A sphere of diameter 7 cm and mass 266.5

Asked by admin @ 16/08/2021 in Physics viewed by 291 People

a sphere of diameter 7cm and mass 266.5g floats in a bath of liquid as temperature is raised,the sphere just sinks at a temperatue of 35 degree celsius if the density of the liquid at 0 degree celsius is 1.527 gm/ cm cube

Answered by admin @ 16/08/2021

according to given question 35°C at density of liquid be d

then,

vdg=mg

d=m/v

d=266.5÷4/3π(3.5)³ ×10³ ........diameter =7

therefore radius is 3.5 cm

d=1.4833×10³

and

d=D(1-α×ΔT)

α=D-d÷D×ΔT

α= $\frac{1.527-1.4833}{1.527*35}$

α=0.00082=8.2× $10^{-4}$ /°C

Hope this answer helps ......

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