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Statement-I : For a particle of mass 1kg...

Statement-I : For a particle of mass `1kg`, executing `S.H.M.`, if slope of restoring force `vs` displacement graph is `=-1`, then the time period of oscillation with be `6.28s`.
Statement-II : If `1kg` mass is replaced by `2 kg` mass and rest of the information remains same as in statement-1, then the time period of oscillation with remain `6.28s`.

A

Statement-I is true, Statement-Ii is true, Statement-II is a correct explanation for Statement-I.

B

Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanantion for Statement-I.

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II is true

Text Solution

Verified by Experts

The correct Answer is:
C
As `F=- m omega^(2) y rArr` slope of `F -y` graph is `-m omega^(2) - 1 =- m omega^(2) =- omega^(2) =- omega^(2) rArr omega =1 T = 2pi = 6.28 s`
If mass is changed but slope remains same, the time period will change.
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