A) T
B) \[<T\]
C) \[>T\]
D) \[\le T\]
Correct Answer: B
Solution :
The time period of the spring mass system in air, \[T=2\pi \sqrt{\frac{m}{k}}\] When the mass is immersed in water, partially the buoyant force \[=\rho Axg\]and the spring force = Kx, when the body is displaced through a small distance x. Thus, the restoring force \[=Kx+\rho Agx\]. \[\therefore \] \[\omega '=\sqrt{\frac{k+\rho Ag}{m}}\] \[\Rightarrow \] \[T'=2\pi \,\sqrt{\frac{m}{k+\rho Ag}}\] [T?=new time period] Hence, \[T'<T\]You need to login to perform this action.
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