NEETPhysicsWave Optics
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When an unpolarised light beam is passed through a fixed polariser and then a continuously rotating analyser, the transmitted intensity becomes zero exactly twice during one complete 360^ rotation of the analyser. Reason (R): According to Malus's law, the transmitted intensity is proportional to th
Options
- ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
- BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
- CAssertion (A) is true but Reason (R) is false
- DAssertion (A) is false but Reason (R) is true
Correct answer
A. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
Step-by-step solution
Assertion (A) is true: As the analyser rotates through 360^ , the angle between the transmission axes of the polariser and the analyser changes from 0^ to 360^ . The transmitted intensity is zero when the axes are perpendicular (crossed polarisers), which occurs at = 90^ and = 270^ . Thus, the intensity becomes zero exactly twice in one complete rotation. Reason (R) is true: By Malus's law, the transmitted intensity is I = I₀ ^2 . The mathematical zeroes of in the interval [0^ , 360^ ) are at 90^ and 270^ , which d