{"id":333911,"date":"2023-01-06T02:49:08","date_gmt":"2023-01-05T21:19:08","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-plane-polarized-light-with-intensity-i%ce%bf-is-incident-on-a-polaroid-with-electric-field-vector-making-an-angle-of-60-with-transmission-axis-of-polaroid-the-intensity-of\/"},"modified":"2025-06-26T18:19:13","modified_gmt":"2025-06-26T12:49:13","slug":"a-plane-polarized-light-with-intensity-i%ce%bf-is-incident-on-a-polaroid-with-electric-field-vector-making-an-angle-of-60-with-transmission-axis-of-polaroid-the-intensity-of","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-plane-polarized-light-with-intensityiis-incident-on-a-p\/","title":{"rendered":"A plane polarized light with intensity\u00a0I\u03bf\u00a0is incident on a polaroid with Electric Field vector making an angle of\u00a060\u00b0\u00a0with transmission axis of polaroid. The intensity of the resulting light will be\u00a0I\u03bfn. Find the value of n."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A plane polarized light with intensity\u00a0I\u03bf\u00a0is incident on a polaroid with Electric Field vector making an angle of\u00a060\u00b0\u00a0with transmission axis of polaroid. The intensity of the resulting light will be\u00a0I\u03bfn. Find the value of n.","custom_permalink":"question\/physics\/a-plane-polarized-light-with-intensityiis-incident-on-a-p\/"},"categories":[],"acf":{"question":"

A plane polarized light with intensity I<\/mi>\u03bf<\/mi><\/msub><\/math> is incident on a polaroid with Electric Field vector making an angle of 60<\/mn>\u00b0<\/mo><\/math> with transmission axis of polaroid. The intensity of the resulting light will be I<\/mi>\u03bf<\/mi><\/msub>n<\/mi><\/mfrac><\/math>. Find the value of n.<\/p>","options":null,"solution":"

Malus law: The law states that the intensity of a beam of plane-polarized light after passing through a rotatable polarizer varies as the square of the cosine of the angle through which the polarizer is rotated from the position that gives maximum intensity.<\/span><\/p>

Using Malus law, we have <\/span>\u03b8<\/mi> <\/mo>=<\/mo> <\/mo>60<\/mn>\u00b0<\/mo><\/math><\/p>
<\/figure>

I<\/mi> <\/mo>=<\/mo> <\/mo>I<\/mi>\u03bf<\/mi><\/msub> <\/mo>cos<\/mi>2<\/mn><\/msup>\u03b8<\/mi> <\/mspace>I<\/mi> <\/mo>=<\/mo> <\/mo>I<\/mi>\u03bf<\/mi><\/msub> <\/mo>cos<\/mi>2<\/mn><\/msup>60<\/mn>\u00b0<\/mo> <\/mo>=<\/mo> <\/mo>I<\/mi>\u03bf<\/mi><\/msub><\/mrow>4<\/mn><\/mfrac> <\/mo><\/math><\/p>","subject":""},"yoast_head":"\nA plane polarized light with intensity\u00a0I\u03bf\u00a0is incident on a polaroid with Electric Field vector making an angle of\u00a060\u00b0\u00a0with transmission axis of polaroid. The intensity of the resulting light will be\u00a0I\u03bfn. Find the value of n. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A plane polarized light with intensity\u00a0I\u03bf\u00a0is incident on a polaroid with Electric Field vector making an angle of\u00a060\u00b0\u00a0with transmission axis of polaroid. The intensity of the resulting light will be\u00a0I\u03bfn. 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