Properties Of Solids And Liquids Question 277

Question: Two solids A and Bfloat in water. It is observed that A floats with 12 of its body immersed in water and B floats with 14 of its volume above the water level. The ratio of the density of A to that of B is

Options:

A)4 : 3

B)2 : 3

C)3 : 4

D)1 : 2

Show Answer

Answer:

Correct Answer: B

Solution:

Upthrust = weight of body For A, VA2×ρW×g=VA×ρA×gρA=ρW2

For B, 34VB×ρW×g=VB×ρB×gρB=34ρW

(Since 1/4 of volume of B is above the water surface) \ ρAρB=ρW/23/4 ρW=23



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