physics : class12 Dimensional formula of torque : Torque on an Electric Dipole : Electrostatics MCQ Questions and Answers
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Dimensional formula of torque
MCQ questions and answers.
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MCQ Questions
1. What is the dimensional formula of torque?
A.
[M L T^-2]
B.
[M L^2 T^-2]
C.
[M L^2 T^-1]
D.
[M^2 L T^-2]
Correct Answer:
[M L^2 T^-2]
Explanation:
Torque is force multiplied by perpendicular distance. Since force has dimensions [M L T^-2], torque has dimensions [M L T^-2] × [L] = [M L^2 T^-2].
2. Torque has the same dimensions as which physical quantity?
A.
Power
B.
Pressure
C.
Work
D.
Impulse
Correct Answer:
Work
Explanation:
Torque has dimensional formula [M L^2 T^-2], which is also the dimensional formula of work.
3. If torque is represented by force multiplied by distance, its dimensional formula is:
A.
[M L^2 T^-2]
B.
[M L T^-1]
C.
[M L^-1 T^-2]
D.
[M^2 L^2 T^-2]
Correct Answer:
[M L^2 T^-2]
Explanation:
Force has dimensions [M L T^-2]. Multiplying it by distance [L] gives torque dimensions [M L^2 T^-2].
4. Which SI unit corresponds to the dimensional formula [M L^2 T^-2] for torque?
A.
Newton
B.
Joule
C.
Watt
D.
Pascal
Correct Answer:
Joule
Explanation:
The SI unit of torque is newton-metre, which has the same dimensions as a joule: [M L^2 T^-2].
5. The dimensional formula of torque is obtained by multiplying the dimensions of force by:
A.
Time
B.
Area
C.
Length
D.
Velocity
Correct Answer:
Length
Explanation:
Torque equals force multiplied by perpendicular distance. Therefore, the dimensions of force are multiplied by [L].
6. Which of the following represents the dimensional formula of torque in terms of fundamental dimensions?
A.
Mass × length × time^-2
B.
Mass × length^2 × time^-2
C.
Mass × length^2 × time^-1
D.
Mass × length^-1 × time^-2
Correct Answer:
Mass × length^2 × time^-2
Explanation:
Torque is force times distance. Thus, its dimensions are [M L T^-2] × [L] = [M L^2 T^-2].
7. The dimensional formula [M L^2 T^-2] can represent:
A.
Torque
B.
Force
C.
Acceleration
D.
Momentum
Correct Answer:
Torque
Explanation:
Torque has dimensions [M L^2 T^-2], obtained from force multiplied by a distance.
8. If the dimensions of force are [M L T^-2], what are the dimensions of torque?
A.
[M L T^-2]
B.
[M L^2 T^-2]
C.
[M L^2 T^-1]
D.
[M^2 L T^-2]
Correct Answer:
[M L^2 T^-2]
Explanation:
Torque is force multiplied by distance. Hence, [M L T^-2] × [L] = [M L^2 T^-2].
9. Which expression is dimensionally equivalent to torque?
A.
Mass × acceleration
B.
Force ÷ distance
C.
Force × distance
D.
Mass ÷ time
Correct Answer:
Force × distance
Explanation:
Torque is defined as force multiplied by the perpendicular distance from the axis, giving dimensions [M L^2 T^-2].
10. The dimensional formula of torque is different from that of force by an additional factor of:
A.
[L]
B.
[T]
C.
[M]
D.
[L^-1]
Correct Answer:
[L]
Explanation:
Torque equals force times distance. Therefore, compared with force, torque has one additional factor of length [L].
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