Request a call back Asked by arjunsah797 | 14 May, 2022, 01:34: PM Expert Answer Part (a) (i)

Path difference between A and D = d sinθ

Phase difference between A and D = ( 2π / λ ) ( d sinθ )
where d is distance between slits , λ is wave length of light.

----------------------------------------

Part (a) (ii)

Path length ΔS between C and E,   ΔS = 2d sinθ

In order to get constructive interference between light rays emerging from C and A

ΔS = 2d sinθ = nλ
where n is an positive integer ( n>0 )

In order to get destructive interference between light rays emerging from C and A

ΔS = 2d sinθ = (2n+1) ( λ / 2 )

-----------------------------------------------------------------

Part (a) (iii )

For constructive interference, path length ΔS between light rays emerging from successive slits

ΔS = d sinθ = nλ

For second order diffraction n = 2

hence we get , 2 λ = d sinθ

---------------------------------------------------
Part (b)

sine of angle of diffraction is given as

sinθ = n ( λ / d )

wavelength of light λ = 486 nm

distance between slits = 1/ N =  1 / ( 4.5 × 105 ) = 2.222 × 10-6

where N is number of lines per metre in the grating

sinθ = n ( λ / d ) = n ( 486 × 10-9 ) / ( 2.222 × 10-6 ) = 0.219 n

sinθ should be ≤ 1

Hence maximum value of n = 4

Maximum order of diffraction is 4
-----------------------------------------------------------

Part (c)

whilte light consists of light rays of different wavelength ranging from 400 nm to 700 nm .

Hence different wavelengths have diffraction maxima at different angles.

In the diffraction pattern, we see maxima of different wavelengths at different points .

Hence we see rainbow of colors ranging from violet to red
Answered by Thiyagarajan K | 14 May, 2022, 04:40: PM
CBSE 12-science - Physics Asked by prachis14 | 06 Mar, 2023, 04:49: PM ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by suman.sh01 | 21 May, 2022, 11:09: AM ANSWERED BY EXPERT
CBSE 12-science - Physics Asked by arjunsah797 | 14 May, 2022, 01:34: PM ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by sirib942254 | 04 Aug, 2021, 08:30: PM ANSWERED BY EXPERT
CBSE 12-science - Physics
Physics Asked by ramdasiyogesh2001 | 12 Mar, 2021, 12:47: AM ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by dsdeepak487 | 27 Feb, 2020, 06:06: PM ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Abhineet | 26 Nov, 2019, 02:04: AM ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Abhineet | 26 Nov, 2019, 02:03: AM ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by vanshrathod71 | 30 Jan, 2019, 12:38: PM ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by Topperlearning User | 13 Jun, 2014, 07:29: AM ANSWERED BY EXPERT