JEE Main 2024 Physics question

PhysicsCurrent ElectricityJEE Main 2024

Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be ………….. to …………. times of its initial length if the water is to be boiled in 15 minutes.

Answer: (C)

Solution

Heat = V²t/R is fixed, so t ∝ R ∝ L. For 15 min instead of 20 min, L′ = (15/20)L = (3/4)L: decreased to 3/4.

Question ID VK-012399