Question

A coil of wire of resistance $50\Omega$ is embedded in a block of ice. If a potential difference of 210 v is applied across the coli, the amount of ice melted per second will be

• A. 4.12 gm
• B. 4.12 kg
• C. 3.68 kg
• D. 2.625 gm

Answer 1

The correct option is D 2.625 gm

$\text{Enthalpy of fusion" is the energy it takes to change from a solid to a liquid state}$

melt ice at 0 C to water at 0 C for water is 333.55 J/g per second

$\text{Heat provided by resistor}=\frac{V^2}{R}=\frac{{210}^2}{50}$

$\text{Ice melted per second}=\frac{{210}^2}{50}\frac{1}{333.55}=2.6\text{gram}$