(A) $1$. Planck's constant $(h)$: From $E = h\nu$, we have $h = E/\nu$. The dimensions are $[ML^2T^{-2}] / [T^{-1}] = ML^2T^{-1}$ $(III)$.$2$. Stoppin

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(A) $1$. Planck's constant $(h)$: From $E = h\nu$, we have $h = E/\nu$. The dimensions are $[ML^2T^{-2}] / [T^{-1}] = ML^2T^{-1}$ $(III)$.$2$. Stopping potential $(V_s)$: It is defined as energy per unit charge, $V_s = E/q$. The dimensions are $[ML^2T^{-2}] / [AT] = ML^2T^{-3}A^{-1}$ $(IV)$.$3$. Work function $(\Phi)$: It is the minimum energy required to remove an electron, so it has the dimensions of energy, $ML^2T^{-2}$ $(I)$.$4$. Threshold frequency $(\nu_0)$: It is the minimum frequency of incident light, so it has the dimensions of frequency, $T^{-1}$ $(II)$.Therefore, the correct matching is $A-III, B-IV, C-I, D-II$.

Class 11 Physics Units, Dimensions and Measurement Mix Examples-Units, Dimensions and Measurement

Medium

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:
$LIST$-$I$ $LIST$-$II$
$A$. Planck's constant $I$. $ML^2T^{-2}$
$B$. Stopping potential $II$. $T^{-1}$
$C$. Work function $III$. $ML^2T^{-1}$
$D$. Threshold frequency $IV$. $ML^2T^{-3}A^{-1}$

JEE MAIN 2026 All JEE MAIN

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

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Class 11

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Units, Dimensions and Measurement

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Mix Examples-Units, Dimensions and Measurement

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JEE MAIN 2026 Paper All JEE MAIN years →

Express:
$(a)$ The energy required to break one bond in $DNA$ in $eV$.
$(b)$ The kinetic energy of an air molecule $(10^{-21} \; J)$ in $eV$.
$(c)$ The daily intake of a human adult in kilocalories.

Medium

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Match the physical quantities given in List-$I$ with dimensions expressed in terms of mass $(M)$, length $(L)$, time $(T)$ and electric current $(A)$ given in List-$II$.
List-$I$ List-$II$
$(a)$ Torque $(i)$ $[M^{-1}L^{-2}T^4A^2]$
$(b)$ Gravitational constant (ii) $[M^1L^2T^{-1}]$
$(c)$ Capacitance (iii) $[M^{-1}L^3T^{-2}]$
$(d)$ Planck’s constant (iv) $[M^1L^2T^{-2}]$

DifficultKCET 2026

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The density of water is $1000 \; kg \; m^{-3}$. The density of water vapour at $100^{\circ} C$ and $1 \; atm$ pressure is $0.6 \; kg \; m^{-3}$. The volume of a molecule multiplied by the total number gives what is called molecular volume. Estimate the volume of a water molecule.

Medium

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Match the $\text{LIST-I}$ with $\text{LIST-II}$:

$\text{LIST-I}$ $\text{LIST-II}$

$A$. Boltzmann constant $I$. $ML^2 T^{-1}$

$B$. Coefficient of viscosity $II$. $MLT^{-3} K^{-1}$

$C$. Planck's constant $III$. $ML^2 T^{-2} K^{-1}$

$D$. Thermal conductivity $IV$. $ML^{-1} T^{-1}$

Choose the correct answer from the options given below:

$\text{LIST-I}$	$\text{LIST-II}$
$A$. Boltzmann constant	$I$. $ML^2 T^{-1}$
$B$. Coefficient of viscosity	$II$. $MLT^{-3} K^{-1}$
$C$. Planck's constant	$III$. $ML^2 T^{-2} K^{-1}$
$D$. Thermal conductivity	$IV$. $ML^{-1} T^{-1}$

MediumJEE MAIN 2025

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Fill in the blanks:
$(a)$ $\frac{1\,\mu m}{1\,fm} = \,....$
$(b)$ The number of significant figures in $0.0060$ is $....$
$(c)$ To study nanotechnology,the $....$ microscope has been developed.

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$LIST$-$I$	$LIST$-$II$
$A$. Planck's constant	$I$. $ML^2T^{-2}$
$B$. Stopping potential	$II$. $T^{-1}$
$C$. Work function	$III$. $ML^2T^{-1}$
$D$. Threshold frequency	$IV$. $ML^2T^{-3}A^{-1}$

List-$I$	List-$II$
$(a)$ Torque	$(i)$ $[M^{-1}L^{-2}T^4A^2]$
$(b)$ Gravitational constant	(ii) $[M^1L^2T^{-1}]$
$(c)$ Capacitance	(iii) $[M^{-1}L^3T^{-2}]$
$(d)$ Planck’s constant	(iv) $[M^1L^2T^{-2}]$

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:$LIST$-$I$$LIST$-$II$$A$. Planck's constant$I$. $ML^2T^{-2}$$B$. Stopping potential$II$. $T^{-1}$$C$. Work function$III$. $ML^2T^{-1}$$D$. Threshold frequency$IV$. $ML^2T^{-3}A^{-1}$

Similar Questions

Express:$(a)$ The energy required to break one bond in $DNA$ in $eV$.$(b)$ The kinetic energy of an air molecule $(10^{-21} \; J)$ in $eV$.$(c)$ The daily intake of a human adult in kilocalories.

The density of water is $1000 \; kg \; m^{-3}$. The density of water vapour at $100^{\circ} C$ and $1 \; atm$ pressure is $0.6 \; kg \; m^{-3}$. The volume of a molecule multiplied by the total number gives what is called molecular volume. Estimate the volume of a water molecule.

Fill in the blanks:$(a)$ $\frac{1\,\mu m}{1\,fm} = \,....$$(b)$ The number of significant figures in $0.0060$ is $....$$(c)$ To study nanotechnology,the $....$ microscope has been developed.

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Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:
$LIST$-$I$ $LIST$-$II$
$A$. Planck's constant $I$. $ML^2T^{-2}$
$B$. Stopping potential $II$. $T^{-1}$
$C$. Work function $III$. $ML^2T^{-1}$
$D$. Threshold frequency $IV$. $ML^2T^{-3}A^{-1}$

Express:
$(a)$ The energy required to break one bond in $DNA$ in $eV$.
$(b)$ The kinetic energy of an air molecule $(10^{-21} \; J)$ in $eV$.
$(c)$ The daily intake of a human adult in kilocalories.

Fill in the blanks:
$(a)$ $\frac{1\,\mu m}{1\,fm} = \,....$
$(b)$ The number of significant figures in $0.0060$ is $....$
$(c)$ To study nanotechnology,the $....$ microscope has been developed.