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A man standing on a inclined plain obser...

A man standing on a inclined plain observes rain is falling verticaly. When he starts moving down the inclined plain with velocity `v=6m//s` observes rain hitting him horizontally.
The actual velocity of rain is

A

`3m//s`

B

`3sqrt(3)m//s`

C

`4m//s`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`vecv_(r,m)=vecv_r-vecv_m=vecv_r+(-vecv_m)`

`cos60^@=(|vecv_(r,m)|)/(|vecv_m|)=(|vecv_r|)/6`
`1/2=(|vecv_(r,m)|)/6implies|vecv_(r,m)|=3m//s`
`sin60^@=(|vecv_r|)/(|vecv_m|)=(vecv_r|)/6`
`implies sqrt3/2=(|v_r|)/6implies|vecv_r|=3sqrt3m//s`
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Knowledge Check

  • A man standing on a inclined plain observes rain is falling vertically. When he starts moving down the inclined plain with velocity v=6m//s observes rain hitting him horizontally. The velocity of rain with respect to the man when he is moving down is

    A
    `3m//s`
    B
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    C
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    D
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    A
    `12 sqrt(3)kmh^(-1)`
    B
    `6 sqrt(3) kmh^(-1)`
    C
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    D
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    A
    `(5)/(sqrt3)` km/h
    B
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    C
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