Question

Two springs of force constants K₁ and K₂ (K₁> K₂) are stretched by same force. If W₁ and W₂ be the work done stretching the springs then......

Options

• W₁=W₂

• W₁<W₂

• W₁>W₂

• W₁=W₂=0

Answer 1

W₁<W₂

F₁ = K₁x1 and F₂ = K₂x2

Force is same

∴ K₁x1=K₂x2

∴x₁<x₂  ........(K₁>K₂)

Work done, `W_1=1/2K_1x_1^2 and W_2=1/2K_2x_1^2`

∴W₁<W₂  .........(K₁>K₂ and x₁<x₂)