A heavy small-sized sphere is suspended by a string of length $l$. The sphere rotates uniformly in a horizontal circle with the string making an angle $\theta $ with the vertical. Then the time period of this conical pendulum is
A heavy small-sized sphere is suspended by a string of length $l$. The sphere rotates uniformly in a horizontal circle with the string making an angle $\theta $ with the vertical. Then the time period of this conical pendulum is
- A
$t = 2\pi \sqrt {\frac{l}{g}} $
- B
$t = 2\pi \sqrt {\frac{{l\,\sin \,\theta }}{g}} $
- C
$t = 2\pi \sqrt {\frac{{l\,\cos \,\theta }}{g}} $
- D
$t = 2\pi \sqrt {\frac{l}{{g\,\cos \,\theta }}} $
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