Four light waves are represented byi y - a1 sin -t ii y - a2 sin -t - -iii y - a1 sin 2 -t iv y - a2 sin 2 -t - -We obtain sustained interference due to super-position of

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Standard XII

Physics

The Effect of Path Difference

Four light wa...

Question

Four light waves are represented by
(i) y = $a_{1}$ sin $ω$ t (ii) y = $a_{2}$ sin ( $ω$ t + $ε)$
(iii) y = $a_{1}$ sin 2 $ω$ t (iv) y = $a_{2}$ sin 2( $ω$ t + $ε)$
We obtain sustained interference due to super-position of

(i) and (ii)

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(i) and (iii)

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(ii) and (iv)

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(iii) and (iv)

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Solution

The correct options are
A (i) and (ii)
B (i) and (iii)
For sustained interference:
(1) Two source should be coherent i.e they should have constant phase difference between them.
(2) Both source should give light of same frequency.
(3) If interfering waves are polarised, they must be in same state of polarisation.

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Four light waves are represented by(i) y = a1 sin ωt (ii) y = a2 sin ( ωt + ε)(iii) y = a1 sin 2ωt (iv) y = a2 sin 2( ωt + ε)We obtain sustained interference due to super-position of

Four light waves are represented by
(i) y = $a_{1}$ sin $ω$ t (ii) y = $a_{2}$ sin ( $ω$ t + $ε)$
(iii) y = $a_{1}$ sin 2 $ω$ t (iv) y = $a_{2}$ sin 2( $ω$ t + $ε)$
We obtain sustained interference due to super-position of