question_answer

A point mass oscillates along the x-axis according to the law\[{{\log }_{3}}e\].If the acceleration of the particle is written as \[{{\log }_{e}}3\]then                                                                               [AIEEE 2007]

A)  \[f(x)={{\tan }^{-1}}(\sin x+\cos x)\]

B)       \[(\pi /4,\pi /2)\]

C)  \[(-\pi /2,\pi /4)\]

D)  \[(0,\pi /2)\]

Correct Answer: D

Solution :

[d] Given oscillation is

Acceleration,

So, amplitude

and phase angle