Consider four light waves given by the expressions:
(i) $y = a_1 \sin \omega t$
(ii) $y = a_2 \sin(\omega t + \varepsilon)$
(iii) $y = a_1 \sin 2\omega t$
(iv) $y = a_2 \sin 2(\omega t + \varepsilon)$
Interference fringes can be produced by the superposition of

Question

Consider four light waves given by the expressions: (i) y = a_1 ω t (ii) y = a_2 (ω t + ) (iii) y = a_1 2ω t (iv) y = a_2 2(ω t + ) Interference fringes can be produced by the superposition of

Quantrex Academy · Accepted Answer

Correct answer: C. (iii) and (iv)

For sustained interference fringes to be produced, the superposing light waves must be coherent.

Coherent waves must have the same frequency and a constant phase difference with respect to time.

The angular frequency of wave (i) is

\omega

.

The angular frequency of wave (ii) is

\omega

.

The angular frequency of wave (iii) is

2\omega

.

The angular frequency of wave (iv) is

2\omega

.

Waves (i) and (ii) have the same frequency

\omega

and a constant phase difference

\varepsilon

.

Waves (iii) and (iv) have the same frequency

2\omega

and a constant phase difference

2\varepsilon

.

Therefore, interference fringes can be produced by the superposition of (i) and (ii), as well as (iii) and (iv).

Consider four light waves given by the expressions: (i) y = a_1 ω t...

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