Notifications
Clear all
0
24/12/2021 12:16 pm
Topic starter
In a standard YDSE, distance between slits is d and distance between screen and slit plane is D. The location of 1st maxima for red light is at Y1 distance from central maxima and for violet light is Y2 distance from central maxima. Find difference between wavelengths of red and violet lights.
(a) \(\frac{d}{D}(y_1 + y_2)\)
(b) \(\frac{d}{2D}(y_1 - y_2)\)
(c) \(\frac{d}{D}(Y_1 - Y_2)\)
(d) \(\frac{d}{2D}(y_1 + y_2)\)
1 Answer
0
24/12/2021 12:28 pm
Correct answer: (c) \(\frac{d}{D}(Y_1 - Y_2)\)
Explanation:
In YDSE
Y = \(\frac{m \lambda d}{D}\)
For 1st maxima m = 1
For red light Y1 = 1 x \(\frac{\lambda_{red}D}{d}\)
λred = \(\frac{Y_1 d}{D}\)
For red light Y2 = 1 x \(\frac{\lambda_{violet}D}{d}\)
λviolet = \(\frac{Y_2 d}{D}\)
λred - λviolet = \(\frac{d}{D}(Y_1 - Y_2)\)