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Question

If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) in terms of t, v and l is :

A
[t2v1l1]
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B
[t1v1l2]
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C
[t1v2l1]
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D
[t1v2l1]
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Solution

The correct option is C [t1v2l1]
Given:
t, v and l are the fundamental units.

m tavblc

Using dimensions

[M1L0T0] = [T]a[LT1]b[ML2T1]c

M1L0T0=Mc Lb+2c Tabc

After comparing powers, we get

c=1, b=2, a=1

m =[ t1v2l1]

Hence, option (D) is correct.

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