.50 m

(D) 1.25 m

Option d – 1.25 m

Which of the following statements is ‘WRONG’? ( Motion in Two Dimensions MCQ )

(A) Angular displacement has dimensions.

(B) Finite angular displacement has magnitude and direction.

(C) Finite angular displacement is not a vector.

(D) Infinitesimal angular displacement is a vector.

Option a – Angular displacement has dimensions.

A 5 kg object attached to a nylon cord outside a space vehicle is performing a circular motion with a speed of 6 m/s when acted by a force of 100 N. Calculate the radius of the path taken by the object.

(A) 0.8 m

(B) 2.8 m

(C) 3.8 m

(D) 1.8 m

Option d – 1.8 m

Find the maximum tension in a 2 m long string when a stone of 4 kg is tied to it and is whirled in a vertical circle with a speed of 6 m/s. (g = 10 m/s²)

(A) 112 N at the lowest point

(B) 112 N at the highest point

(C) 226 N at the lowest point

(D) 226 N at the highest point

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Option a – 112 N at the lowest point

A mass of m kg describes a circle of radius 2 m on a smooth horizontal table at a uniform speed. It is joined to the center of the circle by a string that can just withstand the force of 40 N. If the greatest number of revolutions per minute the mass can make is 60 rev/min, then find its mass.

(A) 0.51 kg

(B) 2 kg

(C) 1 kg

(D) 2.52 kg

Option a – 0.51 kg

A particle of mass 6.2 kg is rotating by means of a string in a vertical circle. The difference in the tension at the bottom and top would be

(A) 372 N

(B) 146 N

(C) 128 N

(D) 209 N

Option a – 372 N

What will be the resultant acceleration of a motorcyclist moving along a circular path of radius 200 m with a speed of 20 m/s?

(A) 4 m/s²

(B) 3 m/s²

(C) 2 m/s²

(D) 1.8 m/s²

Option c – 2 m/s²

The average velocity of an object is obtained by

(a) Dividing the total distance traveled by the total time taken

(b) Half of the sum of the initial velocity and the final velocity

(c) Both (a) and (b)

(d) None of the above

Option b – Half of the sum of the initial velocity and the final velocity

A negative value of acceleration signifies

(a) The velocity is increasing

(b) The velocity is decreasing

(c) The velocity remains the same

(d) The object comes to rest

Option b – The velocity is decreasing

In distance-time graphs

(a) Distance is taken along the X-axis

(b) Time is taken along the Y-axis

(c) a Straight line indicates uniform motion

(d) a Straight line indicates non-uniform motion

Option c – a Straight line indicates uniform motion

In velocity-time graphs

(a) Velocity is taken along the Y-axis and Time is taken along the X-axis

(b) a Straight line indicates uniform acceleration

(c) a Straight line parallel to the x-axis indicates uniform motion

(d) All of the above

Option d – All of the above

If a body is moving at constant speed in a circular path, its

(a) velocity is constant and its acceleration is zero

(b) velocity and acceleration are both changing directions only

(c) velocity and acceleration are both increasing

(d) velocity is constant and acceleration is changing direction

Option b – velocity and acceleration are both changing directions only

A graph is plotted to show the velocity of a car as a function of time. If the graph is a straight line, it means that

(a) the car started at rest

(b) acceleration was constant

(c) acceleration was increasing

(d) velocity was constant

Option b – acceleration was constant

If a car is traveling north on a straight road and its brakes are applied, it will

(a) have no acceleration

(b) accelerate to the south

(c) accelerate to the north

(d) accelerate either east or west

Option b – accelerate to the south

An object moves with a uniform velocity when

(a) the forces acting on the object are balanced

(b) there is no external force on it

(c) Both (a) and (b)

(d) Either (a) or (b)

Option c – Both (a) and (b)

The acceleration of a car that speeds up from 12 meters per second to 30 meters per second in 15 seconds

(a) 2.4 m/s²

(b) 1.2 m/s²

(c) 2 m/s²

(d) 5.2 m/s²

Option b – 1.2 m/s²

The motion of an object is the change in position with respect to a reference point known as

(a) origin

(b) initial position

(c) final position

(d) distance

Option a – origin

Displacement is the

(a) the shortest distance between initial and final positions

(b) the actual distance between the initial and final positions

(c) the distance traveled by the object

(d) the distance traveled by the object in a unit of time

Option a – the shortest distance between initial and final positions

An object has traveled 10 km in 15 minutes, its displacement will be

(a) 10km

(b) Can be zero

(c) More than 10 km

(d) All of the above

Option d – All of the above

If an object covers equal distances in equal intervals of time, it is said to be in

(a) Circular Motion

(b) Uniform Motion

(c) Oscillatory Motion

(d) Non-uniform Motion

Option b – Uniform Motion

Two balls A and B of the same mass are thrown from the top of the building. A, thrown upward with velocity V and B, thrown downward with velocity V, then

(a) the Velocity of A is more than B at the ground

(b) the Velocity of B is more than A at the ground

(c) Both A and B strike the ground with the same velocity

(d) None of these

Option c – Both A and B strike the ground with the same velocity

A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds

(a) h/9 meters from the ground

(b) 7h/9 meters from the ground

(c) 8h/9 meters from the ground

(d) 17h/18 meters from the ground

Option c – 8h/9 meters from the ground

When a bus suddenly takes a turn, the passengers are thrown outwards because of

(a) inertia of motion

(b) acceleration of motion

(c) speed of motion

(d) Both (b) and (c)

Option a – inertia of motion

A thief snatches a purse and runs due west, going 6.0 meters per second. A policeman, 15 meters to the east, sees the event and gives chase. If the officer is a good sprinter, going at 8.5 meters per second, how far does he have to run to catch the thief

(a) 12 m

(b) 51m

(c) 61m

(d) 55 m

Option b – 51m

A car going at 24 meters per second passes a motorcycle at rest. As it passes, the motorcycle starts up, accelerating at 3.2 meters per second squared. If the motorcycle can keep up that acceleration, how long will it take for it to catch the car

(a) 12 s

(b) 14s

(c) 20 s

(d) 18 s

Option b – 14s

A man walks on a straight road from his home to market 2.5km. away with a speed of 5 km/h. Finding the market. closed, he instantly turns and walks back home at a speed of 7.5 km/h. The average speed of the man over the interval of time is 0 to 40 min. is equal to

(a) 5 km/h

(b) 25/4 km/h

(c) 30/4 km/h

(d) 45/8 km/h

Option d – 45/8 km/h

A ball is dropped from a window 24 meters high. How long will it take to reach the ground?

(a) 2.2 s

(b) 1.2 s

(c) 4.5 s

(d) 0.2 s

Option a – 2.2 s

Mohan takes 20 minutes to cover a distance of 3.2 kilometers due north on a bicycle, his velocity in kilometers/ hour

(a) 8.1

(b) 9.6

(c) 1.2

(d) 7.2

Option b – 9.6

A pitcher throws his fastball horizontally at 42.1 meters per second. How far does it drop before crossing the plate, 18.3 meters away?

(a) 0.8m

(b) 1.2m

(c) 2.2m

(d) 0.93m

Option d – 0.93m

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