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Displacement

Bengali: সরণ•Pronunciation: ডিসপ্লেসমেন্ট•Symbol: \vec{s} \text{ বা } \Delta\vec{r}
Standard Definition:
The shortest straight-line vector directed from an object's initial position to its final position.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
Δr⃗=r⃗f−r⃗i\Delta\vec{r} = \vec{r}_f - \vec{r}_i
Standard SI Unit
m (meter)($m$ (মিটার))
Dimensional Analysis
[L][L]
CGS Unit
cm (সেন্টিমিটার)

📖 Physical Concept & Comprehensive Explanation

Displacement is a vector quantity representing the shortest straight-line distance from start to finish along with its direction. Even if a particle traverses a winding path, its displacement depends exclusively on its initial and final boundary points.

🎯 High-Yield Revision Points

  • ✓Displacement can be positive, negative, or zero.
  • ✓Distance is scalar, whereas displacement is a vector.
  • ✓A complete circular round trip results in zero net displacement.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: What is displacement? State its SI unit and dimension.

Displacement is the change in position of an object in a specific direction. Its SI unit is meter (m) and dimension is [L].

Q2: Can displacement be zero when distance travelled is non-zero?

Yes, if an object returns to its starting point after traversing any trajectory, its net displacement is zero while its distance is non-zero.

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