NEET Sample Paper NEET Sample Test Paper-54

  • question_answer
    The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If \[{{y}_{A}}\,\,and\,\,{{y}_{B}}_{}\] are the Young's modulus of the materials, then-

    A) \[{{y}_{B}}=2{{y}_{A}}\]                  

    B) \[{{y}_{A}}={{y}_{B}}\]

    C) \[{{y}_{B}}=3{{y}_{A}}\]                  

    D) \[{{y}_{A}}=3{{y}_{B}}\]

    Correct Answer: D

    Solution :

    \[As,\,\,\frac{{{Y}_{A}}}{{{Y}_{B}}}=\frac{\tan \,{{\theta }_{A}}}{\tan \,{{\theta }_{B}}}=\,\frac{\tan \,60{}^\circ }{\tan \,30{}^\circ }\,\,=\,\,\frac{\sqrt{3}}{1/\sqrt{3}}\,\,=\,\,3\] \[\Rightarrow \,\,\,{{Y}_{A}}=3{{Y}_{B}}\]


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