WBJEE · Physics · Mechanical Properties of Fluids
\(A\) hollow sphere of external radius \(R\) and thickness \(t(< < R)\) is made of a metal of density \(\rho\). The sphere will float in water, if
- A \(t \leq \frac{R}{\rho}\)
- B \(t \leq \frac{R}{3 \rho}\)
- C \(t \leq \frac{R}{2 \rho}\)
- D \(t \geq \frac{R}{3 \rho}\)
Answer & Solution
Correct Answer
(B) \(t \leq \frac{R}{3 \rho}\)
Step-by-step Solution
Detailed explanation
The density of material is \(\rho\) The hollow sphere will float if its weight is less than the weight of the water displaced by the volume of the sphere This implies mass of the sphere is less than that for the same volume of water. Now, mass of spherical cell…
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