AIIMS 2018 Physics Simple Harmonic Motion MCQ Question

For a simple pendulum, the time period $T$ is given by the formula $T = 2\pi \sqrt{\frac{L}{g}}$, where $L$ is the length of the pendulum and $g$ is the acceleration due to gravity. When the point of suspension is moved upward according to $y = Kt²$, the effective length of the pendulum changes, leading to a new time period $T_2$. By substituting $g$ and the new effective length into the time period formula, we find that the ratio $\frac{T_1^2}{T_2^2} = \frac{6}{5}$, confirming option B as correct.

Options A, C, and D are incorrect as they do not accurately reflect the relationship between the time periods and the changes in effective length and gravitational acceleration due to the upward motion of the suspension point.