JEE Main 2021PhysicsCurrent ElectricityElectric Power And Heating Effect Of CurrenteasyNumerical

JEE Main 2021Current Electricity Question with Solution

From: JEE Main 2021 (Online) 1st September Evening Shift

Question

A uniform heating wire of resistance 36 is connected across a potential difference of 240 V. The wire is then cut into half and potential difference of 240V is applied across each half separately. The ratio of power dissipation in first case to the total power dissipation in the second case would be 1 : x, where x is ____________

Enter your answer

Show full solutionCorrect answer: 4
Correct answer
4

Step-by-step explanation

For Case I,

The potential difference of the uniform wire, V = 240 V

The resistance of the uniform wire, R1 = 36

The power dissipation in the first case,



For Case II,

The resistance of each half,



Thus, the ratio of the total power dissipation in the first case to the second case



Comparing with,

The value of the x = 4.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Current Electricity chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2021, covering the Current Electricity chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.