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Question

Physics Question on mechanical properties of solids

The increase in pressure required to decrease the 200L200 \,L volume of a liquid by 0.008%0.008\% in kPakPa is (Bulk modulus of the liquid =2100MPa= 2100 \,MPa is)

A

8.48.4

B

8484

C

92.492.4

D

168168

Answer

8484

Explanation

Solution

Bulk modulus K=ΔpΔVVK=\frac{\Delta p}{\Delta V} \cdot V
Δp=KΔVV\Delta p =\frac{K \Delta V}{V}
Δp=2100×106×0.008200\Delta p =\frac{2100 \times 10^{6} \times 0.008}{200}
=84kpa=84 \,kpa