QJEEM24Ph2378: JEE Main 2024 Physics - Class 12 JEEM24Ph2378 Solution: A heater is designed to operate with a power of 1000   W…

A heater is designed to operate with a power of $$1000\mathrm{W}$$ in a $$100\mathrm{V}$$ line. It is connected in combination with a resistance of $$10\mathrm{\Omega }$$ and a resistance $$R$$, to a $$100\mathrm{V}$$ mains as shown in figure. For the heater to operate at $$62.5\mathrm{W}$$, the value of $$\mathrm{R}$$ should be _______ $$\mathrm{\Omega }$$.