Current Electricity Charging Discharging Of Capacitors Question 732

Question: Water boils in the electric kettle in 15 minutes after switching on. If the length of heating wire is decreased to 2/3 of its initial value, then the same amount of water will boil with the same supply voltage in

Options:

A) 8 minutes

B) 10 minutes

C) 12 minutes

D) 15 minutes

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ H=\frac{V^{2}}{R}\times 15\times 60=\frac{V^{2}}{( 2/3 )/R}\times t $

$ \text{or }t=\frac{2}{3}\times 15\times 60=600s=10\text{ minutes}\text{.} $