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1.Units, Dimensions and Measurement
normal
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