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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

A block of wood of volume \(V\) floats in water with half of its volume submerged. The same block floats in an oil with \(0.8 \mathrm{~V}\) volume submerged. If the density of water is \(1000 \mathrm{~kg} \mathrm{~m}^{-3}\), then the density of the oil is

  1. A \(800 \mathrm{~kg} \mathrm{~m}^{-3}\)
  2. B \(600 \mathrm{~kg} \mathrm{~m}^{-3}\)
  3. C \(550 \mathrm{~kg} \mathrm{~m}^{-3}\)
  4. D \(625 \mathrm{~kg} \mathrm{~m}^{-3}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(625 \mathrm{~kg} \mathrm{~m}^{-3}\)

Step-by-step Solution

Detailed explanation

Given, density of water, \(\rho_w=1000 \mathrm{kgm}^{-3}\) For the block of wood in water, volume of immersed part Total volume of block of wood…