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A student working with a spring mass sys...

A student working with a spring mass system finds the values of mass, spring constant and damping constant in `CGS` unit as `90, 4.5xx10^(+3)` and `180` respectively. What will be the time period of the spring mass system ?

A

`2pi//7`

B

`14pi`

C

`pi`

D

`2pi//sqrt(50)`

Text Solution

Verified by Experts

The correct Answer is:
A
A student …………..
For damped oscillation `omega = sqrt((K)/(m) - (b_(1)^(2))/(4m^(2)))`
`omega = sqrt((4500)/(90) - (180xx180)/(4xx90xx90)) = sqrt(50-1) = 7`
Time period `= (2pi)/(7)sec` .
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