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KCET2009PhysicsWaves and Sound

y =3 ( t 2 - x 4 ) represents an equation of a progressive wave, where t is in second and x is in metre. The distance travelled by the wave in 5 ~s is

Options

  1. A8 ~m
  2. B10 ~m
  3. C5 ~m
  4. D32 ~m

Correct answer

B. 10 ~m

Step-by-step solution

The given equation of a progressive wave is y=3 ( t 2 - x 4 )=3 2 ( t 4 - x 8 ) The standard equation of a progressive wave is y = y ₀ 2 ( t T - x ) Comparing these two equations, we get T =4 ~s , =8 ~m Velocity of wave, v = T = 8 4 =2 ~ms ⁻¹ Distance travelled by wave in time t is s = vt or s =2 5=10 ~m

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