JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • question_answer
    A force of \[{{10}^{3}}\] newton, stretches the length of a hanging wire by 1 millimetre. The force required to stretch a wire of same material and length but having four times the diameter by 1 millimetre is

    A) \[4\times {{10}^{3}}N\]

    B) \[16\times {{10}^{3}}N\]

    C) \[\frac{1}{4}\times {{10}^{3}}N\]

    D) \[\frac{1}{16}\times {{10}^{3}}N\]

    Correct Answer: B

    Solution :

    [b] \[F=Y\times A\times \frac{l}{L}\Rightarrow F\propto {{r}^{2}}\](Y, l and L are  constant) If diameter is made four times then force required will be 16 times, i.e., \[16\times {{10}^{3}}N\]


You need to login to perform this action.
You will be redirected in 3 sec spinner