Select the correct statement on the basis of the given graph

Options

A. Young's modulus of A is greater but it is less ductile
B. Young's modulus of A is greater and it is more ductile
C. Young's modulus of A is less and it is less ductile
D. Young's modulus of A is less but it is more ductile

Answer

A

Explanation

Initial kinetic energy `=(1)/(2)((2mr^(2))/(2))omega_(0)^(2)=(1)/(2)mr^(2)omega_(0)^(2)`
Final kinetic energy
`=(1)/(2)((3mr^(2))/(2))((2omega_(0))/(3))^(2)`
`=(1)/(2)((3mr^(2))/(2))(4omega_(0)^(2))/(9)`
`= (mr^(2)omega_(0)^(2))/(3)`
implies loss in kinetic energy `=(mr^(2)omega_(0)^(2))/(2)-(mr^(2)omega_(0)^(2))/(3)=(mr^(2)omega_(0)^(2))/(6)`