In the following table there are two lists A and B , but the list B is not in order of list A . Write down the list B in order of list A in each table : Moment of inertia N / m 2 Surface tension kg / m - s Angular acceleration kg - m 2 Coefficient of viscosity N / m Coefficient of elasticity rad / s 2 Momentum M T - 2 Coefficient of elasticity M L 2 Surface tension M - 1 L 3 T - 2 Gravitational constant M L 2 T - 1 Moment of inertia M L T - 1 Planck's constant M L - 1 T - 2

The corrected table is given as below: Moment of inertia kg - m 2 Surface tension N / m Angular acceleration rad / s 2 Coefficient of viscosity kg / m - s Coefficient of elasticity N / m 2 Momentum M L T - 1 Coefficient of elasticity M L - 1 T - 2 Surface tension M T - 2 Gravitational constant M - 1 L 3 T - 2 Moment of inertia M L 2 Planck's constant M L 2 T - 1

HARD

11th ICSE

IMPORTANT

Earn 100

The frequency $n$ of an oscillating liquid drop may depend upon the radius $r$ of the drop, density $ρ$ and surface tension $S$ of the liquid. Obtain a formula for the frequency by the method of dimensions.

Important Questions on Dimensional Analysis

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 5 - Dimensional Analysis>NUMERICALS>Q 23

A liquid of density $ρ$ is filled in a U-tube of uniform cross-section up to a height $h$ . If the liquid in one limb of the tube is pressed slightly downward and then left, the liquid column executes vertical oscillations. Assuming that the period $T$ of oscillations may depend on $h, ρ and g,$ find a possible formula for $T$ by the method of dimensions.

EASY

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 5 - Dimensional Analysis>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 1

In the following table there are two lists $A and B,$ but the list $B$ is not in order of list $A .$ Write down the list $B$ in order of list $A$ in each table :

Moment of inertia	$N / m^{2}$
Surface tension	$kg / (m - s)$
Angular acceleration	$kg - m^{2}$
Coefficient of viscosity	$N / m$
Coefficient of elasticity	$rad / s^{2}$

Momentum	$[M T^{- 2}]$
Coefficient of elasticity	$[M L^{2}]$
Surface tension	$[M^{- 1} L^{3} T^{- 2}]$
Gravitational constant	$[M L^{2} T^{- 1}]$
Moment of inertia	$[M L T^{- 1}]$
Planck's constant	$[M L^{- 1} T^{- 2}]$

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 5 - Dimensional Analysis>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 2

Match list $1$ with list $2$ and select the correct answer using the codes given below the lists :

List

1

List

2

P	Boltzmann constant	1	$[M L^{2} T^{- 1}]$
Q	Coefficient of viscosity	2	$[M L^{- 1} T^{- 1}]$
R	Planck's constant	3	$[M L T^{- 3} K^{- 1}]$
S	Thermal conductivity	4	$[M L^{2} T^{- 2} K^{- 1}]$