Consider the figure here. A particle of ...

Consider the figure here. A particle of mass m is constrain to move inside a smooth vertical groove of radius R and is connected to a light spring of spring constant K in equilibrium. O is centre of the groove. X and y are horizontal and vertical axes respectively. Different physical parameters are related as `2KR=7mg`. Angular frequency of the oscillations, if the particle is slightly displaced from the shown equilibrium position is

`sqrt((g)/(R))`

`sqrt((g)/(2R))`

`2sqrt((g)/(R))`

`sqrt((2g)/(R))`

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