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Bulk Modulus and Compressibility for JEE: 16 solved questions

Real JEE paper questions on bulk modulus and compressibility, part of mechanical properties of solids. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2016 to 2026. No sign-in needed to read them.

What this topic asks

• Bulk modulus and compressibility — 16 questions

All 16 questions with solutions

• The increase in the pressure required to decrease the volume (Δ V) of water is 6.3×10⁷ N m⁻². The percentage… JEE Main 4th April 1st Shift 2026
• Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assert… JEE Main 28th Jan 1st Shift 2025
• The fractional compression ((Δ V)/V) of water at a depth of 2.5 km below sea level is %. Given, the bulk modu… JEE Main 29th Jan 2nd Shift 2025
• The bulk modulus of a liquid is 3×10¹⁰ N m⁻². The pressure required to reduce the volume of the liquid by 2%… JEE Main 24th June 1st Shift 2022
• The normal density of a material is ρ and its bulk modulus of elasticity is K. The magnitude of the increase… JEE Main 26th Feb 1st Shift 2021
• An object is located at 2 km beneath the surface of the water. If the fractional compression (Δ V)/V is 1.36%… JEE Main 17th March 2nd Shift 2021
• A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the s… JEE Main 4th Sept 2nd Shift 2020
• A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindric… JEE Main 2018
• A bottle has an opening of radius a and length b. A cork of length b and radius (a+Δ a), where Δ a a, is comp… JEE Main Online 2016
• The increase in pressure required to decrease the volume of a water sample by 0.2% is P×10⁵ N m⁻². Bulk modul… JEE Main 24th Jan 2nd Shift 2025
• The volume contraction of a solid copper cube of edge length 10 cm, when subjected to a hydraulic pressure of… JEE Main 28th Jan 2nd Shift 2025
• If the average depth of an ocean is 4000 m and the bulk modulus of water is 2×10⁹ N m⁻², then the fractional… JEE Main 27th Jan 1st Shift 2024
• A certain pressure P is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed… JEE Main 1st Feb 1st Shift 2023
• A sample of a liquid is kept at 1 atm. It is compressed to 5 atm, which leads to a change of volume of 0.8 cm… JEE Main 8th April 2nd Shift 2025
• The depth below the surface of the sea to which a rubber ball must be taken so as to decrease its volume by 0… JEE Main 31st Jan 1st Shift 2024
• When a rubber ball is taken to a depth of m in deep sea, its volume decreases by 0.5%. (The bulk modulus of r… JEE Main 31st Aug 1st Shift 2021