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Time period of a spring mass system is T...

Time period of a spring mass system is T.If this spring is cut into two parts whose lengths are in ratio 1:3 and the same mass is attached to the longer part, the new time period will be

A

`sqrt((3)/(2))T`

B

`(T)/(sqrt(3))`

C

`(sqrt(3)T)/(2)`

D

`sqrt(3)T`

Text Solution

Verified by Experts

The correct Answer is:
C
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Time period OF SHM spring mass system

The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be

Knowledge Check

  • The time period of a spring - mass system is T. If this spring is cut into two parts, whose lengths are in the ratio 1:2 , and the same mass is attached to the longer part, the new time period will be

    A
    `sqrt((1)/(3))T`
    B
    `sqrt((2)/(3))T`
    C
    `(sqrt3T)/(2)`
    D
    `sqrt3T`

  • Time period of a spring mass system can be changed by

    A
    changing the mass
    B
    acclerating the point of suspension of the block
    C
    cutting the spring (i.e.changing the length of the spring)
    D
    immersing the mass in a liquid

  • The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be:

    A
    `(T)/(4)`
    B
    T
    C
    `(T)/(2)`
    D
    2T

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