SATHEE: Physical World Units and Measurements

Physical World Units and Measurements - Result Question 19

19. The ratio of the dimension of Planck’s constant and that of the moment of inertia is the dimension of

[2005]

(a) time

(b) frequency

(d) velocity

Show Answer

Answer:

Correct Answer: 19. (b)

Solution:

(b) Dimension formula for the planck’s constant, $h = [M L^{2} T^{1}]$

Dimension formula for the moment of inertia, $I = [M L^{2}]$

So, the ratio between the plank’s constant and moment of inertia is

$\Rightarrow \frac{h}{I} = \frac{[M L^{2} T^{- 1}]}{[M L^{2}]} \Rightarrow [T^{- 1}]$

$\Rightarrow \frac{h}{I} = [T^{- 1}] \Rightarrow$ dimension of frequency

(b) $F = \frac{G M_{1} m_{2}}{r^{2}} \Rightarrow G = \frac{F r^{2}}{M_{1} m_{2}}$

$∴$ dimension of $G$ is $\frac{[M L T^{- 2}] [L^{2}]}{[M] [M]}$

$= [M^{- 1} L^{3} T^{- 2}]$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Physical World Units and Measurements - Result Question 19

19. The ratio of the dimension of Planck’s constant and that of the moment of inertia is the dimension of

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu