Home Physics Current Electricity All Topic Question for Revision Test You are given resistance wire of length 50 c…
Physics Current Electricity All Topic Question for Revision Test MCQ (Single Correct)

You are given resistance wire of length 50 cm and a battery of negligible resistance. In which of the following cases is largest amount of heat generated?

A
When the wire is connected to the battery directly.
B
When the wire is divided into two parts and both the parts are connected to the battery in parallel.
C
When the wire is divided into four parts and all the four parts are connected to the battery in parallel.
D
When only half of the wire is connected to the battery.

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Text Solution

Verified by Experts
The correct answer is:
C

Let R be the resistance of the wire, then
(i) The heat generated is .
(ii) Resistance of each part will be R/2. When they are connected in parallel, the resistance will be R/4.
Hence, .
(iii) In case of four wires connected in parallel, the resistance will be R/8.

(iv)

Hence, largest amount of heat will be generated in case of four parts connected in parallel.

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