Question

On heating a uniform metallic cylinder length increases by 3% . The area of cross section of its base will increase by

Answer 1

5 answers · Physics

Best Answer

Area of the base is π r² or π d²/ 4 where r is the radius and d is the diameter.

r or d both have the dimension of length.

A = π r²

δA= 3 π r* δr = 3A δr/r

δA/A = = 3*(δr/r )

It is given that δr/r = 3%

Hence

δA/A = 3*3%= 9 %