Physics · JEE

Oscillations of a spring: restoring force and force constant Concepts for JEE

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Concept explainer

Oscillations of a spring: restoring force and force constant is a core JEE Main Physics subtopic under Oscillations and Waves. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Oscillations of a spring: restoring force and force constant in the JEE syllabus
Memorise key formulas and standard results linked to Oscillations of a spring: restoring force and force constant
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JEE tips

Revise Oscillations of a spring: restoring force and force constant with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Oscillations of a spring: restoring force and force constant and reattempt after 48 hours

Common trap

Students often rush Oscillations of a spring: restoring force and force constant questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Oscillations and Waves in JEE Main Physics.

Free sample questions

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Q1PhysicsUnit 10: Oscillations and Waves

Find force constant for small oscillation around equilibrium:

Q2PhysicsUnit 10: Oscillations and Waves

A mass of

50 \mathrm{kg}

is suspended from a spring of stiffness

10 \mathrm{kN} / \mathrm{m}

. It is set oscillating and it is observed that two successive oscillations have amplitudes of

10 \mathrm{mm}

and

1 \mathrm{mm}

Determine the damping ratio.

Q3PhysicsUnit 10: Oscillations and Waves

When a body of mass

1.0 \mathrm{kg}

is suspended from a certain light spring hanging vertically, its length increases by

5 \mathrm{cm} .

By suspending

2.0 \mathrm{kg}

block to the spring and if the block is pulled through

10 \mathrm{cm}

and released, the maximum velocity in it in

m / s

Q4PhysicsUnit 10: Oscillations and Waves

In reality, a spring won't oscillate for ever. will

\quad

the amplitude of oscillation until eventually the system is at rest.

Q5PhysicsUnit 10: Oscillations and Waves

A light spiral spring supports a 200 g weight at its lower end. It oscillates up and down with a period of 1 sec. How much weight (gram) must be removed from the lower end to reduce the period to 0.5 sec.?

Q6PhysicsUnit 10: Oscillations and Waves

An object with a mass

\mathrm{M}

is suspended from an elastic spring with a spring constant k. The object oscillates with period T. If the mass of oscillations is quadrupled, how it will change the period of oscillations?

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Frequently asked questions

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