Match List - I with List - II : List - I List - II (a) h (Planck's constant) (i) [ MLT ^ - 1 ] (b) E (kinetic energy) (ii) [ ML ^ 2 T ^ - 1 ] (c) V (electric potential) (iii) [ ML ^ 2 T ^ - 2 ] (d) P (linear momentum)

Correct answer: A. (a) → (ii), (b) → (iii), (c) → (iv), (d) → (i) By dimensional analysis. K . E . = [ ML ^ 2 T ^ - 2 ] P (linear momentum) = [ MLT ^ - 1 ] h ( planck's constant ) = [ ML ^ 2 T ^ - 1 ] V (electric potential ) = [ ML ^ 2 T ^ - 3 I ^ - 1 ]

JEE Main 202125 FebruaryMorning Shift

Exam: JEE Main
Year: 2021
Date: 25 February
Shift: Morning Shift
Subject: Physics
Chapter: Units and Dimensions

JEE Main 2021 · 25 February · Morning Shift · Physics · Units and Dimensions

Match List - I with List - II : List - I List - II (a) h (Planck's...

Match List - I with List - II :

	List - I $</td> <td> </td> <td>List - II$
\left(a\right) $</td> <td>$ h $(Planck's constant)</td> <td>\left(i\right)$	\left[{MLT}^{- 1}\right] $</td> </tr> <tr> <td>\left(b\right)$	$E$ (kinetic energy)	\left(ii\right) $</td> <td>\left[{ML}^{2}{T}^{- 1}\right]$
\left(c\right) $</td> <td>$ V $(electric potential)</td> <td>\left(iii\right)$	\left[{ML}^{2}{T}^{- 2}\right] $</td> </tr> <tr> <td>\left(d\right)$	$P$ (linear momentum)	\left(iv\right) $</td> <td>\left[{ML}^{2}{I}^{- 1}{T}^{- 3}\right]$

Choose the correct answer from the options given below:

Options

A $\left(a\right) \to \left(ii\right), \left(b\right) \to \left(iii\right), \left(c\right) \to \left(iv\right), \left(d\right) \to \left(i\right)$
B $\left(a\right) \to \left(i\right), \left(b\right) \to \left(ii\right), \left(c\right) \to \left(iv\right), \left(d\right) \to \left(iii\right)$
C $\left(a\right) \to \left(iii\right), \left(b\right) \to \left(ii\right), \left(c\right) \to \left(iv\right), \left(d\right) \to \left(i\right)$
D $\left(a\right) \to \left(iii\right), \left(b\right) \to \left(iv\right), \left(c\right) \to \left(ii\right), \left(d\right) \to \left(i\right)$

Correct answer

A. $\left(a\right) \to \left(ii\right), \left(b\right) \to \left(iii\right), \left(c\right) \to \left(iv\right), \left(d\right) \to \left(i\right)$

Step-by-step solution

By dimensional analysis.

$K . E . = \left[{ML}^{2}{T}^{- 2}\right]$
$P$ (linear momentum) $= \left[{MLT}^{- 1}\right]$
$h ($ planck's constant $) = \left[{ML}^{2}{T}^{- 1}\right]$
$V$ (electric potential $) = \left[{ML}^{2}{T}^{- 3}{I}^{- 1}\right]$

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