KVPY2011PhysicsMechanical Properties of Fluids
An object with uniform density 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 ₁ as shown in the figure, the spring stretches by an amount x₁ ( > ₁ ) . When the experiment is repeated in a liquid of density ₂ < ₁ , the spring stretches by an amount x₂ . Neglecting any buoyant force on the spring, the density
Options
- A= ₁ x₁- ₂ x₂ x₁-x₂
- B= ₁ x₂- ₂ x₁ x₂-x₁
- C= ₁ x ₂+ ₂ x ₁ x ₁+ x ₂
- D= ₁ x₁+ ₂ x₂ x₁+x₂
Correct answer
B. = ₁ x₂- ₂ x₁ x₂-x₁
Step-by-step solution
F.B.D array l kx ₁+ ₁ Vg = Vg ...(1) kx ₂+ ₂ Vg = Vg ...(2) array from (1) and (2) = ₂ x ₁- ₁ x ₂ x ₁- x ₂ = ₁ x ₂- ₂ x ₁ x ₂- x ₁