Choose the correct option The resistance of the filament of 60 W and 100 W operating at 220 V is R1 and R2 respectively,then (i)R1 R2 (iii)R1 = R2 (iv)R1=0, R2=0
Answers
The resistance of filament of 60W and 100W operating at 220 Volts is R₁ and R₂ respectively.
To check : which option is correct ?
(i) R₁ > R₂
(ii) R₁ = R₂
(iii) R₁ = 0 , R₂ = 0
solution : power delivered to an appliance of resistance, R is given by, P = V²/R
so, R = V²/P
so resistance of 1st filament, R₁ = V²/P₁
= (220)²/60
resistance of 2nd filament, R₂ = V²/P₂
= (220)²/100
R₁/R₂ = {(220)²/60}/{(220)²/100}
= 100/60 = 5/3
⇒R₁/R₂ = 5/3
it is clear that R₁ > R₂
Therefore the correct option is option (i).
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