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Standard XII

Physics

Wave Equation

The phase dif...

Question

The phase difference between oscillatory motion of two points separated by a distance of $\frac{λ}{2}$ is (where $λ$ is the wavelength)

\frac{π}{2}

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π

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\frac{3 π}{2}

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2 π

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Solution

The correct option is B $π$
When, $△ x = \frac{λ}{2}$
$∴ △ ϕ = \frac{2 π}{λ} \times \frac{λ}{2} = π$

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Similar questions

Q. For the travelling harmonic wave y(x, t) = 2.0 cos 2π (10t – 0.0080 x + 0.35) where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of (a) 4 m, (b) 0.5 m, (c) λ /2, (d) 3λ /4

For the travelling harmonic wave

y (x, t) = 2.0 cos 2π (10t – 0.0080x + 0.35)

Where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of

(a) 4 m,

(b) 0.5 m,

(d)

Q. The path difference between the two waves

y_{1} = a_{1} sin (ω t - \frac{2 π x}{λ})

and

y_{2} = a_{2} cos (ω t - \frac{2 π x}{λ} + ϕ) i s

Q. For the travelling in harmonic wave

y (x, t) = 2 c o s 2 π (10 t - 0.008 x + 0.35)

where

x

and

y

are in

c m

and

t

is in

s

. The phase difference between oscillatory motion of two ponts separated by a distannce of

0.5 m

S_{1}

and

S_{2}

are two coherent sources of radiations separated by a distance

100.25 λ,

where

λ

is the wavelength of radiation.

S_{1}

leads

S_{2}

in phase by

\frac{π}{2} .

A and B are two points on the line joining

S_{1}

and

S_{2}

as shown in the figure. The ratio of amplitudes of component waves from source

S_{1}

and

S_{2}

at A and B are in ratio

1 : 2.

The ratio of intensity at A to that of B

(\frac{I_{A}}{I_{B}})

is :

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The phase difference between oscillatory motion of two points separated by a distance of λ2 is (where λis the wavelength)

The correct option is B πWhen, △x=λ2∴△ϕ=2πλ×λ2=π

The phase difference between oscillatory motion of two points separated by a distance of $\frac{λ}{2}$ is (where $λ$ is the wavelength)

The correct option is B $π$
When, $△ x = \frac{λ}{2}$
$∴ △ ϕ = \frac{2 π}{λ} \times \frac{λ}{2} = π$