As shown in the figure a particle moves from 0 to A, and then A to B. Find path length and displ

Name: Problem 170, Chapter 2: JEE Physics
Uploaded: 2022-01-05T10:31:00-08:00
Duration: 1 min 5 s
Channel: Prem Bijarniya
Description: As shown in the figure a particle moves from 0 to A, and then A to B. Find path length and displacement. (A) 2 m,-2 m (B) 8 m,-2 m (C) 2 m, 2 m (D) 8 m,-8 m

step 1 For this question we have point A this is point B this is point O and this is angle theta and th

Question

As shown in the figure a particle moves from 0 to $\mathrm{A}$, and then $\mathrm{A}$ to $\mathrm{B}$. Find path length and displacement. (A) $2 \mathrm{~m},-2 \mathrm{~m}$ (B) $8 \mathrm{~m},-2 \mathrm{~m}$ (C) $2 \mathrm{~m}, 2 \mathrm{~m}$ (D) $8 \mathrm{~m},-8 \mathrm{~m}$

   As shown in the figure a particle moves from 0 to $\mathrm{A}$, and then $\mathrm{A}$ to $\mathrm{B}$. Find path length and displacement.
(A) $2 \mathrm{~m},-2 \mathrm{~m}$
(B) $8 \mathrm{~m},-2 \mathrm{~m}$
(C) $2 \mathrm{~m}, 2 \mathrm{~m}$
(D) $8 \mathrm{~m},-8 \mathrm{~m}$

JEE Physics

StemEZ 1st Edition

Chapter 2, Problem 170

Instant Answer

Solved by Expert Prem Bijarniya

01/05/2022

Step 1

This is the sum of the distance from 0 to A and the distance from A to B. From the explanation, we know that the distance from 0 to A is 2 meters and the distance from A to B is 5 meters. Therefore, the total path length is $2 + 5 = 7$ meters. Show more…

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As shown in the figure a particle moves from 0 to $\mathrm{A}$, and then $\mathrm{A}$ to $\mathrm{B}$. Find path length and displacement. (A) $2 \mathrm{~m},-2 \mathrm{~m}$ (B) $8 \mathrm{~m},-2 \mathrm{~m}$ (C) $2 \mathrm{~m}, 2 \mathrm{~m}$ (D) $8 \mathrm{~m},-8 \mathrm{~m}$

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Key Concepts

Path Length

Path length refers to the total distance traveled along a given route, regardless of direction. It is a scalar quantity that sums up all individual segments of the movement, making it independent of the starting and ending positions. This concept contrasts with displacement, as path length accumulates every curve, twist, or straight segment taken during the motion.

Displacement

Displacement is the vector quantity that represents the overall change in position from the initial point to the final point of a journey. It is calculated as the straight-line distance between the starting and ending locations, taking into account direction. Displacement differs from path length because it does not reflect the actual path taken, but simply the net effect of the movement.

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