Wave is represented by y- 10-4sin 100t - x10 m- then the velocity of wave will be

Comparing the given equation with general equation, y= a sin 2π ( tT xλ ), we get T = 2 π100 and λ =20 π ∴ V = v λ = 1002 π× 20 π = 1000 m/s Hence the correct ...

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Standard IX

Physics

Speed of Sound

wave is repre...

Question

wave is represented by $y = 10^{- 4} sin (100 t - \frac{x}{10}) m$ , then the velocity of wave will be

100 m/s

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4 m/s

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1000 m/s

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10 m/s

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Solution

The correct option is C $1000 m/s$
comparing the given equation with general equation, $y = a sin 2 π (\frac{t}{T} - \frac{x}{λ})$ , we get
$T = \frac{2 π}{100}$ and $λ = 20 π$
$∴ V = v λ = \frac{100}{2 π} \times 20 π = 1000 m/s$
Hence the correct answer is option (c).

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wave is represented by y=10−4sin(100t−x10) m, then the velocity of wave will be

The correct option is C 1000 m/scomparing the given equation with general equation, y=asin2π(tT−xλ), we get T=2π100 and λ=20π ∴V=vλ=1002π×20π=1000 m/s Hence the correct answer is option (c).

wave is represented by $y = 10^{- 4} sin (100 t - \frac{x}{10}) m$ , then the velocity of wave will be

The correct option is C $1000 m/s$
comparing the given equation with general equation, $y = a sin 2 π (\frac{t}{T} - \frac{x}{λ})$ , we get
$T = \frac{2 π}{100}$ and $λ = 20 π$
$∴ V = v λ = \frac{100}{2 π} \times 20 π = 1000 m/s$
Hence the correct answer is option (c).