In Young's double slit experiment, the slits are 2 mm apart and are… | NEET 2013

Q68NEET 2013Medium

YDSE: Film, Medium & Two Wavelengths

In Young's double slit experiment, the slits are 2 mm apart and are illuminated by photons of two $\circ \quad \circ$

wavelengths $\lambda_1$ = 12000 $\text{\AA}$ and $\lambda_2$ = 10000 $\text{\AA}$ . At what minimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?

Show answer and solution

Answer: (d)

Coincidence: $n_1\lambda_1 = n_2\lambda_2 \Rightarrow n_1 \times 12000 = n_2 \times 10000$ , smallest $n_1 = 5,\ n_2 = 6$ .
$y = \dfrac{n_1\lambda_1 D}{d} = \dfrac{5 \times 1.2\times10^{-6} \times 2}{2\times10^{-3}} = 6\times10^{-3}\text{ m}$
So the answer is (d) 6 mm.

Report a mistake

More questions on YDSE: Film, Medium & Two Wavelengths

The source that illuminates the double-slit in 'double-slit interference experiment'…JEE Main 2013 (25 Apr, Shift 1)
A mixture of light, consisting of wavelength 590 nm and an unknown wavelength…JEE Main 2009 (AIEEE)
The maximum number of possible interference maxima for slit-separation equal to twice the…JEE Main 2004 (AIEEE)
Interference was observed in interference chamber where air was present, now the chamber…NEET 1993 (AIPMT)
In Young's double slit experiment, the fringe width is found to be 0.4 mm. If the whole…NEET 1990 (AIPMT)
The thickness of a plate (refractive index μ) which will produce a change in optical path…MHT CET 2026 (14 May, Shift 1)
If Young's double slit experiment is performed in waterMHT CET 2026 (14 May, Shift 2)
A double slit experiment is immersed in water of refractive index 1.33. The slit…MHT CET 2026 (12 May, Shift 2)

YDSE: Film, Medium & Two Wavelengths question from NEET 2013

More questions on YDSE: Film, Medium & Two Wavelengths