physics : class11 Derived Dimensions : Dimensions of Physical Quantities : Physical World and Measurement MCQ Questions and Answers
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Derived Dimensions
MCQ questions and answers.
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MCQ Questions
1. What is the dimensional formula of velocity?
A.
[M L T^-1]
B.
[M^0 L T^-1]
C.
[M^0 L T^-2]
D.
[M L^2 T^-1]
Correct Answer:
[M^0 L T^-1]
Explanation:
Velocity is displacement divided by time. Since displacement has dimensions [L] and time has dimensions [T], velocity has dimensions [L T^-1], written as [M^0 L T^-1].
2. What is the dimensional formula of acceleration?
A.
[M^0 L T^-1]
B.
[M L T^-2]
C.
[M^0 L T^-2]
D.
[M^0 L^2 T^-2]
Correct Answer:
[M^0 L T^-2]
Explanation:
Acceleration is the change in velocity per unit time. Therefore, its dimensions are [L T^-1] divided by [T], giving [M^0 L T^-2].
3. What is the dimensional formula of force?
A.
[M^0 L T^-2]
B.
[M L T^-1]
C.
[M L T^-2]
D.
[M L^2 T^-2]
Correct Answer:
[M L T^-2]
Explanation:
From Newton's second law, force equals mass multiplied by acceleration. Thus, force has dimensions [M] [L T^-2] = [M L T^-2].
4. What is the dimensional formula of work?
A.
[M L T^-2]
B.
[M L^2 T^-2]
C.
[M L^2 T^-1]
D.
[M^0 L^2 T^-2]
Correct Answer:
[M L^2 T^-2]
Explanation:
Work is force multiplied by displacement. Hence, its dimensions are [M L T^-2] [L] = [M L^2 T^-2].
5. What is the dimensional formula of power?
A.
[M L^2 T^-2]
B.
[M L T^-3]
C.
[M L^2 T^-3]
D.
[M^0 L^2 T^-3]
Correct Answer:
[M L^2 T^-3]
Explanation:
Power is work done per unit time. Dividing the dimensions of work, [M L^2 T^-2], by [T] gives [M L^2 T^-3].
6. What is the dimensional formula of pressure?
A.
[M L T^-2]
B.
[M L^-1 T^-2]
C.
[M L^2 T^-2]
D.
[M^0 L^-1 T^-2]
Correct Answer:
[M L^-1 T^-2]
Explanation:
Pressure is force per unit area. Therefore, its dimensions are [M L T^-2] divided by [L^2], which gives [M L^-1 T^-2].
7. What is the dimensional formula of density?
A.
[M L^3]
B.
[M L^-3]
C.
[M^0 L^-3]
D.
[M L^-2]
Correct Answer:
[M L^-3]
Explanation:
Density is mass per unit volume. Since volume has dimensions [L^3], density has dimensions [M]/[L^3] = [M L^-3].
8. What is the dimensional formula of momentum?
A.
[M L T^-1]
B.
[M L T^-2]
C.
[M L^2 T^-1]
D.
[M^0 L T^-1]
Correct Answer:
[M L T^-1]
Explanation:
Momentum is the product of mass and velocity. Thus, its dimensions are [M] [L T^-1] = [M L T^-1].
9. What is the dimensional formula of impulse?
A.
[M L T^-1]
B.
[M L T^-2]
C.
[M L^2 T^-1]
D.
[M^0 L T^-1]
Correct Answer:
[M L T^-1]
Explanation:
Impulse is force multiplied by time. Its dimensions are [M L T^-2] [T] = [M L T^-1].
10. What is the dimensional formula of the gravitational constant G?
A.
[M L T^-2]
B.
[M^-1 L^3 T^-2]
C.
[M L^3 T^-2]
D.
[M^-1 L^2 T^-2]
Correct Answer:
[M^-1 L^3 T^-2]
Explanation:
From F = Gm1m2/r^2, G = Fr^2/(m1m2). Substituting dimensions gives [M L T^-2][L^2]/[M^2] = [M^-1 L^3 T^-2].
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