STANDARDPhysics-Oscillations
STANDARD Physics Simple Harmonic Motion MCQ Question
Type: MCQ-conceptual-Medium-Class 11
A rectangular block of mass m and area of cross-section floats in a liquid of density ρ. If is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then
A
T ∝ 1/√m
B
T ∝ √ρ
C
T ∝ 1/√A
D
T ∝ 1/ρ
Correct Answer
Option C
Detailed Explanation
The time period T of oscillation for a floating block is derived from the formula T = 2π√(m/Aρg), which simplifies to T ∝ 1/√A. This indicates that the time period is inversely proportional to the square root of the area of cross-section.
Found an issue with this question?