Decrease the volume| Elasticity and Viscosity |JEE MAIN_2026

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JEE MAIN_2026

04-04-26_S2

Question

The increase in the pressure required to decrease the volume $(\Delta \mathrm{V})$ of water is $6.3 \times 10^7 \mathrm{~N} / \mathrm{m}^2$. The percentage decrease in the volume is $\_\_\_\_$ . (Bulk modulus of water $=2.1 \times 10^9 \mathrm{~N} / \mathrm{m}^2$ )

Select the correct option:

A

2 %

B

3 %

C

6 %

D

4 %

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Bulk modulus $\beta=\frac{-\Delta \mathrm{P}}{\left(\frac{\Delta \mathrm{V}}{\mathrm{V}}\right)}$ $$ 100 \times \frac{\Delta \mathrm{V}}{\mathrm{~V}}=\frac{-\Delta \mathrm{P}}{\beta} \times 100=-\frac{6.3 \times 10^7}{2.1 \times 10^9} \times 100=-3 \% $$ Percentage decrease=3\%

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