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The three springs with force constant k(...

The three springs with force constant `k_(1)=8(N)/(m),k_(2)=10N/m,k_(3)=12N/m` are connected in series to a mass of 0.5kg . The mass is then pulled to the right and released . Then the period of the motion is.

A

2 s

B

`2.2s`

C

`2.5s`

D

`3.1s`

Text Solution

Verified by Experts

The correct Answer is:
C
The time period of motion is,
`T=2pisqrt(m((1)/(k_(1))+(1)/(k2)+1/k_(3)))`
`=2xx3.14xxsqrt(0.5((1)/(8)+(1)/(10)+(1)/(12))`
`=2.314xxsqrt(0.5xx308)=2xx3.14xxsqrt(0.154)`
`=2xx3.14xx0393s=2.468s`
`T=2.5s`
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