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1.Units, Dimensions and Measurement
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વિદ્યુતીય અવરોધનું પરિમાણ શું છે ?

A

$[ML^{2}T^{-3}A^{-1}]$

B

$[ML^{2}T^{-3}A^{-2}]$

C

$[ML^{3}T^{-3}A^{-2}]$

D

$[ML^{-1} L^{3} T^{3} A^{2}]$

Solution

Since according to Ohm's Law:

$V = IR$

Hence, $R=\frac{V}{I}$

Where $V =\frac{ W }{ q }=\frac{\text { work done }}{\text { charge }}$

Hence; Potential $=\frac{\left[ M ^1 L ^2 T ^{-2}\right]}{[ AT ]}$

$\therefore[ V ]=\left[ M ^1 L ^2 T ^{-3} A ^{-1}\right]$

From above equations,

$\therefore \text { Resistance }=[ R ]=\frac{\left[ M ^1 L ^2 T ^{-3} A ^{-1}\right]}{[ A ]}$

$=\left[ M ^1 L ^2 T ^{-3} A ^{-2}\right]$

Standard 11
Physics

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