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Astha Parsa
Asked: 2022-11-06T10:12:42+05:30 In:

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10cm//s`. The wavelength of the wave is 0.5 m and its amplitude is `10 cm`. At a particular time t,the snapshot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
image
(a) `sqrt(3pi)/(50)hatjm//s`
(b)`-sqrt(3pi)/(50)hatjm//s`
(c)`sqrt(3pi)/(50)hatim//s`
(d) `-sqrt(3pi)/(50)hatim//s`

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10cm//s`. The wavelength of the wave is 0.5 m and its amplitude is `10 cm`. At a particular time t,the snapshot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
image
(a) `sqrt(3pi)/(50)hatjm//s`
(b)`-sqrt(3pi)/(50)hatjm//s`
(c)`sqrt(3pi)/(50)hatim//s`
(d) `-sqrt(3pi)/(50)hatim//s`
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  1. Particle velocity `v_p =-v` (slope of y-x graph)
    Here, `v+=ve`,as the wave is travelling in positive x-direction. Slope at P is negative.
    `:.` Velocity of particle is in positive `y`(or `hatj`) direction.
    `:.` Correct option is (a).

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Veena Merchant
Asked: 2022-11-04T23:40:00+05:30 In:

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10cm//s`. The wavelength of ythe wave is `0.5m` and its amplitude is `10cm`. At a particular time `t`, the snap-shot of the wave is shown in figure. The velocity of point `P` when its displacement is `5cm` is –
image
A. (a) `sqrt(3)/(50)hat(J)m//s`
B. (b) `-sqrt(3)/(50)hat(J)m//s`
C. ( c ) `sqrt(3)/(50)hat(i)m//s`
D. (d) `-sqrt(3)/(50)hat(i)m//s`

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10cm//s`. The wavelength of ythe wave is `0.5m` and its amplitude is `10cm`. At a particular time `t`, the snap-shot of the wave is shown in figure. The velocity of point `P` when its displacement is `5cm` is –
image
A. (a) `sqrt(3)/(50)hat(J)m//s`
B. (b) `-sqrt(3)/(50)hat(J)m//s`
C. ( c ) `sqrt(3)/(50)hat(i)m//s`
D. (d) `-sqrt(3)/(50)hat(i)m//s`
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  1. Correct Answer – A
    (a) Since the wave is sinusoidal moving in positive x-axis the point will move parallel to y-axis therefore options ( c ) and (d) are ruled out. As the wave moves forward in positive X-diretion, the point should move upwards i.e. in the positive Y-direction. therefore correct option is a.

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Runjhun Vaidya
Asked: 2022-10-29T23:31:31+05:30 In:

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10m//s`. The wavelength of the wave is `0.5m` and its amplitude is `10cm`. At a particular time `t`, the snap-shot of the wave is shown in figure. The velocity of point `P` when its displacement is `5cm` is –
image
A. `(sqrt(3)pi)/(50)hat(j) m//s`
B. `-(sqrt(3)pi)/(50)hat(j) m//s`
C. `(sqrt(3)pi)/(50)hat(i) m//s`
D. `-(sqrt(3)pi)/(50)hat(i) m//s`

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10m//s`. The wavelength of the wave is `0.5m` and its amplitude is `10cm`. At a particular time `t`, the snap-shot of the wave is shown in figure. The velocity of point `P` when its displacement is `5cm` is –
image
A. `(sqrt(3)pi)/(50)hat(j) m//s`
B. `-(sqrt(3)pi)/(50)hat(j) m//s`
C. `(sqrt(3)pi)/(50)hat(i) m//s`
D. `-(sqrt(3)pi)/(50)hat(i) m//s`
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  1. Correct Answer – 5
    `A_(eq) = sqrt(A_(1)^(2) + A_(2)^(2) + 2A_(1)A_(2) cos phi)`
    `A_(eq) = sqrt(4^(2) + 3^(2) + 2(4)(3)cos”(pi)/(2))`
    `A_(eq) = 5`.

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