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A composite inclined plane has three dif...

A composite inclined plane has three different inclined surfaces `AB, BC` and `CD` of heights `1 m` each and coefficients of friction `(1)/(sqrt(3)), (1)/(sqrt(8))` and `(1)/(sqrt(15))` respectively. A particle given an initial velocity at `A` along `AB` transverses the inclined surfaces with uniform speed, reaches `D` in `5s`. The initial speed given is `("in" m//s)`

A

`1.6`

B

`1.8`

C

`2.4`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that if the angle of inclination is `tan^(-1) mu` no resultant force acts on the body
`:. AB=(1)/(sin(tan^(-1)'(1)/(sqrt(3))))=2m`
`BC=(1)/((tan^(-1)'(1)/(sqrt(15))))=3m`
`CD=(1)/(sin(tan^(-1)'(1)/(sqrt(15))))=4m`
`:. ABCD= 9M, T=5S, V=1.8 m//s`
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