Unpolarized light of intensity `I_0` is made to pass through three polarizers P_1, P_2 and P_3 successively. The polarization axis of P_2 makes an angle of `theta_1` with that of P_1 , while that of P_3 makes an angle `theta_2` with that of the P_2 . What will be the intensity of light coming out of P_3 ?

Unpolarized light with intensity I_0 is incident on two polaroids. The axis of the first polaroid makes an angle of 50^@ with the vertical, and the axis of the second polaroid is horizontal. What is the intensity of the light, after it has passed through the second polaroid?

If sec 2theta=p+tan 2theta then the value of sin^2theta in terms of p is

If P_n = cos^n theta+ sin^n theta then 2P_6-3P_4 + 1 =

If sec 2 theta =p + tan 2 theta, then the value of sin^(2) theta in terms of p is

A system of three polarizers P 1 ​ ,P 2 ​ ,P 3 ​ is set up such that the pass axis of P 3 ​ is crossed with respect to that of P 1 ​ . The pass axis of P 2 ​ is inclined at 60^@ to the pass axis of P 3 ​ . When a beam of unpolarized light of intensity lo is incident on P 1 the in of light transmitted by the three polarizers I. The ratio (I0 /I) equals (nearly):

If i_p is the polarizing angle, then the refractive index (n) of the reflecting material is given by

Two circular discs of same mass and thickness are made from metals having densities p_1 and p_2 respectively. The ratio of their moments of inertia about an axis passing through their centre is,

If sec theta+tan theta =p then prove that (p^2-1)/(p^2+1)=sin theta