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Match List $I$ with List $II$

List $I$ List $II$

$A.$ Young's Modulus $\left ( Y \right )$ $I$ . $\left [ ML^{-1} T^{-1} \right ]$

$B.$ Co - efficient of Viscosity $\left ( \eta \right )$ $II$ . $\left [ ML^{2}T^{-1} \right ]$

$C.$ Planck's Constant $\left ( h \right )$ $III$ . $\left [ ML^{-1}T^{-2} \right ]$

$D.$ Work Function $\left ( \phi \right )$ $IV$ . $\left [ ML^{2}T^{-2} \right ]$

Choose the correct answer from the options given below: options
Option: 1
$A-I, B-II, C-III, D-IV$

Option: 2
$A-II, B-III, C-IV, D-I$

Option: 3
$A-I, B-III, C-IV, D-II$

Option: 4
$A-III, B-I, C-II, D-IV$

Answers (1)

best_answer

$\begin{aligned} & {[\mathrm{Y}]=\frac{F}{A} \cdot \frac{\Delta L}{L}=\frac{M L T^{-2}}{L^2}=\mathrm{ML}^{-1} \mathrm{~T}^{-2}} \\ & \mathrm{~F}=6 \pi \eta \mathrm{r} v \\ & {[\eta]=\frac{\mathrm{F}}{6 \pi \mathrm{rr}}=\frac{\mathrm{MLT}^{-2}}{\mathrm{~L} \mathrm{LT}^{-1}}} \\ & {[\eta]=\mathrm{ML}^{-1} \mathrm{~T}^{-1}} \\ & {[\mathrm{~h}]=\frac{\mathrm{E}}{\mathrm{f}}=\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{~T}^{-1}}=\mathrm{ML}^2 \mathrm{~T}^{-1}} \end{aligned}$
Work function $\left ( \phi \right )= ML^{2}T^{-2}$

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