RAJASTHAN PMT Rajasthan - PMT Solved Paper-1997

  • question_answer
    Two rod of metal A and B are of same length has their resistance in the ratio 1:2. Which will suffer more loss in weight on inserting in water?

    A)  Loss of weight be more for A

    B)  Loss of weight will be more for B

    C)  Loss of weight will be equal for both

    D)  Ratio of weight will be 1 : 2

    Correct Answer: A

    Solution :

    \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{{{l}_{1}}}{{{l}_{2}}}\times \frac{{{A}_{2}}}{{{A}_{1}}},\,\,\,{{l}_{1}}={{l}_{2}}\] \[\therefore \]  \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{{{A}_{2}}}{{{A}_{1}}}\]                 \[\frac{1}{2}=\frac{{{A}_{2}}}{{{A}_{1}}}\] \[\therefore \]  \[\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{2}{1}\] Area of first wire is more, then it will feel more loss in weight.                           


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