76. Bulb 'P' marked as 100 W, 220 V and bulb Q
marked as 60 W, 110 V. The resistance ratio of
P and Q is
(1) 12:7
(2) 5:7
(3) 5:12
(4) 12:5
Answers
answer : option (4) 12 : 5
resistance of Bulb P : given, power = 100W and voltage = 220V
Resistance of bulb P = (voltage)²/power
= (220V)²/100W
= 484 Ω
resistance of Bulb Q : given, power = 60W and voltage = 110V
so, resistance of bulb Q = (voltage)/²/power
= (110)²/60
= 605/3 Ω
now ratio of resistance of bulb P : resistance of bulb Q = 484 : 605/3
= 484 × 3 : 605
= 121 × 4 × 3 : 121 × 5
= 12 : 5
hence, option (4) is correct choice.
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4) 12:5