Physics Circle home Student Login

Home›Chapters›Wave Motion PYQs›Wave Basics & Properties of Sound›Question 18

JEE Main 2024 (30 Jan, Shift 2) · Wave Basics & Properties of Sound

Wave Basics & Properties of Sound question from JEE Main 2024 (30 Jan, Shift 2)

Q18JEE Main 2024 · 30 JAN · SHIFT 2Easy

Wave Basics & Properties of Sound

A point source is emitting sound waves of intensity 16×10−8 Wm−216 \times 10^{-8}\text{ Wm}^{-2} at the origin. The difference in intensity (magnitude only) at two points located at distances of 2 m2\text{ m} and 4 m4\text{ m} from the origin respectively will be _________ ×10−8 Wm−2\times 10^{-8}\text{ Wm}^{-2}.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 3

  1. Take the given 16×10−816 \times 10^{-8} W m−2^{-2} as the intensity at 11 m from the source; I∝1r2I \propto \frac{1}{r^2}.
  2. I2=1622×10−8=4×10−8I_2 = \frac{16}{2^2} \times 10^{-8} = 4 \times 10^{-8} W m−2^{-2}
  3. I4=1642×10−8=1×10−8I_4 = \frac{16}{4^2} \times 10^{-8} = 1 \times 10^{-8} W m−2^{-2}
  4. Difference =3×10−8= 3 \times 10^{-8} W m−2^{-2}, so the answer is 33.
Report a mistake

More questions on Wave Basics & Properties of Sound