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NEET 2009
Exam
NEET
Year
2009
Subject
Physics
Chapter
Oscillations

NEET 2009 · Physics · Oscillations

Which one of the following equations of motion represents simple...

Which one of the following equations of motion represents simple harmonic motion?

Options

  1. AAcceleration =−k0x+k1x2=-\mathrm{k}_0 \mathrm{x}+\mathrm{k}_1 \mathrm{x}^2
  2. BAcceleration =−k(x+a)=-\mathrm{k}(\mathrm{x}+\mathrm{a})
  3. CAcceleration =k(x+a)=\mathrm{k}(\mathrm{x}+\mathrm{a})
  4. DAcceleration =kx=\mathrm{kx} where k1k0,k1\mathrm{k}_1 \mathrm{k}_0, \mathrm{k}_1 and are all positive.

Correct answer

B. Acceleration =−k(x+a)=-\mathrm{k}(\mathrm{x}+\mathrm{a})

Step-by-step solution

Key Idea Acceleration ∝\propto - (displacement). A∝−yA=−ω2yA=−kmyA=−ky\begin{aligned}& A \propto-y \\ & A=-\omega^2 y \\ & A=-\frac{k}{m}y \\ & A=-k y \end{aligned}Here, y=x+ay=x+a \therefore $\text{ acceleration }=-\mathrm{k}(\mathrm{x}+\mathrm{a})
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