The dimensionally correct expression for the resistance R among the following is [P = electric power, I = electric current, t = time, V = voltage and E = electric energy]
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a
R=PI
b
R=EI2t
c
R=VρP
d
R=VI
answer is B.
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Detailed Solution
Dimensional formula of power =Wt=ML2T−2T=ML2T−3 Current →[A] V=Wq=ML2T−2AT=ML2T−3A−1 E=Ml2T−2 So,R=EI2t=ML2T−2A2T⇒ML2T−3A−2 and V=IR⇒R=ML2T−3A−2A⇒ML2T−3A−2