Major Competitive Exams

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Q. A torque of 25 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially at the edge of the wheel?
  • A. 10 N
  • B. 25 N
  • C. 50 N
  • D. 5 N
Q. A torque of 30 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied at the edge of the wheel?
  • A. 60 N
  • B. 30 N
  • C. 15 N
  • D. 75 N
Q. A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially?
  • A. 15 N
  • B. 30 N
  • C. 60 N
  • D. 75 N
Q. A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially at the edge of the wheel?
  • A. 15 N
  • B. 30 N
  • C. 60 N
  • D. 75 N
Q. A torque of 40 Nm is required to rotate a wheel. If the radius of the wheel is 0.4 m, what is the force applied tangentially?
  • A. 100 N
  • B. 80 N
  • C. 60 N
  • D. 40 N
Q. A torque of 5 Nm is applied to a wheel. If the radius of the wheel is 0.25 m, what is the force applied tangentially?
  • A. 10 N
  • B. 20 N
  • C. 5 N
  • D. 15 N
Q. A torque of 5 N·m is applied to a wheel with a moment of inertia of 2 kg·m². What is the angular acceleration of the wheel?
  • A. 2.5 rad/s²
  • B. 5 rad/s²
  • C. 10 rad/s²
  • D. 1 rad/s²
Q. A torque of 50 Nm is applied to a wheel with a radius of 0.25 m. What is the force applied at the edge of the wheel?
  • A. 100 N
  • B. 200 N
  • C. 250 N
  • D. 300 N
Q. A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied tangentially to the wheel?
  • A. 100 N
  • B. 50 N
  • C. 25 N
  • D. 75 N
Q. A torque of 50 Nm is created by a force acting at a distance of 2 m. What is the force applied?
  • A. 20 N
  • B. 25 N
  • C. 30 N
  • D. 35 N
Q. A torque τ is applied to a rigid body with a moment of inertia I. If the torque is doubled, what happens to the angular acceleration? (2019)
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. A torque τ is applied to a rigid body with a moment of inertia I. What is the angular acceleration α produced in the body? (2019)
  • A. τ/I
  • B. I/τ
  • C. τ^2/I
  • D. I^2/τ
Q. A torque τ is applied to a rigid body with moment of inertia I. If the body starts from rest, what is the angular displacement θ after time t?
  • A. (1/2)(τ/I)t^2
  • B. (τ/I)t^2
  • C. (1/2)(I/τ)t^2
  • D. (I/τ)t^2
Q. A torque τ is applied to a rotating object with moment of inertia I. If the object starts from rest, what is its angular acceleration α?
  • A. τ/I
  • B. I/τ
  • C.
  • D. τI
Q. A tower is 100 meters high. From a point on the ground, the angle of elevation to the top of the tower is 30 degrees. How far is the point from the base of the tower?
  • A. 100√3 meters
  • B. 50√3 meters
  • C. 200 meters
  • D. 150 meters
Q. A tower is 40 meters high. From a point on the ground, the angle of elevation to the top of the tower is 60 degrees. How far is the point from the base of the tower?
  • A. 20√3 meters
  • B. 40 meters
  • C. 20 meters
  • D. 30 meters
Q. A tower is 50 meters high. From a point on the ground, the angle of elevation to the top of the tower is 30 degrees. What is the distance from the point to the base of the tower?
  • A. 25√3 m
  • B. 50 m
  • C. 25 m
  • D. 50√3 m
Q. A tower is 60 m high. From a point on the ground, the angle of elevation to the top of the tower is 60 degrees. How far is the point from the base of the tower? (2023)
  • A. 30 m
  • B. 40 m
  • C. 50 m
  • D. 60 m
Q. A tower is 60 meters high. From a point on the ground, the angle of elevation to the top of the tower is 45 degrees. How far is the point from the base of the tower?
  • A. 30 meters
  • B. 60 meters
  • C. 45 meters
  • D. 75 meters
Q. A tower is 80 meters high. From a point on the ground, the angle of elevation to the top of the tower is 60 degrees. How far is the point from the base of the tower?
  • A. 40 m
  • B. 80 m
  • C. 20 m
  • D. 60 m
Q. A tower is standing on a horizontal ground. The angle of elevation of the top of the tower from a point on the ground is 30 degrees. If the height of the tower is 10√3 meters, how far is the point from the base of the tower?
  • A. 10 m
  • B. 20 m
  • C. 30 m
  • D. 40 m
Q. A tower is standing on a horizontal ground. The angle of elevation of the top of the tower from a point on the ground is 30 degrees. If the height of the tower is 10√3 m, how far is the point from the base of the tower?
  • A. 10 m
  • B. 5 m
  • C. 15 m
  • D. 20 m
Q. A tower is standing on a horizontal ground. The angle of elevation of the top of the tower from a point on the ground is 30 degrees. If the height of the tower is 50 meters, how far is the point from the base of the tower?
  • A. 50√3 m
  • B. 100 m
  • C. 50 m
  • D. 100√3 m
Q. A trade agreement was signed between 4 countries. If each country can trade with every other country, how many unique trade pairs can be formed? (2020)
  • A. 4
  • B. 6
  • C. 8
  • D. 12
Q. A trade agreement was signed between 8 countries. If each country can form a partnership with every other country, how many unique partnerships can be formed?
  • A. 28
  • B. 56
  • C. 36
  • D. 64
Q. A train covers a distance of 300 km in 4 hours. What is its average speed? (2020)
  • A. 60 km/h
  • B. 70 km/h
  • C. 75 km/h
  • D. 80 km/h
Q. A train covers a distance of 300 km in 4 hours. What is its speed in km/h? (2020)
  • A. 70 km/h
  • B. 75 km/h
  • C. 80 km/h
  • D. 85 km/h
Q. A train is moving at 72 km/h and a bird flies in the opposite direction at 18 km/h. What is the speed of the bird relative to the train?
  • A. 54 km/h
  • B. 72 km/h
  • C. 90 km/h
  • D. 18 km/h
Q. A train is moving at 72 km/h and passes a platform in 20 seconds. What is the length of the train?
  • A. 100 m
  • B. 200 m
  • C. 300 m
  • D. 400 m
Q. A train is moving at 72 km/h and passes a platform in 20 seconds. What is the length of the platform if the train is 180 meters long?
  • A. 200 m
  • B. 300 m
  • C. 400 m
  • D. 500 m
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