MCQ
An object with uniform density $\rho$ is attached to a spring that is known to stretch linearly with applied force as shown below.When the spring object system is immersed in a liquid of density $\rho_1$ as shown in the above figure, the spring stretches by an amount $x_1\left(\rho > \rho_1\right)$. When the experiment is repeated in a liquid of density $\left(\rho_2 < \rho_1\right)$, the spring stretches by an amount $x_2$. Neglecting any buoyant force on the spring, the density of the object is
- A$\rho=\frac{\rho_1 x_1-\rho_2 x_2}{x_1-x_2}$
- ✓$\rho=\frac{\rho_1 x_2-\rho_2 x_1}{x_2-x_1}$
- C$\rho=\frac{\rho_1 x_2+\rho_2 x_1}{x_1+x_2}$
- D$\rho=\frac{\rho_1 x_1+\rho_2 x_2}{x_1+x_2}$
