the path difference corresponding to a phase difference of π/2 is

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In a wave, the path difference corresponding to a phase difference of ϕ is

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Question

In a wave, the path difference corresponding to a phase difference of ϕ is

A

2λ π ​ ϕ

B

λ π ​ ϕ

C

2π λ ​ ϕ

D

π λ ​ ϕ Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is C)

For 2π phase difference → Path difference is λ

∴ For ϕ phase difference → Path difference is

2π λ ​ ϕ

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Relation between Phase Difference and Path Difference

Visit BYJU’S to understand the relation between phase difference and path difference, also learn formulas, SI units and explained along with the diagram.

PhysicsWavesRelation Between Phase Difference And Path Difference

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Relation between Phase Difference and Path Difference

The phase difference is the difference in the phase angle of the two waves. Path difference is the difference in the path traversed by the two waves. The relation between phase difference and path difference is direct. They are directly proportional to each other.

Phase Difference and Path Difference

For any two waves with the same frequency, phase difference and path difference is related as –

Δx=λ2πΔϕ Where,

Δx is the path difference between the two waves.

ΔΦ is the phase difference between two waves.

Phase Difference and Path Difference Equation

The difference in the phase angle and difference in path length relation can be written in various ways-

Formula UnitThe relation between phase difference and path difference

Δxλ=Δϕ2π No units

Phase Difference

Δϕ=2πΔxλ Radian or degree

Path Difference

Δx=λ2πΔϕ metre

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In a wave, the path difference corresponding to a phase difference of phi is

Phase difference of 2pi corresponds to path difference of lambda. So, unit phase difference corresponds to (lambda)/(2pi). Clearly, the phase difference phi corresponds to a path difference of (lambda)/(2pi)phi

Home > English > Class 12 > Physics > Chapter > Wave Optics >

In a wave, the path difference...

In a wave, the path difference corresponding to a phase difference of

ϕ ϕ is

Updated On: 27-06-2022

( 00 : 20 ) ADVERTISEMENT Text Solution Open Answer in App A (a) π 2λ ϕ π2λϕ B (b) π 2 ϕ π2ϕ C (c) λ 2π ϕ λ2πϕ D (d) λ π ϕ λπϕ Answer

The correct Answer is C

Solution Phase difference of 2π 2π

corresponds to path difference of

λ λ

. So, unit phase difference corresponds to

λ 2π λ2π

. Clearly, the phase difference

ϕ ϕ

corresponds to a path difference of

λ 2π ϕ λ2πϕ

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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