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Units and Dimensions – 2 – 10

96. If force F, length L and time T be considered fundamental units, then units of mass will be :

(a) F L T –2
(b) F L –2–1
(c) F L –12
(d) F 2 L T –2
Answer
Answer : (c)

Explanation
No answer description available for this question. Let us discuss.

97. If C be the capacitance and V be the electric potential, then the dimensional formula of CVis :

(a) M L T –2 A 0
(b) M L T –2 A –1
(c) M 0 L T –2 A 0
(d) M L -3 T  A 

Answer
Answer : (a)

Explanation
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98. Velocity v is given by v = at2+bt+c, where t is time. What are the dimensions of a, b and c respectively?

(a) [L T –3], [L T –2] and [L T –1]
(b) [L T –1], [L T –2] and [L T –3]
(c) [L T –2], [L T –3] and [L T –1]
(d) [L T –1], [L T –3] and [L T –2]

Answer
Answer : (a)

Explanation
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99. Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimension of permeability is :

(a) M –1 L  T –2 A
(b) M L –2  T –2 A –1
(c) M L T –2 A –2
(d) M L T –1 A –1

Answer
Answer : (c)

Explanation
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100. The dimensional formula of 1/μ0ε0 is :

(a) M 0 L T –2
(b)0 L –2–2
(c) M 0 L T –1
(d)0 L 2–2
Answer
Answer : (d)

Explanation
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