Q122 / 160 · TS EAMCET 2022 (19 Jul Shift 2) · Physics

Select the physical quantities in Column-I and Column-II having same dimensions. Figure
The correct answer is $\begin{array}{llll} \mathbf{A} & \mathbf{B} & \mathbf{C} & \mathbf{D} \end{array}$

  • A
    III IV I II
  • B
    IV I III II
  • Correct answer
    C
    II III IV I
  • D
    II IV III II

Solution

Entropy (s) $=\frac{\Delta \mathrm{Q}}{\mathrm{T}}$ So its unit is $\frac{\mathrm{J}}{\mathrm{K}}$ and, $U_{a v}=\frac{f}{2} K_B T$. So its unit is also $\frac{J}{K}$. So, $(\mathrm{A}) \rightarrow$ (II) Similarly $\begin{aligned} & {[\mathrm{Y}]=[\mathrm{U} / \mathrm{V}] \Rightarrow(\mathrm{B}) \rightarrow(\mathrm{III})} \\ & {[\mathrm{L}]=[\mathrm{h}] \Rightarrow(\mathrm{C}) \rightarrow(\mathrm{IV})} \\ & {[\lambda]=[\omega] \Rightarrow(\mathrm{D}) \rightarrow(\mathrm{I})} \end{aligned}$

Hence, the correct answer is option: 'C'.

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