Try this Challenge if you dare?

The bob of mass m, charge q is circulating in a vertical circle of radius R, with the help of a massless inextensible string. if the maximum speed of the bob is V, then the period of revolution is \({ T }_{ 1 }\). If an electric field of magnitude (mg/q) is setup which makes an angle 60 degree with upward vertical.

Again the bob is circulating in same circle and its maximum speed is V, the period of revolution being \({ T }_{ 2 }\).

Find 95 *(\(\frac { { T }_{ 1 } }{ { T }_{ 2 } } \))?

Data

\(\bullet \) m = 5 kg,

\(\bullet \) g=10

\(\bullet \) R= 2m

\(\bullet \) q = 1 C

Additional challenge

\(\bullet \) Solve this without actually solving for the time periods!!!

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