Two students A and B from a class had a wire of lengths $10 cm$ and $5 cm$ respectively of the same material and thickness. Both of them are connected with wires, as shown in the circuit given in the figure. The current flowing in both circuits is the same. Which of the following are the correct options?

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Heat produced in both cases is not equal

Student A has more resistance wire

Student B has more resistance wire

Both 1 & 2

answer is D.

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Detailed Solution

Two students A and B from a class had a wire of lengths

10 cm

and

5 cm

respectively of the same material and thickness. Both of them are connected with wires, as shown in the circuit given in the figure. The current flowing in both circuits is the same. The correct option is that student A has more resistance wire and the heat produced in both cases is not equal Question Image

The amount of heat produced in both wires will be different because the amount of heat produced in a wire on passing electric current depends upon the length of the wire, and here length is different for both wires. Hence option 1 is true. Now the resistance also depends on the length of the wire as