A particle of mass m is under the influence of a force F which varies with the displacement x according to the relation \[F=-kx+{{F}_{0}}\]in which k and \[{{F}_{0}}\] are constants. The particle when disturbed will oscillate [UPSEAT 2001]

about \[x={{F}_{0}}\text{/}k\,\text{with }\omega \ne \sqrt{k/m}\]

about \[x=0,\,\text{with }\omega \ne \sqrt{k/m}\]

about \[x=0,\,\text{with }\omega =\sqrt{k/m}\]

about \[x={{F}_{0}}/k\,\,\text{with }\omega =\sqrt{k/m}\]

A particle of mass m is under the influence of a force F which varies

1.	A particle of mass m is under the influence of a force F which varies with the displacement x according to the relation \[F=-kx+{{F}_{0}}\]in which k and \[{{F}_{0}}\] are constants. The particle when disturbed will oscillate [UPSEAT 2001]
A.	about \[x=0,\,\text{with }\omega \ne \sqrt{k/m}\]
B.	about \[x=0,\,\text{with }\omega =\sqrt{k/m}\]
C.	about \[x={{F}_{0}}/k\,\,\text{with }\omega =\sqrt{k/m}\]
D.	about \[x={{F}_{0}}\text{/}k\,\text{with }\omega \ne \sqrt{k/m}\]
Answer» D. about \[x={{F}_{0}}\text{/}k\,\text{with }\omega \ne \sqrt{k/m}\]