Sound reflection & controversy in ray diagram of concave mirror

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SUMMARY

The discussion focuses on sound reflection principles and the ray diagram for concave mirrors. It confirms that sound reflects according to the laws of reflection, where maximum sound is heard when the angle of incidence equals the angle of reflection. The user encountered issues with drawing ray diagrams for concave mirrors, specifically when placing the object at the center of curvature, resulting in images forming closer to the object rather than at the expected point. The response clarifies that the user may have incorrectly traced rays for a hemispherical mirror instead of a parabolic mirror, which affects the focal point.

PREREQUISITES
  • Understanding of the laws of reflection
  • Familiarity with ray diagrams for concave mirrors
  • Knowledge of spherical and parabolic mirror properties
  • Basic principles of sound reflection
NEXT STEPS
  • Study the laws of reflection in detail
  • Learn how to accurately draw ray diagrams for concave mirrors
  • Research the differences between spherical and parabolic mirrors
  • Explore sound reflection techniques in acoustics
USEFUL FOR

Physics students, educators, and anyone interested in optics and acoustics will benefit from this discussion, particularly those studying the behavior of sound and light in reflective surfaces.

Laven
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I've two questions here:-
1) Sound reflects it is said using laws of reflection of light.So,it means we hear max. sound when angle of incidence is equal to angle of reflection,right?& if not equal then what do we hear or not?
I guess we hear lesser than max.sound when the angles are not equal.

2) Well,I've drawn ray diagram for concave mirror keeping object exactly at center of curvature according to book the image should form at the same point i.e center of curvature.But it won't, I've tried many times & quite seriously but doesn't forms image at the center of curvature.The image forms ahead of the object but closer but not exactly at the point.
What's this am i wrong somewhere.Do help me.

You are appreciated for your reply.
Thanks in advance.
 
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Sorry for the long delay.

I suspect you traced parallel rays for a hemispherical mirror rather than for a parabolic mirror.
A parabolic mirror brings rays that are parallel to the axis to a single focal point.

If you stand with your head at the centre of a spherical mirror you can hear your own voice, louder, but slightly delayed. You can approximate the middle of a parabolic reflector by using a small part of a sphere near the axis, the focal point is then a half radius from the vertex.

https://en.wikipedia.org/wiki/Curved_mirror#Mirror_shape
https://en.wikipedia.org/wiki/Curved_mirror#Concave_mirrors
 

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