Two polaroids ar oriented with their planes of trnasmission making an angle of `30^@` with that of precceeding sheet.What fraction of incident unpolarised light is transmitted?

Two polaroids P_1 and P_2 are placed with their pass axes perpendicular to each other.An unpolarised ligth of intensity I_0 is incident on P_1 .A third polaroid P_3 is kept in between P_1 and P_2 such that its pass axis makes an angle of 30^@ with that of P_1 .Determine the intensity of light tranjsmitted throug P_1,P_2 and P_3 .

Two polaroids P_1 and P_2 are placed with their pass axees perpendiculat to each otehr.An unpolarised ligth of intensity I_0 is incident on P_1 .A third polaroid P_3 is kept in between P_1 and P_2 such that its pass axis makes an angle of 45^@ with tha tof P_1 .Dtermine the intensity of light transmitted through P_1,P_2 and P_3 .

Two polaroids P_1 adn P_2 are placed with their pass xes perpendicular to each other.An unpolarised ligth of intensity I_0 is incident on P_1 .a thid polaroid P_3 is kept in betwen P_1 and P_2 such that its axis makes an angle of 60^@ with that of P_1 .determine the intensity of light transited through P_1,P_2 and P_3 .

Two polaroids are set in corossed positions.A third polaroid is placed between the two making an angle theta with the pass axis of the first polaroid.Write the expession for the intensity of light trnasmitted from the second polaroid .In what orientations will the transmitted intenesity be minimum adn

Two polaroids are set in corossed positions.A third polaroid is placed between the two making an angle theta with the pass axis of the first polaroid.Write the expession for the intensity of light trnasmitted from the second polaroid .In what orientations will the transmitted intenesity be maximum.

Two polaroids are aligned,so that the intentsity of light emerging out of them is maximum.Through what angle one of them should be rotated ,so that the intensity of light emerging out of them is reduced to half.

Let AB be a vector in two dimensional plane with the magnitude 4 units and making an angle of 30^(@) with X-axis and lying in the first quadrant. Find the components of AB along the two axes off coordinates. Hence, represent AB in terms of unit vectors hati and hatj .

A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30^@ with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil?

Two polaroids A and B are kept in crossed poisiton.How should a third polariod C be placed between them so that the intensity of polarised ligth transmitted by polaroid B reduces to 1//8th of the intensity of unpolarised light incident on A?