Units for constants in Column-$I$ and $SI$ unit is given in Column-$II$. Match the followings:
Column-$I$ Column-$II$
$(a)$ Wien's constant $(i)$ $W m^{-2} K^{-4}$
$(b)$ Stefan-Boltzmann's constant $(ii)$ $W m^{-1} K^{4}$
$(iii)$ $m K$

  • A
    $(a-i), (b-ii)$
  • B
    $(a-i), (b-iii)$
  • C
    $(a-ii), (b-i)$
  • D
    $(a-iii), (b-i)$

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To determine the Young's modulus of a wire,the formula is $Y = \frac{FL}{A\Delta L}$,where $L$ is the length,$A$ is the area of cross-section of the wire,and $\Delta L$ is the change in length of the wire when stretched with a force $F$. The conversion factor to change the unit of Young's modulus from $CGS$ to $MKS$ system is $x \times 10^{-1} \ N/m^2$. Find the value of $x$.

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