JEE Mains · Physics · STD 11 - 13. oscillations
Which of the following expressions corresponds to simple harmonic motion along a straight line, where \(x\) is the displacement and \(a, b, c\) are positive constants?
- A \(a + bx - cx^2\)
- B \(bx^2\)
- C \(a - bx + cx^2\)
- D \(-bx\)
Answer & Solution
Correct Answer
(D) \(-bx\)
Step-by-step Solution
Detailed explanation
In linear \(S.H.M\)., the restoring force acting on particle should always be proportional to the displacement of the particle and directed towards the equilibrium position. i.e., \(\mathrm{F} \propto x\) or \(\mathrm{F}=-\mathrm{bx}\) where \(\mathrm{b}\) is a positive constant
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