2. Sample Papers
  3. KVPY

KVPY Sample Paper KVPY Stream-SX Model Paper-15

  • question_answer
    A rod, of length L at room temperature and uniform area of cross section A. is made of a metal having coefficient of linear expansion a/ \[{}^\circ \text{C}.\] It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by AT K. Young's modulus, Y, for this metal is:

    A) \[\frac{\text{F}}{2\text{A}\alpha \Delta \text{T}}\]

    B) \[\frac{\text{F}}{\text{A}\alpha \,(\Delta \text{T}-273)}\]

    C) \[\frac{\text{F}}{\text{A}\alpha \Delta \text{T}}\]

    D) \[\frac{2\text{F}}{\text{A}\alpha \Delta \text{T}}\]

    Correct Answer: C

    Solution :

    Young s modulus, \[\text{y}\,\text{=}\,\frac{\text{stress}}{\text{strain}}\,=\,\frac{\text{f}/\text{A}}{(\Delta \ell /\ell )}\] Thermal strain, \[\frac{\Delta l}{l}\,=\alpha \Delta T\,=\,\frac{F}{A(\alpha \Delta T)}.\]


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