A) \[\operatorname{t}=2t\Omega \]
B) \[\operatorname{t}={{t}_{0}}/2\]
C) \[t={{t}_{0}}\]
D) \[t=4{{t}_{0}}\]
Correct Answer: A
Solution :
\[\operatorname{t}=2\pi \sqrt{\frac{\ell }{{{g}_{eff}}}};\,\,{{t}_{0}}=2\pi \sqrt{\frac{\ell }{g}}\] \[\operatorname{Net}\,\,force=\,\,\left( \frac{4}{3}-1 \right)\times 1000\,Vg\,=\frac{1000}{3}Vg\] \[{{g}_{eff}}\,\,=\,\,\frac{1000\,Vg}{3\times \frac{4}{3}\times 1000\,V}\,\,=\,\,\frac{g}{4}\] \[\therefore \,\,t=2\pi \sqrt{\frac{\ell }{g/4}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,t=2{{t}_{0}}\]You need to login to perform this action.
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