Q121 / 160 · AP EAMCET 2024 (18 May Shift 1) · Physics
Match the following:


- Correct answerA(A) - (i), (B) - (iii), (C) - (iv), (D) - (ii)
- B(A) - (i), (B) - (ii), (C) - (iv), (D) - (iii)
- C(A) - (iii), (B) - (ii), (C) - (i), (D) - (iv)
- D(A) - (ii), (B) - (i), (C) - (iii), (D) - (iv)
Solution
$\frac{Q}{t}=\frac{k A\left(\theta_1-\theta_2\right)}{1}$
$\Rightarrow\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]=[\mathrm{k}][\mathrm{L}][\mathrm{K}]$
$\therefore \quad[\mathrm{k}]=\left[\mathrm{M} \mathrm{L} \mathrm{T}^{-3} \mathrm{~K}^{-1}\right]$
$\mathrm{p}^{\mathrm{V}}=\mathrm{N} \mathrm{k}_{\mathrm{B}} \mathrm{T} \Rightarrow\left[\mathrm{k}_{\mathrm{B}}\right]=\frac{\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]}{[\mathrm{K}]}=\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]$
$\begin{aligned} & \mathrm{Q}=\mathrm{mL} \Rightarrow[\mathrm{L}]=\frac{\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]}{[\mathrm{M}]}=\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2}\right] \\ & \mathrm{Q}=\mathrm{ms} \Delta \theta \Rightarrow[\mathrm{S}]=\frac{\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]}{[\mathrm{M}][\mathrm{K}]}=\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]\end{aligned}$
Hence, the correct answer is option: 'A'.