Two pulses travelling on same string are described by equations y 1 = ( 3 x − 4 t ) 2 + 2 5 and y 2 = ( 3 x + 4 t − 6 ) 2 + 2 − 5 .

At t = 4 3 s : y 1 = ( 3 x − 3 ) 2 + 2 5 and y 2 = ( 3 x − 3 ) 2 + 2 − 5 , so y 1 + y 2 = 0 everywhere - (B) correct, (A) wrong. At x = 1 : y 1 = ( 3 − 4 t ) 2 + 2 5 and y 2 = ( 4 t − 3 ) 2 + 2 − 5 cancel at all times - (C) correct; (D) wrong.

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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringVelocityMedium3 minQB

PhysicsMediummultiple choice

Two pulses travelling on same string are described by equations $y_{1} = \frac{5}{( 3 x - 4 t ) ^{2} + 2}$ and $y_{2} = \frac{- 5}{( 3 x + 4 t - 6 ) ^{2} + 2}$ .

Options:(select one or more)

Answer:

B, C

Solution:

At $t = \frac{3}{4} s$ : $y_{1} = \frac{5}{( 3 x - 3 ) ^{2} + 2}$ and $y_{2} = \frac{- 5}{( 3 x - 3 ) ^{2} + 2}$ , so $y_{1} + y_{2} = 0$ everywhere - (B) correct, (A) wrong.

At $x = 1$ : $y_{1} = \frac{5}{( 3 - 4 t ) ^{2} + 2}$ and $y_{2} = \frac{- 5}{( 4 t - 3 ) ^{2} + 2}$ cancel at all times - (C) correct; (D) wrong.

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Velocity

⏱ 3mℹ️ Source: QB

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