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Two springs of spring constant 1500 Nm^(...

Two springs of spring constant `1500 Nm^(-1)` and `3000 Nm-1 respectively are stretched with the same force. They will have potential energy in the ratio .....

A

`1:2`

B

`2:1 `

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
B
`U = 1/2 kx^2 , x = F/K`
` U = 1/2 K (F/K)^2 , U = (F^2)/(2K)`
` U_1/U_2 = K_2/K_1 = 3000/15000 = 2/1`
` U_1 : U_2 = 2:1 `
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