Class 11th Physics Motion in Plane Physics

Two vector each of magnitude A are inclined at angle q with each other, then magnitude of resultant vector is

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mi>A</mi> <mi>c</mi> <mi>o</mi> <msup> <mrow> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mfrac> <mrow> <mi>θ</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math> </span></p>

Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mn>2</mn> <mi>A</mi> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mfrac> <mrow> <mi>θ</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math> </span></p>

Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mn>2</mn> <mi>A</mi> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>θ</mi> </mrow> </math> </span></p>

Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mi>A</mi> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mfrac> <mrow> <mi>θ</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math> </span></p>

2 Views|Posted 4 months ago

Asked by Shiksha User

1 Answer

Sort by:

A

Answered by

Alok Kumar Singh | Contributor-Level 10

4 months ago

Correct Option - 2

Detailed Solution:

The magnitude of resultant vector (R)

$= \sqrt[]{a^{2} + b^{2} + 2 a b c o s θ}$

here a = b = A

then R = $\sqrt[]{A^{2} + A^{2} + 2 A^{2} c o s θ}$

$= A \sqrt[]{2} \sqrt[]{1 + c o s θ}$

$= \sqrt[]{2} A \sqrt[]{2 c o s^{2} \frac{θ}{2}}$

$= 2 A c o s \frac{θ}{2}$

Upvote

Thumbs Down Icon

Similar Questions for you

Two SHMs in same direction are represented by y1 = asinωt and y2 = asin(ωt + δ). When they superimpose, the initial phase difference of the resultant SHM is

Alok Kumar Singh

The potential energy of a particle of mass 2 kg in motion along the x-axis is given by U = 2 (1 – cos 2x) J, where x is in meters. The period of small oscillations (in s) is

Alok Kumar Singh

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system becomes 3/2 of the initial moment of inertia. The kinetic energy of the system is now

Alok Kumar Singh

If the absolute temperature of hot black body is raised by 2%, by how much percentage rate of heat energy radiated would be increased nearly?

Alok Kumar Singh

Two moles of helium gas are taken over the cycle ABCDA as shown below in P-T diagram. Assuming the gas to be ideal, the work done on the gas in taking from A to B is

Alok Kumar Singh

From A to B the process is isobaric

= W = 2 × R (600 - 350)

= 500 R

Taking an Exam? Selecting a College?

Get authentic answers from experts, students and alumni that you won't find anywhere else.

On Shiksha, get access to

66K

Colleges

|

1.2K

Exams

|

6.9L

Reviews

|

1.8M

Answers

Learn more about...

Physics Motion in Plane 2025

Physics Motion in Plane 2025

View Exam Details

Most viewed information

Share Your College Life Experience

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

or

Ask Current Students, Alumni & our Experts

Quick Actions

Community GuidelinesUser Points System

QuestionsDiscussionsTags

Have a question related to your career & education?

or

See what others like you are asking & answering