A block of mass $m$ rests on a platform. The platform is given up and down $SHM$ with an amplitude $d$ . What can be the maximum frequency so that the block never leaves the platform
A$\sqrt {g/d} $
B$\frac{1}{{2\pi }}\sqrt {g/d} $
C$\frac{1}{{2\pi }}\left( {g/d} \right)$
D$2\pi \sqrt {d/g} $
Medium
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B$\frac{1}{{2\pi }}\sqrt {g/d} $
b $m w^{2} d=m g$
$w=\sqrt{\frac{g}{d}}=2 \pi t$
$t=\frac{1}{2 \pi} \sqrt{\frac{g}{d}}$
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