Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.7k views
in Physics by (70.5k points)

A plane wave propagates along positive x-direction in a homogenous medium of density ρ = 200kgm-3. Due to propagation if the wave medium particles oscillate. Space density of this oscillation energy is E =  0.16Jπ2/m-3 and maximum shear strain produced in the medium is ϕ= 8π x 10-5. If at an instant phase difference between two particles located at points (1m, 1m, 1m) and (2m, 2m, 2m) is Δθ = 144°, assuming at t = 0 phase of particles at x = 0 to be zero, 

(i) calculate equation of the wave and 

(ii) state whether the wave is longitudinal or transverse.

1 Answer

+1 vote
by (70.7k points)
selected by
 
Best answer

Since, the wave is a plane travelling wave, therefore, intensity at every point will be the same.

Since, initial phase of particles at x = 0 is zero and the wave is travelling along positive x direction, therefore, equation of the wave will be of the form

Solving equations (2) and (3), v = 500ms-1 

Since, the wave is travelling along positive x-direction, therefore, phase difference between particles at points (1m, 1m, 1m) and (2m, 2m, 2m) is due to difference between their x coordinates only

Since, due to propagation of the wave, shear strain is produced in the medium, therefore, the wave is a plane transverse wave. 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...