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Q.

Given below are two statements one is labelled as Assertion A and the other is labelled as Reason R
Assertion(A) : The phase difference of two light waves change if they travel through different media having same thickness but different indices of refraction.
Reason(R) : The wavelengths of waves are different in different media. In the light of the above statements, 
choose the most appropriate answer from the options given below.

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a

Both ‘A’ and ‘R’ are true and ‘R’ is the correct explanation of ‘A’

b

Both ‘A’ and ‘R’ are true and ‘R’ is the not correct explanation of ‘A’

c

‘A’ is correct but ‘R’ is not correct

d

‘A’ is not correct but ‘R’ is correct

answer is A.

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Detailed Solution

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μ=λ0λ

When a wave changes its medium of propagation, its wavelength changes and in different medium it has different wavelength due to different refractive indices. Due to which the waves which travel same distance in different mediums will have some path difference.

Δϕ=2πλ0Δx

x=μ1-μ2t=λ0λ1-λ0λ2t

for different medium: λ1λ2 

As x is not zero, Δϕ also will be change.

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