JEE Main 2023PhysicsMechanical Properties of SolidsEasyNumerical

JEE Main 2023 — Mechanical Properties of Solids Question with Solution

JEE Main 2023 (01 Feb Shift 1)

Question

A certain pressure 'P' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to 0.01% whereas the liquid gets compressed to 0.03%. The ratio of Bulk modulus of water to that of the liquid is 3x. The value of x is ______.

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Correct answer
1

Step-by-step explanation

Bulk modulus is given by B=-ΔPΔVV

Now, in case of water,  Bwater=-ΔPΔVV=-ΔP0.01100

In case of liquid, Bliquid=-ΔP0.03100

Thus, the ratio BwaterBliquid=-ΔP0.0001-ΔP0.0003=3

Hence, the value of x=1.

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About this question

This is a previous-year question from JEE Main 2023, covering the Mechanical Properties of Solids chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.