A transverse wave is represented by : y = 1 0 π sin 2 π T t - 2 π λ x For what value of the wavelength the wave velocity is twice the maximum particle velocity?

w a v e velocity = n λ ( V p ) m a x = a ω n λ = 2 a 2 π n λ = 2 ( a ) 2 π = 2 . 10 π . 2 π = 40 cm

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PhysicsWave on StringEquation/graphMedium2 minPYQ_2014

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A transverse wave is represented by : $y = \frac{10}{π} sin (\frac{2 π}{T} t - \frac{2 π}{λ} x)$ For what value of the wavelength the wave velocity is twice the maximum particle velocity?

Options:

Answer:

Solution:

$w a v e velocity = n λ$

${(V_{p})}_{m a x} = a ω$

$n λ = 2 a (2 π n)$

$λ = 2 (a) 2 π$

$= 2 . \frac{10}{π} . 2 π$

= 40 cm

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Equation/graph

⏱ 2mℹ️ Source: PYQ_2014

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