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 ( V _ s ) II . [ M ^ 1 L ^ 1 T ^ - 1 ] C . Work function (ϕ) III . [ M ^ 1 L ^ 2 T ^ - 1 ] D .

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Correct answer: B. A - III, B - IV, C - I, D - II

The dimension of momentum is, p = [ M ^ 1 L ^ 1 T ^ - 1 ] From de Broglie equation, (h)/(p) = λ [ h ] = [ p ] [λ] = [M L ^ 2 T ^ - 1 ] The stopping potential is related to maximum kinetic energy of emitted electron as V _ s = K E _ e = [ ML ^ 2 T ^ - 2 ] [AT] = [ ML ^ 2 T ^ - 3 A ^ - 1 ] From Einstein's photoelectric equation, the work function ϕ has dimensions of energy [ϕ] = [ ML ^ 2 T ^ - 2 ]

List I		List II
$A .</td> <td>Planck's constant \left(h\right)</td> <td>$ I .	\left[{M}^{1}{L}^{2}{T}^{- 2}\right] $</td> </tr> <tr> <td>$ B .	Stopping potential \left({V}_{s}\right)	$II .</td> <td>\left[{M}^{1}{L}^{1}{T}^{- 1}\right]$
$C .</td> <td>Work function \left(ϕ\right)</td> <td>$ III .	\left[{M}^{1}{L}^{2}{T}^{- 1}\right] $</td> </tr> <tr> <td>$ D .	Momentum \left(p\right)	$IV .</td> <td>\left[{M}^{1}{L}^{2}{T}^{- 3}{A}^{- 1}\right]$

Match List I with List II List I List II A . Planck's constant (h)...

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