An object with uniform density ρ 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 figure, the spring stretches by an amount `x_(1)(rho gt rho_(1))`. When the experiment is repeated in a liquid of density `rho_(2) gt rho_(1)`, the spring stretches by an amount `x_(2)`. Neglecting any buoyant force on the spring, the density of the object is A. `rho=(rho_(1)x_(1)-rho_(2)x_(2))/(x_(1)-x_(2))`B. `rho=(rho_(1)x_(2)-rho_(2)x_(1))/(x_(2)-x_(1))`C. `rho=(rho_(1)x_(2)+rho_(2)x_(1))/(x_(2)+x_(1))`D. `rho=(rho_(1)x_(2)+rho_(2)x_(1))/(x_(1)+x_(2))`

An object with uniform density ρ is attached to a spring that is know

1.	An object with uniform density ρ 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 figure, the spring stretches by an amount `x_(1)(rho gt rho_(1))`. When the experiment is repeated in a liquid of density `rho_(2) gt rho_(1)`, the spring stretches by an amount `x_(2)`. Neglecting any buoyant force on the spring, the density of the object is A. `rho=(rho_(1)x_(1)-rho_(2)x_(2))/(x_(1)-x_(2))`B. `rho=(rho_(1)x_(2)-rho_(2)x_(1))/(x_(2)-x_(1))`C. `rho=(rho_(1)x_(2)+rho_(2)x_(1))/(x_(2)+x_(1))`D. `rho=(rho_(1)x_(2)+rho_(2)x_(1))/(x_(1)+x_(2))`
Answer» Correct Answer - B

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