Answer:
58 tons
Explanation:
Diameter of Palomar telescope mirror = 5 m
Radius of Palomar telescope mirror = 2.5 m
h = Thickness of mirror
Volume of mirror of 5 m diameter = πr²h = π2.5²h
Volume of mirror of 10 m diameter = π5²h
Mass of second mirror
Assuming the material of the mirrors are same the density will be same.
[tex]\rho=\frac{mass}{volume}[/tex]
[tex]\\\Rightarrow \frac{14.5}{\pi 2.5^2h}=\frac{m}{\pi 5^2h}\\\Rightarrow \frac{14.5}{2.5^2}=\frac{m}{5^2}\\\Rightarrow m=\frac{14.5}{2.5^2}\times 5^2\\\Rightarrow m=58\ tons[/tex]
∴ Weight of the mirror if it were 10 m diameter is 58 tons
