Physics

# Which of the following pair have same dimensional formula for both the quantities?i) kinetic energy and torqueii)  resistance and inductanceiii)  Young's modulus and pressure

All the three

##### SOLUTION
Dimension's of :

$(a)\ K.E=[M^{1} L^{2} T^{-2}]$

Torque $=[M^{1} L^{2} T^{2}]$

$(b)$ Resistance $=[M^{-1} L^{2} T^{-3} A^{-2}]$

Inductance $=[M^{1} L^{2} T^{3} A^{-2}]$

$(c)$ Young's Modulus. $E=[M^{1} L^{-1} T^{-2}]$

Pressure; $P=\dfrac {[Force]}{Area}$

$=\dfrac {[M^1 L^1 T^{-2}]}{[L^2]}$

$=[M^1 L^1 T^{-2}]$

$=[M^1 L^{-1} T^{-2}]$

$\therefore \$ All the $3$ have same Dimensional formula.

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Single Correct Medium Published on 18th 08, 2020
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