Planck's constant (h), speed of light in vacuum

Physics Units, Dimensions and Measurement NEET Previous Year Question MCQ (Single Correct)

and Newton's gravitational constant

are three fundamental constants. Which of the following combinations of these has the dimension of length? [NEET 2016]

Text Solution

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The correct answer is:

Given, Planck's constant

Speed of light in vacuum
Newton's gravitational constant

According to question, the length can be written as

Writing dimensions of physical quantity on both sides,

Applying the principle of homogeneity, we get

… (i)

… (ii)

… (iii)

Solving the eq. (i), (ii) and (iii), we get

Thus, we get,
where, is a dimensionless constant.

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