Udit Gupta Ex-VMC Physics Faculty
WELCOME TO THE 4TH LESSON IN WAVES. The sub-topics include: Reflection & transmission of waves and 1 numerical. Visit: unacademy.com/plus to register for SPECIAL CLASSES.
REFLECTION AND TRANSMISSION OF WAVES A travelling wave, at a rigid or denser boundary, is reflected with a phase reversal but the reflection at an open boundary (rarer medium) takes place without any phase change. The transmitted wave is never inverted, but propagation constant k is changed.
REFLECTION AND TRANSMISSION OF WAVES Amplitude of reflected wave and transmitted waves v1 and v2 are speeds of the incident wave and reflected wave in mediums respectively then, 7 1 1 2 2 Incident wave Incident wave y Ai sin(ot -kx) Transmitted wave Transmitted wave A sin(ot-kx) Reflected wave Reflected wave y, #Ar sin(cot + klx) Reflection at rarer boundary Reflection at denser boundary
NUMERICAL 2 A harmonic wave is travelling on string 1. At a junction with string 2 it is partly reflected and partly transmitted. The linear mass density of the second string is four times that of the first string, and that the boundary between the two strings is at x 0. If the expression for the incident wave is, What are the expressions for the transmitted and the reflected waves in terms of Ai, k1 and w.
SOLUTION 2 Since v-./T/ , T2-T1 and 2-4 We have, V2 V1/2 The frequency does not change, that is: w12 Also, because k /v, the wave numbers of the harmonic waves in the two strings are related by, ! 2
SOLUTION 2 The amplitudes are, V2-V1 2+v1 3 Now with above equations, transmitted wave can be written as: 2 For reflected wave, we can say, 3
THANKS FOR WATCHING RATE, REVIEW& ENROL TO SPREAD THE LOVE CONTACT ME THROUGH MESSAGES. COMMENTS OR VIDEO CALLS.
196.1k 4 views Udit Gupta #6 Educator in IIT JEE MNNIT Allahabad graduate, Ex-VMC faculty of Physics, Star Educator, Physics enthusiast 21.6k 4 52 Message R Followers Following Courses Video call with Udit Schedule a call for 200 New feature Video Call All courses (52) HINDI PHYSICS MOCK QUESTIONS (Hindi) Problems of Various Topics to Encounter IIT JEE Mains 2019 5.0-216 6 views 18 hours ago Udit Gupta 34 HINDI PHYSICS PREVIOUS YEAR QUESTION (Hindi) Practice Set in DC Circuits for IT JEE Mains 2019
C i https:/ 13 Other bookmars unacademy Home xQ Search Courses Topics &Educston minutes today Udit Search Courses, Topics&Educaton 10 creaits Udit Gupta vERIED MNNIT Allahabad graduate, Ex-VMC faculty of Physics, Star Educator, Physics enthusiast 36,068 Views in last 30 days 196,048 Litetime View 52 Courses 21.6k Folower 4 Following Question 1-Sigle Correce-Mains 2016 Problem-1 y Udit Gupta By Udit Gupta By Udit Gupta (Hindi) Problems of Various Topics to Encounter IIT JEE Mains.. (Hindi) Practice Set in DC Circuits for IIT JEE Mains 2019 (Hindi) Electrostatics Practice Questions for Mains 2019 Log onto unacademy.com/user/uditl3
A Mechanical Engineer from NIT Allahabad here to help learners with physics. Also a Star ⭐ educator.