Units and Measu...

Dimension of specific heat is:

The dimensional formula for latent heat is :

Dimensional formula of magnetic field of induction (B) is:

Given Force on a charged particle is given by: $$F = qvBsin \theta$$ where $$\theta$$ is angle between velocity and magnetic field.

Match the following

If $$L$$ is the inductance, $$'i'$$ is current in the circuit, $$\dfrac { 1 }{ 2 } { Li }^{ 2 }$$ has the dimensions of:

The units of force, velocity and energy are 100 dyne, 10 $${cm s }^{ -1 }$$ and 500 erg respectively. The units of mass, length and time are:

The unit of an electrical parameter whose formula is $$[M^{1}L^{2}T^{-3}A^{-2}]$$ is:

If $$e, { \epsilon}_{0}, h$$ and $$c$$ respectively represents electric charge, permittivity of free space, Planck's constant and speed of light. The dimension of $$\dfrac{e^2 }{ 4\pi \epsilon_0 hc} $$ is :

The product of energy and time is called action. The dimensional formula for action is same as that for

A highly rigid cubical block $$A$$ of small mass $$M$$ and side $$L$$ is fixed rigidly on to another cubical block of same dimensions and of low modulus of rigidity $$\eta$$ such that the lower face of $$A$$ completely covers the upper face $$B$$. The lower face of $$B$$ is rigidly held on a horizontal surface. A small force $$F$$ is applied perpendicular to one of the side face of $$A$$. After the force is withdrawn, block $$A$$ executes small oscillations, the time period of which is given by :