A horizontal platform is made to execute SHM of amplitude a in the vertical direction. An object placed on the platform will lose contact with it, when the frequency of oscillation exceeds:

A horizontal platform is made to execute SHM of amplitude a in the vertical direction. An object placed on the platform will lose contact with it, when the frequency of oscillation exceeds:

A
$\frac{1}{π} \sqrt{\frac{g}{a}}$
B
$\frac{1}{2 π} \sqrt{\frac{g}{a}}$
C
$2 π \sqrt{\frac{g}{a}}$
D
$2 π \sqrt{\frac{a}{g}}$

Solution:

$ω^{2} a = g \Rightarrow ω = \sqrt{\frac{g}{a}} \Rightarrow f = \frac{1}{2 π} \sqrt{\frac{g}{a}}$

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