Quantities A and B are related by relation, m = A/B , where m is linear density and A is force. dime

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1.Units, Dimensions and Measurement

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The quantities $A$ and $B$ are related by the relation, $m = A/B$, where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of

A

Pressure

B

Work

C

Latent heat

D

None of the above

Solution

(c) $m$ = linear density = mass per unit length = $\left[ {\frac{M}{L}} \right]$

$A= force =$ $[ML{T^{ – 2}}]\;$ [B]=$\frac{{[A]}}{{[m]}} = \frac{{[ML{T^{ – 2}}]}}{{[M{L^{ – 1}}]}}$$ = [{L^2}{T^{ – 2}}]$

This is same dimension as that of latent heat.

Standard 11

Physics

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