Question

When a copper sphere is heated
percentage change
Is may
in an​

Answer 1

Answer:

=3 times the percentage change in radius Thus, maximum percentage change is observed in volume.

Explanation:

Answer 2

Answer:

Maximum in volume

Explanation:

Let R be the radius of sphere, V its volume and ρ its density. Then,

ΔR=RαΔθ

and percentage change in radius

R

ΔR

​  

×100=100αΔθ           ....(i)

Now, ΔV=γvΔθ=3αvΔθ           {∵γ=3α}

∴ Percentage increase in volume

=  

V

ΔV ​  

×100=300αΔθ             ...(ii)

Again, ρ    

=  1+γΔθ

ρ ​ =  

1+3αΔθ

ρ ​  

∴Δρ=ρ−ρ  

′   =ρ[1−  1+3αΔθ  1}

=  1+3αΔθ  (3αΔθ)ρ ​  

Percentage change in density  

=  ρ Δρ​  ×100=  

1+3αΔθ

300αΔθ       ...(iii)

From equations (i), (ii) and (iii), we see that the percentage change is maximum in volume.