Q 1 :    

Interference pattern can be observed due to superposition of the following waves:

A.   y=asinωt

B.   y=asin2ωt

C.   y=asin(ωt-ϕ)

D.   y=asin3ωt

Choose the correct answer from the options given below:                           [2024]

  • B and C

     

  • B and D

     

  • A and C

     

  • A and B

     

(3)

For obtaining interference pattern, the two superimposing waves should be of same frequency. It is clear from the given options that waves in option A and C have same frequency, so they will superimpose and give interference pattern.



Q 2 :    

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio Imax-IminImax+Imin will be              [2016]
 

  • nn+1

     

  • 2nn+1

     

  • n(n+1)2

     

  • 2n(n+1)2

     

(2)

Here, I1I2=n

ImaxImin=(I1+I2I1-I2)2=(I1/I2+1I1/I2-1)2=(n+1n-1)2

Imax-IminImax+Imin=ImaxImin-1ImaxImin+1

=(n+1n-1)2-1(n+1n-1)2+1=(n+1)2-(n-1)2(n+1)2+(n-1)2=4n2(n+1)=2nn+1