A) \[\sqrt{\frac{2\rho sg}{m}}+\sqrt{\frac{k}{m}}\]
B) \[\sqrt{\frac{\rho sg}{m}}+\sqrt{\frac{k}{m}}\]
C) \[\sqrt{\frac{k-2\rho sg}{m}}\]
D) \[\sqrt{\frac{k+\rho sg}{m}}\]
Correct Answer: D
Solution :
[d] If system is displaced by amount x from equilibrium position then Net restoring force \[kx+\rho sgx\] \[a=\left( \frac{k+\rho gs}{m} \right)x\] Hence \[\omega =\sqrt{\frac{k+\rho gs}{m}}\]
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