A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle \[\theta \] with the vertical [CPMT 1983]

\[{{\tan }^{-1}}\frac{g}{a}\] in the backward direction

\[{{\tan }^{-1}}\frac{a}{g}\] in the forward direction

\[{{\tan }^{-1}}\frac{a}{g}\] in the backward direction

\[{{\tan }^{-1}}\frac{g}{a}\] in the forward direction

A simple pendulum is set up in a trolley which moves to the right with

1.	A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle \[\theta \] with the vertical [CPMT 1983]
A.	\[{{\tan }^{-1}}\frac{a}{g}\] in the forward direction
B.	\[{{\tan }^{-1}}\frac{a}{g}\] in the backward direction
C.	\[{{\tan }^{-1}}\frac{g}{a}\] in the backward direction
D.	\[{{\tan }^{-1}}\frac{g}{a}\] in the forward direction
Answer» C. \[{{\tan }^{-1}}\frac{g}{a}\] in the backward direction