Physics-Work-Energy Theorem

NEET Physics Work-Energy Theorem MCQ Question

Type: MCQ-diagram based-Easy-Class 11

Consider a diagram showing a curve representing a varying force F(x) acting on an object along a displacement from x_i to x_f. Which of the following expressions correctly represents the work done by this force over the displacement?

Question diagram
A

∫ from x_i to x_f of F(x) dx

B

F(x) multiplied by (x_f - x_i)

C

F(x) divided by (x_f - x_i)

D

∫ from x_f to x_i of F(x) dx

Correct Answer

Option A

Detailed Explanation

The work done by a varying force over a displacement is given by the integral of the force with respect to displacement, as shown in the NCERT context where it is expressed as ∫ F(x) dx from x_i to x_f.

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