(B) The dimensional formula for pressure is given by $P = \frac{F}{A} = \frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$.Now,let us check the dimensions of

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(B) The dimensional formula for pressure is given by $P = \frac{F}{A} = \frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$.Now,let us check the dimensions of energy per unit volume:$\text{Energy per unit volume} = \frac{\text{Energy}}{\text{Volume}} = \frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.Since the dimensions of pressure and energy per unit volume are identical,the correct option is $B$.

Class 11 Physics Units, Dimensions and Measurement Mix Examples-Units, Dimensions and Measurement

Medium

The dimensions of pressure are equal to

A
Force per unit volume
B
Energy per unit volume
C
Force
D
Energy

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Class 11 Questions

Class 11

Physics Questions

Chapter

Units, Dimensions and Measurement

Subtopic

Mix Examples-Units, Dimensions and Measurement

The unit $J \cdot s^2$ corresponds to which physical quantity?

Medium

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Fill in the blanks:
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$

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Match the following (Take the relative strength of the strongest fundamental forces in nature as $1$):
$I$ (Fundamental forces in nature) $II$ (Relative strength)
$(A)$ Strong nuclear force $(e)$ $10^{-2}$
$(B)$ Weak nuclear force $(f)$ $1$
$(C)$ Electromagnetic force $(g)$ $10^{10}$
$(D)$ Gravitational force $(h)$ $10^{-13}$
$(i)$ $10^{-39}$

The correct match is:

$I$ (Fundamental forces in nature)	$II$ (Relative strength)
$(A)$ Strong nuclear force	$(e)$ $10^{-2}$
$(B)$ Weak nuclear force	$(f)$ $1$
$(C)$ Electromagnetic force	$(g)$ $10^{10}$
$(D)$ Gravitational force	$(h)$ $10^{-13}$
	$(i)$ $10^{-39}$