JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors Question Bank Heating Effect of Current

  • question_answer If \[{{R}_{1}}\] and \[{{R}_{2}}\] are respectively the filament resistances of a 200 watt bulb and 100 watt bulb designed to operate on the same voltage, then [NCERT 1980; CPMT 1991, 97]

    A)            \[{{R}_{1}}\] is two times \[{{R}_{2}}\]                         

    B)            \[{{R}_{2}}\] is two times \[{{R}_{1}}\]

    C)            \[{{R}_{2}}\] is four times \[{{R}_{1}}\]                         

    D)            \[{{R}_{1}}\] is four times \[{{R}_{2}}\]

    Correct Answer: B

    Solution :

               \[P\propto \frac{1}{R}\Rightarrow \frac{{{P}_{1}}}{{{P}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\] \[\Rightarrow \frac{200}{100}=\frac{{{R}_{2}}}{{{R}_{1}}}\Rightarrow {{R}_{2}}=2{{R}_{1}}\]


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