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Q. Choose the correct answer from the options given below:
LIST I LIST II
A Planck's constant (h) 1 $\left[ M ^1 L ^2 T ^{-2}\right]$
B Stopping potential (Vs) 2 $\left[ M ^1 L ^1 T ^{-1}\right]$
C Work function $(ø) $ 3 $\left[ M ^1 L ^2 T ^{-1}\right]$
D Momentum (p) 4 $\left[ M ^1 L ^2 T ^{-3} A ^{-1}\right]$

JEE MainJEE Main 2023Physical World, Units and Measurements

Solution:

(A) Planck's constant
$ h v= E $
$ h =\frac{ E }{v}=\frac{ M ^1 L ^2 T ^{-2}}{ T ^{-1}}= M ^1 L ^2 T ^{-1}$
(B) $E = qV$
$V=\frac{E}{q}=\frac{M^1 L^2 T^{-2}}{A^1 T^1}=M^1 L^2 T^{-3} A^{-1} \text { (IV) }$
(C) $\phi$ (work function $)=$ energy
$= M ^1 L ^2 T ^{-2}$...(I)
(D) Momentum (p) = F.t
$=M^1 L^1 T^{-2} T^1$...(II)
$=M^1 L^1 T^{-1}$