JEE Main & Advanced Physics Elasticity Question Bank Youngs Modulus and Breaking Stress

  • question_answer
    When a weight of 10 kg is suspended from a copper wire of length 3 metres and diameter 0.4 mm, its length increases by 2.4 cm. If the diameter of the wire is doubled, then the extension in its length will be                                        [MP PMT 1994]

    A) 9.6 cm

    B)                             4.8 cm

    C)                 1.2 cm   

    D)                 0.6 cm

    Correct Answer: D

    Solution :

        \[l\propto \frac{1}{{{r}^{2}}}\] (F,L and Y are constant)             \[\frac{{{l}_{2}}}{{{l}_{1}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}={{\left( \frac{1}{2} \right)}^{2}}\Rightarrow {{l}_{2}}=\frac{{{l}_{1}}}{4}=\frac{2.4}{4}\]\[\Rightarrow {{l}_{2}}=0.6\ cm\]


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