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1.Units, Dimensions and Measurement
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અમુક વિસ્તારમાં વિદ્યુત ક્ષેત્ર $\overrightarrow{ E }=\left(\frac{ A }{x^2} \hat{i}+\frac{ B }{y^3} \hat{j}\right)$ મુજબ આપી શકાય છે. $A$ અને $B$ ના $SI$ એકમ $..........$ થશે.
A
$Nm ^3\,C ^{-1} ; Nm ^2 \,C ^{-1}$
B
$Nm ^2\, C ^{-1} ; Nm ^3 \,C ^{-1}$
C
$Nm ^3 \,C ; Nm ^2 \,C$
D
$Nm ^2 \,C ; Nm ^3\, C$
(JEE MAIN-2023)
Solution
$\overrightarrow{ E }=\frac{ A }{ x ^2} \hat{ i }+\frac{ B }{ y ^3} \hat{ j }$
${\left[\frac{ A }{ x ^2}\right]= NC ^{-1} \Rightarrow[ A ]= Nm ^2 C ^{-1}}$
${\left[\frac{ B }{ y ^3}\right]= NC ^{-1} \Rightarrow[ B ]= Nm ^3 C ^{-1}}$
Standard 11
Physics
