MCQ
The bulk modulus of a liquid is $3 \times 10^{10}\, Nm ^{-2}$. The pressure required to reduce the volume of liquid by $2 \%$ is ........ $\times 10^{8}\; Nm ^{-2}$
- A$3$
- B$9$
- ✓$6$
- D$12$
$-\frac{\Delta V }{ V }=0.02$
$B =\frac{\Delta P }{-\frac{\Delta V }{ V }} \Rightarrow \Delta P =- B \left(\frac{\Delta V }{ V }\right)$
$=\left(3 \times 10^{10}\right)(0.02)$
$=6 \times 10^{8} N / m ^{2}$
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$Assertion$ $(A)$ : The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
$Reason$ $(R)$: The moon takes less time to move around the earth than the time taken by the earth to move around the sun.
In the light of the above statements, choose the most appropriate answer from the options given below: