Units and dimensions

Which of the following is the unit of latent heat:

• J

• J mol^-1

• J Kg^-1

• J Kg^-1 mol^-1

Unit of angular acceleration is SI system:

• N kg^-1

• m sec^-2

• rad sec^-2

• km kg^-1

erg m^-1 can be the unit of the measure of

• force

• momentum

• power

• acceleration

The unit of force and length are doubled, the unit of energy will be :

• 1/4 times

• 1/2 times

• 2 times

• 4 times

Length cannot be measured by

• fermi

• debye

• micron

• light year

Given that v is the speed, r is radius and g is acceleration due to gravity . Which of the following is dimensionless?

• v² r / g

• v² / r g

• v² g / r

• v² g r

The dimensional formula for strain is same as that for :

• stress

• modulus of elasticity

• thrust

• angle of twist

If force (F), acceleration (a) and time (T) are used as the fundamental units, the dimensional formula for length will be:

• F⁰ a T²

• F a⁰ T²

• F a² T⁰

• F a T

Angular momentum has the same dimensions as :

• Planck's constant

• Universal gravitational constant

• Rydberg constant

• Boltzmann constant

If P is the pressure , ρ is the density and E is the energy of a bubble , the quantity P^-5/6 ρ^1/2 E^1/3 has got the dimensions of :

• length

• mass

• time

• velocity