The equation of a progressive wave for a wire is: Y=4sinπ28t−x4 If x and y are measured in cm then velocity of wave is

y=4sinπ28t−x4=4sin4πt−π8xCompare byy=Asin⁡(ωt.kx)ω=4πk=π8⇒V=ωkv = 32 cm/sec. → +ve x-direction

The equation of a progressive wave for a wire is: Y=4sinπ28t−x4 If x and y are measured in cm then velocity of wave is

y=4sinπ28t−x4=4sin4πt−π8xCompare byy=Asin⁡(ωt.kx)ω=4πk=π8⇒V=ωkv = 32 cm/sec. → +ve x-direction

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The equation of a progressive wave for a wire is:
$Y = 4 \sin [\frac{π}{2} (8 t - \frac{x}{4})]$ If x and y are measured in cm then velocity of wave is

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64 cm/s along – x direction

32 cm/s along – x direction

32 cm/s along + x direction

64 cm/s along + x direction

answer is C.

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$y = 4 \sin \frac{π}{2} (8 t - \frac{x}{4}) = 4 \sin (4 π t - \frac{π}{8} x)$
$Compare by y = Asin (ω t . k x) ω = 4 π$
$k = \frac{π}{8} \Rightarrow V = \frac{ω}{k}$
v = 32 cm/sec. → +ve x-direction

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The equation of a progressive wave for a wire is: Y=4sinπ28t−x4 If x and y are measured in cm then velocity of wave is

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The equation of a progressive wave for a wire is:
$Y = 4 \sin [\frac{π}{2} (8 t - \frac{x}{4})]$ If x and y are measured in cm then velocity of wave is