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A body takes 1(1)/(3) times as much time...

A body takes `1(1)/(3)` times as much time to slide down a rough inclined plane as it takes to slide down an identical but smooth inclined plane,If the angle of inclination is `45^(@)` find the coefficient of friction.

A

`1/16`

B

`3/16`

C

`5/16`

D

`7/16`

Text Solution

Verified by Experts

The correct Answer is:
D
`mu=Tan theta[1-1/n^(2)]`
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Knowledge Check

  • A block takes a twice as much time to slide down a 45^(@) rough inclined plane as it takes to slide down a similar smooth , plane . The coefficient of friction is :

    A
    `(3)/(4)`
    B
    `(sqrt3)/(2)`
    C
    `(1)/(4)`
    D
    `(1)/(3)`

  • A body takes twice the time to slides down a rough inclined plane at 45° to an identical smooth inclined plane. What is the coefficient of friction of rough plane?

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    0.75
    B
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    0.25
    D
    0.15

  • A given object takes n times as much time to slido down a 45^(@) rough inclined plane as it takes to slide down a perfectly smooth 45^(@) inclined plane. The coefficient of kinetic friction between the object and the inclined plane is given by:

    A
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    B
    `1//(1-n^(2))`
    C
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    D
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