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To a stationary man, rain appears to be ...

To a stationary man, rain appears to be falling at his back at an angle `30^@` with the vertical. As he starts moving forward with a speed of `0.5 m s^-1`, he finds that the rain is falling vertically.
The speed of rain with respect to the moving man is.

A

`0.5 m s^-1`

B

`1.0 m s^-1`

C

`0.5 sqrt(3) ms^-1`

D

`0.45 ms^-1`

Text Solution

Verified by Experts

The correct Answer is:
C
(c) `sin 30^@ = (v_m)/(v_r) rArr v_r = 1 ms^-1`
`v_(r//m) = v_r cos 30^@ 1 xx (sqrt(3))/(2) = 0.5 sqrt(3) ms^-1`.
.
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Knowledge Check

  • To a stationary man, rain appears to be falling at his back at an angle 30^@ with the vertical. As he starts moving forward with a speed of 0.5 m s^-1 , he finds that the rain is falling vertically. The speed of rain with respect to the stationary man is.

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    `0.5 m s^-1`
    B
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