Current Electricity Charging Discharging Of Capacitors Question 452

Question: An electric bulb is rated 220 volt and 100 watt. Power consumed by it when operated on 110 volt is

[CPMT 1986; MP PMT 1986, 94; AFMC 2000]

Options:

A) 50 watt

B) 75 watt

C) 90 watt

D) 25 watt

Show Answer

Answer:

Correct Answer: D

Solution:

Resistance of the bulb = $ \frac{V^{2}}{P _{Ratate}}=\frac{220\times 220}{100}=484\Omega $ When connected with 110 V, the power consumed $ P _{Consumed}=\frac{V^{2}}{R}=\frac{110\times 110}{484}=25W $