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Motion in Two Dimensions MCQ

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Motion in Two Dimensions MCQ. We covered all the Motion in Two Dimensions MCQ in this post for free so that you can practice well for the exam.

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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

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

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