Student Login

Home›Chapters›Oscillations PYQs›Spring Systems›Question 50

MHT CET 2023 (14 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2023 (14 May, Shift 2)

Q50MHT CET 2023 · 14 MAY · SHIFT 2Medium

Spring Systems

A light spring is suspended with mass $m_1$ at its lower end and its upper end fixed to a rigid support. The mass is pulled down a short distance and then released. The period of oscillation is $T$ second. When a mass $m_2$ is added to $m_1$ and the system is made to oscillate, the period is found to be $\frac{3}{2}T$ . The ratio $m_1 : m_2$ is

Show answer and solution

Answer: (c)

$T \propto \sqrt{m}$ : $\left(\frac{3}{2}\right)^2 = \frac{m_1+m_2}{m_1}$ .
$\frac{9}{4} = 1 + \frac{m_2}{m_1} \Rightarrow \frac{m_2}{m_1} = \frac{5}{4}$
So $m_1 : m_2 = 4 : 5$ , answer (c).

Report a mistake

More questions on Spring Systems

The upper end of the spring is fixed and a mass ' m ' is attached to its lower end. When…MHT CET 2023 (11 May, Shift 2)
A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass…JEE Main 2023 (24 Jan, Shift 2)
A mass M is suspended from a light spring. An additional mass M₁ added extends the spring…MHT CET 2023 (13 May, Shift 2)
A uniform circular disc of mass 12 kg is held by two identical springs. When the disc is…MHT CET 2023 (14 May, Shift 2)
Under the influence of force F₁ the body oscillates with a period T₁ and due to another…MHT CET 2023 (13 May, Shift 2)
In the figure given below, a block of mass M = 490 g placed on a frictionless table is…JEE Main 2023 (31 Jan, Shift 1)
Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at…JEE Main 2022 (24 Jun, Shift 2)
As per given figures, two springs of spring constants k and 2k are connected to mass m…JEE Main 2022 (26 Jul, Shift 2)