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A force \(F=\alpha +\beta {x}^{2}\) acts on an object in the x -direction. The work done by the force is 5 J when the ob…

Q1

A force \(F=\alpha +\beta {x}^{2}\) acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m. If the constant \(\alpha =1N\) then \(\beta\) will be

[JEE Main 2025, 24 Jan (Shift 1)]

a

\(10N/{m}^{2}\)

b

\(8N/{m}^{2}\)

c

\(15N/{m}^{2}\)

d

\(12N/{m}^{2}\)

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