Match List $I$ with List $II$

List $I$ List $II$

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

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

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

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

Choose the correct answer from the options given below:

Q: Match List $I$ with List $II$ List $I$ List $II$ $(A)$ Young's Modulus $(Y)$ $(I)$ $\left[ M L ^{-1} T ^{-1}\right]$ $(B)$ Co-efficient of Viscosity $(\eta)$ $(II)$ $\left[ M L ^2 T ^{-1}\right]$ $(C)$ Planck's Constant $(h)$ $(III)$ $\left[ M L ^{-1} T ^{-2}\right]$ $(D)$ Work Function $(\phi)$ $(IV)$ $\left[ M L ^2 T ^{-2}\right]$ Choose the correct answer from the options given below:

b $Y =\frac{\text { Stress }}{\text { Strain }}=\frac{ F / A }{\Delta \ell / \ell}=\frac{\left[ MLT ^{-2}\right]}{\left[ L ^2\right]}=\left[ ML ^{-1} T ^{-2}\right]$ $F =6 \pi \eta rv \Rightarrow \eta=\frac{ F }{6 \pi rv }$ ${[\eta]=\frac{\left[ MLT ^{-2}\right]}{[ L ]\left[ LT ^{-1}\right]}=\left[ ML ^{-1} T ^{-1}\right]}$ $E = h v \Rightarrow h =\frac{ E }{v}=\frac{\left[ ML ^2 T ^{-2}\right]}{\left[ T ^{-1}\right]}=\left[ ML ^2 T ^{-1}\right]$ Work function has same dimension as that of energy, so $[\phi]=\left[ ML ^2 T ^{-2}\right]$

Question

Match List $I$ with List $II$

List $I$	List $II$
$(A)$ Young's Modulus $(Y)$	$(I)$ $\left[ M L ^{-1} T ^{-1}\right]$
$(B)$ Co-efficient of Viscosity $(\eta)$	$(II)$ $\left[ M L ^2 T ^{-1}\right]$
$(C)$ Planck's Constant $(h)$	$(III)$ $\left[ M L ^{-1} T ^{-2}\right]$
$(D)$ Work Function $(\phi)$	$(IV)$ $\left[ M L ^2 T ^{-2}\right]$

Choose the correct answer from the options given below:

A$(A)-(II), (B)-(III), (C)-(IV), (D)-(I)$
B$(A)-(III), (B)-(I), (C)-(II), (D)-(IV)$
C$(A)-(I), (B)-(III), (C)-(IV), (D)-(II)$
D$(A)-(I), (B)-(II), (C)-(III), (D)-(IV)$

JEE MAIN 2023, Medium

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