EASY
11th West Bengal Board
IMPORTANT
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If we take force, length and time to be the fundamental quantities then find the dimensions of pressure 

Important Questions on Dimensions of Physical Quantities and Dimensional Analysis

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.
HARD
11th West Bengal Board
IMPORTANT
The escape velocity for a planet depends upon gravitational constant G, radius R of the planet and also its density ρ. Obtain the formula for escape velocity from dimensional velocity.
MEDIUM
11th West Bengal Board
IMPORTANT
The density of a material in C.G.S unit is 8 g/cm3. In a system of units in which the unit of length is 5 cm and the unit of mass is 20 g, what is the density of the material?
MEDIUM
11th West Bengal Board
IMPORTANT
From dimensional analysis show that the speed of sound in an elastic medium of modulus of elasticity E and density ρ is proportional to Eρ.
MEDIUM
11th West Bengal Board
IMPORTANT
The period of revolution T of a planet moving around the sun in a circular orbit depends upon the radius r of the orbit, mass M of the sun and the gravitation constant G. Prove that T2r3, from dimensional analysis.