In a diffraction experiment, light of 600nm wavelengthproduces a first-order maximum 0.350 mm from the central maximum ona distant screen. A second mo

Tabansi

Tabansi

Answered question

2021-03-22

In a diffraction experiment, light of 600nm wavelengthproduces a first-order maximum 0.350 mm from the central maximum ona distant screen. A second monochromatic source produces athird-order maximum 0.870 mm from the central maximum when it passes through the same diffraction grating. What is thewavelength of the light from the second source?

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-03-24Added 105 answers

In a diffraction experiment, light of (l1=600nm )wave length
produces a first-order maximum(x1=0.350mm) from the central maximum on a distantscreen.
A second monochromatic source produces
a third-order maximum (x2=0.870mm)
from the central maximum when it passes through the samediffraction grating.
Let (l2) be the wavelength of the light from the secondsource
Here n1=1 & n2=3
Since ;
nth -order maximum( x ) from the central maximum
is given as
In first case;
x1dD=n1l1
In second case
x2dD=n2l2
So;
n2l2n1l1=x2x1
or l2=(x2x1)(n1n3)l1
l2=497nm

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