A Particle Is Moving in SHM $\pi$ ² x₁² -X₂² ) $\pi$

question 63

Multiple Choice

A particle is moving in SHM. If it has velocities of v₁ and v₂ when it is at positions x₁ and x₂ from the equilibrium position respectively, then the square of the frequency of vibration f ²) is given by

• A) v₁² -v₂² ) / 4 \(\pi\)² x₁² -x₂² ).
• B) v₁² -v₂² ) / 4 \(\pi\)² x₂² -x₁² ).
• C) v₁² + v₂² ) / 4 \(\pi\)² x₂² - x₁² ).
• D) v₁² + v₂² ) / 2 \(\pi\)² x₂² + x₁² ).
• E) v₁² + v₂² ) / x₂² -x₁² ).

---

Definitions:

Gold Discovered

The event or process of discovering gold deposits in an area, often leading to gold rushes and significant social and economic changes.

1848

A year marked by widespread revolutions across Europe, driven by demands for political and social reform.

Core Value

A principal or fundamental belief guiding the behavior, practices, and decision-making of an individual or organization.

Early Nineteenth Century

A period dating from 1801 to 1850, often associated with significant socio-political changes and early industrialization.