Here are displacement →time graphs of particle A and B. If VA and VB are velocities of the parti

Name: Problem 221, Chapter 2: JEE Physics
Uploaded: 2022-01-16T14:13:41-08:00
Duration: 1 min 47 s
Channel: Vishal Gupta
Description: Here are displacement →time graphs of particle A and B. If VA and VB are velocities of the particles respectively, then (VA / VB)=…(A) (1 / 3) (B) 3 (C) (1 / √(3)) (D) √(3)

step 1 Hi, here in this given problem there is the displacement time curve in which the displacement is

Question

Here are displacement $\rightarrow$ time graphs of particle $\mathrm{A}$ and $\mathrm{B}$. If $\mathrm{V}_{\mathrm{A}}$ and $\mathrm{V}_{\mathrm{B}}$ are velocities of the particles respectively, then $\left(\mathrm{V}_{\mathrm{A}} / \mathrm{V}_{\mathrm{B}}\right)=\ldots$ (A) $(1 / 3)$ (B) 3 (C) $(1 / \sqrt{3})$ (D) $\sqrt{3}$

   Here are displacement $\rightarrow$ time graphs of particle $\mathrm{A}$ and $\mathrm{B}$. If $\mathrm{V}_{\mathrm{A}}$ and $\mathrm{V}_{\mathrm{B}}$ are velocities of the particles respectively, then $\left(\mathrm{V}_{\mathrm{A}} / \mathrm{V}_{\mathrm{B}}\right)=\ldots$  
(A) $(1 / 3)$
(B) 3
(C) $(1 / \sqrt{3})$
(D) $\sqrt{3}$

JEE Physics

StemEZ 1st Edition

Chapter 2, Problem 221

Instant Answer

Solved by Expert Vishal Gupta

01/16/2022

Step 1

The angle made by particle A with the time axis is 30° and the angle made by particle B with the time axis is 60°. Show more…

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Here are displacement $\rightarrow$ time graphs of particle $\mathrm{A}$ and $\mathrm{B}$. If $\mathrm{V}_{\mathrm{A}}$ and $\mathrm{V}_{\mathrm{B}}$ are velocities of the particles respectively, then $\left(\mathrm{V}_{\mathrm{A}} / \mathrm{V}_{\mathrm{B}}\right)=\ldots$ (A) $(1 / 3)$ (B) 3 (C) $(1 / \sqrt{3})$ (D) $\sqrt{3}$

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Key Concepts

Displacement-Time Graph

A displacement-time graph plots an object's displacement on the vertical axis against time on the horizontal axis. It is used to analyze the motion of an object, where the overall shape and slope of the graph provide insights into its speed and behavior over time.

Slope as Velocity

In a displacement-time graph, the slope represents the object's velocity. A constant slope indicates uniform (constant) velocity, and a steeper slope implies a faster speed, making it a crucial concept for analyzing motion in kinematics.

Ratio of Velocities from Slopes

When comparing the motion of two objects using displacement-time graphs, the ratio of their velocities can be directly determined by the ratio of the slopes of their respective graphs. This concept is vital for understanding relative speeds and for solving problems that involve comparing motion metrics.

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