Physics Current Electricity JEE (Advanced) / IIT-JEE Problems (Previous Years) MCQ (Single Correct)

Heater of electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5 kg water by 40K. This heater is replaced by a new heater having two wires of the same material, each of length L and diameter 2d. The way these wires are connected is given in the options. How much time in minutes will it take to raise the temperature of the same amount of water by 40K?

A
4 if wires are in parallel
B
2 if wires are in series
C
1 if wires are in series
D
0.5 if wires are in parallel.

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The correct answer is:
CHECK THE SOLUTION.

(b, d)

In given Kettle R = = , P =

In second Kettle R 1 = , R 2 =

So R 1 = R 2 =

If wires are in parallel equivalent resistance R P =

then power P P = 8P

so it will take 0.5 minute

If wires are in series equivalent resistance

R S =

then power P S = 2P

so it will take 2 minutes

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