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Biggest three digit perfect square is ...

Biggest three digit perfect square is _____
a)` 30 ^2`
b) 999
c) 31
d) `31^2`

Text Solution

Verified by Experts

The correct Answer is:
`=2sqrt(r/g)`
Given that `r=`radius
Let `n=`normal reaction
Driving force F=`mgsintheta`
Acceleration `=a=g(theta)`
As `sintheta` is very small `sinthetararrtheta`
Acceleratioin `a=g(theta)`
let x be the displacement from the mean position of the body
`:. theta=x/r`
`rarr a=g(theta)=g(x/r)`
`rarr (a/x)=(g/r)`
so teh body makes S.H.M
`T=2pisqrt(x/a)`
`=2pi sqrt(x/(gx/r))=2sqrt(r/g)`
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