A sine wave y=Asin(2πx−2πt+π3) is propagating in the Medium. LIST-I LIST-III.Speed of wave(P) +1 m/sII.Wavelength of wave(Q)1mIII.Initial displacement (x=0,t=0)(R) 32A mIV.Magnitude of max. velocity of particle(S) 2πA m/sQ. List-I gives physical quantities while list-II gives its magnitude.

y=Asin(2πx−2πt+π3)I Speed of wave V=ωk=2π2π=1 m/sII wave length k==2πλ=2π λ=1mIII At x=0,t=0;y0=Asinπ3=32AIII Vmax=Aω=2πA m/s

A sine wave y=Asin(2πx−2πt+π3) is propagating in the Medium. LIST-I LIST-III.Speed of wave(P) +1 m/sII.Wavelength of wave(Q)1mIII.Initial displacement (x=0,t=0)(R) 32A mIV.Magnitude of max. velocity of particle(S) 2πA m/sQ. List-I gives physical quantities while list-II gives its magnitude.

y=Asin(2πx−2πt+π3)I Speed of wave V=ωk=2π2π=1 m/sII wave length k==2πλ=2π λ=1mIII At x=0,t=0;y0=Asinπ3=32AIII Vmax=Aω=2πA m/s

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A sine wave $y = A \sin (2 π x - 2 π t + \frac{π}{3})$ is propagating in the Medium.
LIST-I LIST-II
I. Speed of wave (P) +1 m/s
II. Wavelength of wave (Q) 1m
III. Initial displacement (x=0,t=0) (R) $\frac{\sqrt{3}}{2} A m$
IV. Magnitude of max. velocity of particle (S) $2 π A m / s$
Q. List-I gives physical quantities while list-II gives its magnitude.

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$I \to P, II \to S, III \to R, IV \to Q$

$I \to P, II \to Q, III \to R, IV \to S$

$I \to S, II \to R, III \to Q, IV \to P$

$I \to Q, II \to P, III \to S, IV \to R$

answer is B.

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Detailed Solution

$y = Asin (2 πx - 2 πt + \frac{π}{3})$

$I Speed of wave V = \frac{ω}{k} = \frac{2 π}{2 π} = 1 m / s$

$I I wave length k = = \frac{2 π}{λ} = 2 π λ = 1 m$

$III At x = 0, t = 0; y_{0} =Asin \frac{π}{3} = \frac{\sqrt{3}}{2} A$

$III V_{\max} = A ω = 2 πA m / s$

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	LIST-I		LIST-II
I.	Speed of wave	(P)	+1 m/s
II.	Wavelength of wave	(Q)	1m
III.	Initial displacement (x=0,t=0)	(R)	$\frac{\sqrt{3}}{2} A m$
IV.	Magnitude of max. velocity of particle	(S)	$2 π A m / s$

A sine wave y=Asin(2πx−2πt+π3) is propagating in the Medium. LIST-I LIST-III.Speed of wave(P) +1 m/sII.Wavelength of wave(Q)1mIII.Initial displacement (x=0,t=0)(R) 32A mIV.Magnitude of max. velocity of particle(S) 2πA m/sQ. List-I gives physical quantities while list-II gives its magnitude.

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