A wave y=a ( t-k x) on a string meets with another wave produ

Question

Medium

Solving time: 3 mins

A wave $y = a sin (ω t - k x)$ on a string meets with another wave producing a node at $x = 0$ . Then, the equation of the unknown wave is
(a) $y = a sin (ω t + k x)$
(b) $y = - a sin (ω t + k x)$
(c) $y = a sin (ω t - k x)$
(d) $y = - a sin (ω t - k x)$

Views: 5,783 students

Updated on: May 1, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2002

Text solutionVerified

Exp. (b)
Equation of a wave,

y = a sin (ω t - k x)

....(i)
Let equations of another wave may be

y = a sin (ω t + k x)

......(ii)

y = - a sin (ω t + k x)

.....(iii)
If Eq. (i) propagates with Eq. (ii), then we get

y = 2 a cos k x sin ω t

.....(iv)
If Eq. (i), propagates with Eq. (iii), then we get

y = - 2 a sin k x cos ω t

....(v)
After putting

x = 0

in Eqs. (iv) and (v) respectively, we get

y = 2 a sin ω t

and

y = 0

Hence, Eq. (iii) is an equation of unknown wave.

Was this solution helpful?

Report

Video solutions (3)

Learn from their 1-to-1 discussion with Filo tutors.

1 mins

Uploaded on: 1/21/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Dr Gaurav Verma

Total classes on Filo by this tutor - 9,786

Teaches : Physics, Biology, Organic Chemistry

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

Report

11 mins

Uploaded on: 5/1/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Mohit Bandole

Total classes on Filo by this tutor - 2,506

Teaches : Physics, Mathematics, Biology

Connect instantly with this tutor

Connect now

Notes from this class (3 pages)

Download

Was this solution helpful?

Report

3 mins

Uploaded on: 3/28/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Shashank Kumar

Total classes on Filo by this tutor - 1,369

Teaches : Physics, Mathematics, Inorganic Chemistry

Connect instantly with this tutor

Connect now

Notes from this class (3 pages)

Download

Was this solution helpful?

135

Report

Found 6 tutors discussing this question

Noah Discussed

A wave

y = a sin (ω t - k x)

on a string meets with another wave producing a node at

x = 0

. Then, the equation of the unknown wave is
(a)

y = a sin (ω t + k x)

(b)

y = - a sin (ω t + k x)

(c)

y = a sin (ω t - k x)

(d)

y = - a sin (ω t - k x)

11 mins ago

Discuss this question LIVE

11 mins ago

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A wave $y = a sin (ω t - k x)$ on a string meets with another wave producing a node at $x = 0$ . Then, the equation of the unknown wave is (a) $y = a sin (ω t + k x)$ (b) $y = - a sin (ω t + k x)$ (c) $y = a sin (ω t - k x)$ (d) $y = - a sin (ω t - k x)$
Updated On	May 1, 2023
Topic	Waves
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	396
Avg. Video Duration	5 min

A wave $y = a sin (ω t - k x)$ on a string meets with another wave producing a node at $x = 0$ . Then, the equation of the unknown wave is
(a) $y = a sin (ω t + k x)$
(b) $y = - a sin (ω t + k x)$
(c) $y = a sin (ω t - k x)$
(d) $y = - a sin (ω t - k x)$

Text solutionVerified

Video solutions (3)

Questions from JEE Mains 2002 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Waves in the same exam

Practice more questions from Waves

Practice questions on similar concepts asked by Filo students

A wave y=asin(ωt−kx) on a string meets with another wave producing a node at x=0. Then, the equation of the unknown wave is(a) y=asin(ωt+kx)(b) y=−asin(ωt+kx)(c) y=asin(ωt−kx)(d) y=−asin(ωt−kx)

Text solutionVerified

Video solutions (3)

Questions from JEE Mains 2002 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Waves in the same exam

Practice more questions from Waves

Practice questions on similar concepts asked by Filo students

Related books for questions on Waves

Previous year question papers

A wave $y = a sin (ω t - k x)$ on a string meets with another wave producing a node at $x = 0$ . Then, the equation of the unknown wave is
(a) $y = a sin (ω t + k x)$
(b) $y = - a sin (ω t + k x)$
(c) $y = a sin (ω t - k x)$
(d) $y = - a sin (ω t - k x)$