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A light pointer fixed to one prong of a tuning fork touches a vertical plate. The fork is set vibrating at a frequency of 56 Hz and allowed to free fall. Calculate how many complete oscillation are couhnted when plate falls st 10 cm

Text Solution

Verified by Experts

The correct Answer is:
8

Let `v=` frequency and `n =` number of oscillations.
Time taken to fall freely to a distance 10 cm.
`s = (1)/(2)"gt"^(2)`
`t = sqrt( ( 2 xx 10)/(g))`
The frequency of oscillation during this time
`v = (n)/(t) rArr n = v t`
`n = 56 xx sqrt((2 xx 10)/(980) ) = 7.999 ~~ 8`
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Knowledge Check

  • A light pointer fixed to one prong to a tuning fork touches a vertical plate. The fork is set vibrating and the plate is allowed to fall freely. If eight oscillations are counted when the plate falls through 10 cm, the frequency of the tuning fork is

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