Answer: A straight line of negative slope.
- A A straight line of negative slope
- B A straight line of positive slope
- C A parabola through the origin
- D A rectangular hyperbola
Correct answer: A. A straight line of negative slope
Explanation: The restoring force F = -kx is linear in x with a negative constant of proportionality, so the F-x graph is a straight line of negative slope passing through the origin.
In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.
Concept context
Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.