Student Login

Home›Chapters›Oscillations PYQs›Other SHM Systems›Question 1

JEE Main 2026 (24 Jan, Shift 1) · Other SHM Systems

Other SHM Systems question from JEE Main 2026 (24 Jan, Shift 1)

Q1JEE Main 2026 · 24 JAN · SHIFT 1Easy

Other SHM Systems

A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$ and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is ______

Show answer and solution

Answer: (c)

Pushing down by $x$ adds buoyancy $\rho A g x$ , so $k_{eff} = \rho A g$ .
$T = 2\pi\sqrt{\frac{M}{\rho A g}}$ , answer (c).

Report a mistake

More questions on Other SHM Systems

A small sphere oscillates simple harmonically in a watch glass whose radius of curvature…MHT CET 2026 (15 Apr, Shift 1)
A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in…JEE Main 2026 (4 Apr, Shift 2)
A wooden cube (density d) of side L floats on a liquid of density ρ with its upper and…MHT CET 2026 (13 May, Shift 2)
A rectangular block of mass 'm' and cross-sectional area 'A' floats on a liquid of…MHT CET 2026 (16 Apr, Shift 1)
A cylindrical cork of uniform density floats in a liquid of density ρ₁. If the cork is…NEET 2026 (Re-neet)
A small sphere oscillates simple harmonically in a watch glass whose radius of curvature…MHT CET 2025 (25 Apr, Shift 1)
A light hollow cube of side length 10 cm and mass 10 g, is floating in water. It is…JEE Main 2025 (23 Jan, Shift 1)
A small spherical ball of radius ' r ' is rolling on a curved surface which is…MHT CET 2025 (22 Apr, Shift 2)