Dimensions of K in equation W = frac{1}{2},,K{x^2} is

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1.Units, Dimensions and Measurement

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The dimensions of $K$ in the equation $W = \frac{1}{2}\,\,K{x^2}$ is

A

${M^1}{L^0}{T^{ - 2}}$

B

${M^0}{L^1}{T^{ - 1}}$

C

${M^1}{L^1}{T^{ - 2}}$

D

${M^1}{L^0}{T^{ - 1}}$

Solution

(a) $W = \frac{1}{2}k{x^2} \Rightarrow [k] = \frac{{[W]}}{{[{x^2}]}} = \left[ {\frac{{M{L^2}{T^{ – 2}}}}{{{L^2}}}} \right] = [M{T^{ – 2}}]$

Standard 11

Physics

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