Questions
A metal ball immersed in alcohol weighs W1 at 0°C and W2 at 59°C. The coefficient of cubical expansion of the metal is less than that of alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that
detailed solution
Correct option is B
The upthrust on the ball is given by 43πRt3ρtgwhere Rt3=R03(1+γt) and ρt=ρ0/(1+γt)Upthrust at t °C =43πR03(1+γt)×ρ0/(1+γt)×g=43πR03ρ0gIt is same as that at 0°C. So, decrease in weight remains unchanged∴ W1=W2Talk to our academic expert!
Similar Questions
A vessel having coefficient of cubical expansion contains liquid Of coefficient of real expansion rR up to certain level. When Vessel
Is heated, match column I and column II.
Column - I | Column - II | ||
a | p | liquid level rises continuously from beginning | |
b | q | liquid level falls continuously from beginning | |
c | r | liquid level remains same | |
d | s | liquid level first falls and then rises |
a | b | c | d | |
1 | s | r | q | p |
2 | s | r | p | q |
3 | q | r | s | p |
4 | r | q | p | s |
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