Properties Of Solids And Liquids Question 558

Question: A wooden cylinder of 50 kg is floating in water. A weight of 2 kg is to be placed on it to just make it submerge when the temperature is 10∘C . How much less weight is to be placed when temperature increases to 30∘C ? (Given γwater=10−4/oC,γwood is negligible.):

Options:

A) 104 g

B) 58 g

C) 208 g

D) 54 g

Show Answer

Answer:

Correct Answer: A

Solution:

mg+Mg=ρωVg

m′g+Mg=ρω1+γΔTVg

m−m′=ρ(ω−ρω1+γΔT)g(ρωγΔT1+γΔT)Vg

52g=ρωVg

2−m′≈52×10−4×201=104gm.

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