PHYSICS QUIZ-02, Wave Optics

WAVE OPTICS

Objective Type Questions (One option is correct)

01. Two coherent monochromatic light beams of intensites I and 4I are superimposed. The maximum and minimum possible intensities in the resulting beam are:

1) 5I and I          
2) 5I and 3I       

3) 9I and I   
4) 9I and 3I

Sol. Answer (3)

I_max=(√I+√4I)^2=25I

I_min=(√I-√4I)^2=9I

02. Two identical light waves, propagating in the same direction, have a phase difference δ. After they superpose, the intensity of the resulting wave will be proportional to:

1) cos⁡(δ)              
2) cos⁡(δ/2)   

3) cos^2⁡(δ/2)      
4) cos^2⁡(δ)

Sol. Answer (3)

I_r=4I_(0.)  cos^2⁡(δ/2)

03. For destructive interference to take place between two monochromatic light waves of wavelength λ, the path difference should be:

1) (2n-1)λ/4   
2) 2nλ      
3) (2n+1)λ/4          
4) nλ

Sol. Answer (3)

For destructive interference,

∆ϕ=(2n+1)π

∆x=(2n+1)λ/2

04. Wavefront of a wave is _______to wave motion.

1) Parallel            
2) Perpendicular 

3) Opposite          
4) At an angle

Sol. Answer (2)

05. If the amplitude ratio of two sources producing interference is 3 : 5, the ratio of intensities of maxima and minima is:

1) 25 : 16            
2) 5 : 3       

3) 16 : 1              
4) 25 : 9

Sol. Answer (3)

A_1/A_2 =3/5  and  A_max/A_min =(5+3)/(5-3)

I_max/I_min  α(A_max/A_min )^2=16/1

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