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Question

Question: Which of the following is a dimensional constant?...

Which of the following is a dimensional constant?

A

Refractive index

B

Dielectric constant.

C

Relative density.

D

Gravitational constant.

Answer

Refractive index

Explanation

Solution

P = ML−1T−2

And,  Energy  volume \frac { \text { Energy } } { \text { volume } } = [12mv2/\left[ \frac { 1 } { 2 } \mathrm { mv } ^ { 2 } / \right. volume ]=ML2 T2 L3] = \frac { \mathrm { ML } ^ { 2 } \mathrm {~T} ^ { - 2 } } { \mathrm {~L} ^ { 3 } }

= ML−1T−2

Hence (1) is correct.