Olympiad workbook
- Exam
- Olympiad workbook
- Subject
- NSEP
- Chapter
- Work, Power and Energy
Olympiad workbook · NSEP · Work, Power and Energy
A particle rests in equilibrium under two forces of repulsion whose...
A particle rests in equilibrium under two forces of repulsion whose centres are at distances of and from the particle. The forces vary as the cube of the distance. The forces per unit mass are and respectively. If the particle be slightly displaced towards one of them the motion is simple harmonic with the time period equal to
Options
- A\frac{2 \pi}{\sqrt{3\left(\frac{k}{a^3}+\frac{k^{\prime}}{b^3}\right)}}
- B\frac{2 \pi}{\sqrt{\left(\frac{k}{a^3}+\frac{k^{\prime}}{b^3}\right)}}
- C\frac{2 \pi}{\sqrt{\left(\frac{k}{a^4}+\frac{k^{\prime}}{b^4}\right)}}
- D\frac{2 \pi}{\sqrt{3\left(\frac{k}{a^4}+\frac{k^{\prime}}{b^4}\right)}}
Correct answer
D. \frac{2 \pi}{\sqrt{3\left(\frac{k}{a^4}+\frac{k^{\prime}}{b^4}\right)}}
Step-by-step solution
No Solution (deleted)