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The Simple Pendulum for JEE: 27 solved questions

Real JEE paper questions on the simple pendulum, part of oscillations. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2003 to 2026. No sign-in needed to read them.

What this topic asks

• Time period, length and g — 12 questions
• Pendulum with changed g — 10 questions
• Pendulum in a liquid — 5 questions

All 27 questions with solutions

• A simple pendulum with a string 30 cm long performs 20 oscillations in 10 s. The length of string required fo… JEE Main 23rd Jan 1st Shift 2026
• Two simple pendulums of lengths l₁ and l₂, with strings of negligible mass, are displaced through angles θ₁ a… JEE Main 4th April 1st Shift 2025
• Assertion (A): A simple pendulum is taken to a planet whose mass is 4 times and radius 2 times those of the E… JEE Main 22nd Jan 2nd Shift 2025
• If R is the radius of the Earth and the acceleration due to gravity at its surface is g=π² m s⁻², the length… JEE Main 1st Feb 1st Shift 2024 (also JEE Main 25th July 2nd Shift 2022)
• The length of a simple pendulum is measured as 20 cm to an accuracy of 2 mm, and the time for 50 oscillations… JEE Main 31st Jan 2nd Shift 2024
• Choose the correct graph of length L against the square of the time period T² for a simple pendulum executing… JEE Main 1st Feb 2nd Shift 2023
• Assertion (A): A pendulum clock taken to Mount Everest becomes fast. Reason (R): The value of g is less at Mo… JEE Main 24th Jan 2nd Shift 2023
• T is the time period of a simple pendulum at the Earth's surface. Its time period becomes xT when it is taken… JEE Main 25th Jan 1st Shift 2023
• Two identical pendulum clocks are compared. Clock-1 is on the Earth and Clock-2 is on a space station at a he… JEE Main 28th July 2nd Shift 2022
• A simple pendulum of length L hangs from the roof of a vehicle which slides without friction down an inclined… JEE Main 29th July 1st Shift 2022
• The time period of a simple pendulum in a stationary lift is T. If the lift moves upwards with acceleration g… JEE Main 26th June 1st Shift 2022
• The motion of a simple pendulum executing SHM is represented by y=A sin(π t+φ), with the time in seconds. The… JEE Main 29th June 2nd Shift 2022
• A bob of mass m on a thread of length l oscillates with time period T. The bob is then immersed in a liquid w… JEE Main 31st Aug 2nd Shift 2021
• T₀ is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to 1/(16) of… JEE Main 22nd July 2nd Shift 2021
• The time period of a simple pendulum in a stationary lift is T. If the lift moves upwards with acceleration g… JEE Main 16th March 1st Shift 2021
• If the time period of a two metre long simple pendulum is 2 s, the acceleration due to gravity at that place… JEE Main 25th Feb 1st Shift 2021
• Statement I: A seconds pendulum has a time period of 1 second. Statement II: It takes precisely one second to… JEE Main 26th Feb 2nd Shift 2021
• A simple pendulum oscillating in air has period T. Its bob is then completely immersed in a non-viscous liqui… JEE Main 9th April 1st Shift 2019
• A pendulum executing simple harmonic motion has maximum kinetic energy K₁. If the length of the pendulum is d… JEE Main 11th Jan 2nd Shift 2019
• The mass and the diameter of a planet are each three times the corresponding values for the Earth. A simple p… JEE Main 11th Jan 2nd Shift 2019
• A simple pendulum of length 1 m oscillates with angular frequency 10 rad s⁻¹. Its support then starts oscilla… JEE Main 11th Jan 2nd Shift 2019
• The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of… JEE Main 2005
• The bob of a simple pendulum oscillates in water with period t, and in air with period t₀. Neglecting frictio… JEE Main 2003
• The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase… JEE Main 2003
• A simple pendulum is placed where its distance from the Earth's surface equals the radius of the Earth. If th… JEE Main 30th Jan 2nd Shift 2024
• A simple pendulum of length 100 cm with a bob of mass 250 g executes SHM of amplitude 10 cm. The maximum tens… JEE Main 6th April 2nd Shift 2023
• The metallic bob of a simple pendulum has relative density 5 and the pendulum has a time period of 10 s. If t… JEE Main 29th July 2nd Shift 2022