A sphere of relative density $\sigma$ and diameter $D$ has concentric cavity of diameter $d$. The ratio of $\frac{D}{d}$, if it just floats on water in a tank is:
A sphere of relative density $\sigma$ and diameter $D$ has concentric cavity of diameter $d$. The ratio of $\frac{D}{d}$, if it just floats on water in a tank is:
- [JEE MAIN 2024]
- A
$\left(\frac{\sigma}{\sigma-1}\right)^{\frac{1}{3}}$
- B
$\left(\frac{\sigma+1}{\sigma-1}\right)^{\frac{1}{3}}$
- C
$\left(\frac{\sigma-1}{\sigma}\right)^{\frac{1}{3}}$
- D
$\left(\frac{\sigma-2}{\sigma+2}\right)^{\frac{1}{3}}$
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