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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