1.

An object kept on a smooth inclined plane rising with height 1 units and length I units can be kept stationary relative to the inclined plane by giving a horizontal acceleration. The value of acceleration is :

Answer»

`(g)/(sqrt(l^(2)-1))`
`gsqrt(l^(2)-1)`
`(g)/(l)`
g.l.

Solution :The HORIZONTAL acceleration should be such that its COMPONENT along the plane should be equal and opposite to the acceleration down the plane i.e.
`a cos theta=g SIN theta`or`a=g TAN theta`
But `tan theta =(1)(sqrtl^(2)-1)`
`:.a=(g)/(sqrt(l^(2)-1)`
Hence (a) is the choice.


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