Four light waves are represented by iy-a1sin- t iiy-a2sin- t- iiiy-a1sin2- t ivy-a2sin2- t-Interference fringes may be observed due to superposition of

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Byju's Answer

Standard XII

Physics

The Effect of Path Difference

Four light wa...

Question

Four light waves are represented by
$(i) y = a_{1} sin ω t$ $(i i) y = a_{2} sin (ω t + ε)$
$(i i i) y = a_{1} sin 2 ω t$ $(i v) y = a_{2} sin 2 (ω t + ε)$
Interference fringes may be observed due to superposition of

(i)

and

(i i)

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(i)

and

(i i i)

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(i i)

and

(i v)

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(i i i)

and

(i v)

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Solution

The correct options are
C $(i)$ and $(i i)$
D $(i i i)$ and $(i v)$
For superposition, frequency of waves should be same
therefore superposition of (i) with (ii) and (iii) with (iv) will happen

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Similar questions

Q. 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)

.
Interference fringes may be observed due to superposition of
(a) (i) and (ii)
(b) (i) and (iii)
(c) (ii) and (iv)
(d) (iii) and (iv)

Q. Four light waves are represented by

(i) y = a_{1} sin ω t

(i i) y = a_{2} sin (ω t + ϕ)

(i i i) y = a_{1} sin 2 ω t

(i v) y = a_{2} sin 2 (ω t + ϕ)

Interference fringes may be observed due to super position of

Q. Four waves are expressed as
(i)

y_{1} = a_{1} sin ω t

(ii)

y_{2} = a_{2} sin 2 ω t

(iii)

y_{3} = a_{3} cos ω t

(iv)

y_{4} = a_{4} sin (ω t + ϕ)

The interference is possible between

Q. 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

Four different independent waves are represented by
i) $y_{1} = a_{1} s i n ω t$
ii) $y_{2} = a_{2} s i n 2 ω t$
iii) $y_{3} = a_{3} c o s ω t$
iv) $y_{4} = a_{4} s i n (ω t + \frac{π}{3})$
With which two waves is the interference possible?

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Four light waves are represented by (i)y=a1sinωt (ii)y=a2sin(ωt+ε)(iii)y=a1sin2ωt (iv)y=a2sin2(ωt+ε)Interference fringes may be observed due to superposition of

The correct options are C (i) and (ii) D (iii) and (iv)For superposition, frequency of waves should be sametherefore superposition of (i) with (ii) and (iii) with (iv) will happen

Four light waves are represented by
$(i) y = a_{1} sin ω t$ $(i i) y = a_{2} sin (ω t + ε)$
$(i i i) y = a_{1} sin 2 ω t$ $(i v) y = a_{2} sin 2 (ω t + ε)$
Interference fringes may be observed due to superposition of

The correct options are
C $(i)$ and $(i i)$
D $(i i i)$ and $(i v)$
For superposition, frequency of waves should be same
therefore superposition of (i) with (ii) and (iii) with (iv) will happen