If velocity of c, Plank’s constant h and gravitational cons…

Physics Units, Dimensions and Measurement Dimensions MCQ (Single Correct)

If velocity of c, Plank’s constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be

Text Solution

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The correct answer is:

Let

Where k is a dimensionless constant and x, y and z are the exponents.

Equating dimension on both sides, we get

Applying the principle of homogeneity of dimensions,

We get

y – z = 0 ….. (i)

x + 2y + 3y = 1 ….. (ii)

-x – y – 2z = 0 …… (iii)

On solving Eqs. (i), (ii) and (iii), we get

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