Match List I with List II LIST I LIST II A Planck's constant ( h) I [ M 1 L 2 T -2 ] B Stopping potential ( Vs) II [ M 1 L 1 T -1 ] C Work function () III [ M 1 L 2 T -1 ] D Momentum ( p) IV [ M 1 L 2 T -3 A -1 ]

JEE Mains · Physics · STD 12 - Dual nature of radiation and matter

Match List \(I\) with List \(II\)

LIST \(I\) LIST \(II\)

\(A\) Planck's constant \(( h )\) \(I\) \(\left[ M ^1 L ^2 T ^{-2}\right]\)

\(B\) Stopping potential \(( Vs )\) \(II\) \(\left[ M ^1 L ^1 T ^{-1}\right]\)

\(C\) Work function \((\phi)\) \(III\) \(\left[ M ^1 L ^2 T ^{-1}\right]\)

\(D\) Momentum \(( p )\) \(IV\) \(\left[ M ^1 L ^2 T ^{-3} A ^{-1}\right]\)

Pick an option to check your answer.

Verified Solution

Correct Answer

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

Detailed explanation

(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) \(E = qV\)

\(V=\frac{E}{q}=\frac{M^1 L^2 T^{-2}}{A^1 T^1}=M^1 L^2 T^{-3} A^{-1} \text { (IV) }\)

\(= M ^1 L ^2 T ^{-2}\)

(D) Momentum (p) = F.t

\(= M ^1 L ^1 T ^{-2} T ^1\)

\(= M ^1 L ^1 T ^{-1}\)

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