EASY
11th West Bengal Board
IMPORTANT
Earn 100

Find the dimensions of electric dipole moment p, The relevant equations are : 

F=qE, F=qvB, B=μ0I2πr, p=q·r, M=IA,F=q1q24πε0r2 

Where the other symbols F, q, v, I, r, A  respectively represent force, charge, velocity, current, distance and area.

Important Questions on Dimensions of Physical Quantities and Dimensional Analysis

EASY
11th West Bengal Board
IMPORTANT

Find the dimensions of, magnetic dipole moment M, The relevant equations are :

F=qE, F=qvB, B=μ0I2πr, p=q·r, M=IA and 

F=q1q24π0r2 

Where the other symbols F, q, v, I, r, A respectively represent force, charge, velocity, current, distance and area.

EASY
11th West Bengal Board
IMPORTANT
Find the dimensions of Planck's constant h from the equation E=hv, where E is energy and v is frequency.
EASY
11th West Bengal Board
IMPORTANT
If we take force, length and time to be the fundamental quantities then find the dimensions of density
EASY
11th West Bengal Board
IMPORTANT
If we take force, length and time to be the fundamental quantities then find the dimensions of pressure 
EASY
11th West Bengal Board
IMPORTANT
If we take force, length and time to be the fundamental quantities then find the dimensions of momentum.
EASY
11th West Bengal Board
IMPORTANT
If we take force, length and time to be the fundamental quantities, then find the dimensions of energy.
MEDIUM
11th West Bengal Board
IMPORTANT

The height h of mercury column in a barometer is found to be 76 cm. Calculate the atmospheric pressure in SI and CGS units.

Given: Specific gravity of mercury =13.6, density of water =1g/cc and g=9.8 m/s2. Formula for pressure is p=hpg.

HARD
11th West Bengal Board
IMPORTANT
Dimensions of potential difference V and resistance R are respectively ML2 T-3A-1 and ML2 T-3 A-2. By dimensional analysis obtain Ohm's law. Mention the assumption you make.