JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Application +4 | -1

The dimensions of length are expressed as

G^x C^y h^z

\mathrm{G}

is the universal gravitational constant,

\mathrm{c}

is the speed of light and

\mathrm{h}

is the Planck's constant. The value of

\left(\frac{x-y}{z}\right)^{\frac{1}{x}}

View answer and explanation

Correct option: A

Option A (16) is correct because after finding the values of x, y, and z by comparing the dimensions, the expression

(\frac{{x-y}}{{z}})^{\frac{{1}}{{x}}}

evaluates to 16.

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