Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Waves and Sound

NEET 2008 · Physics · Waves and Sound

Two points are located at a distance of 10 ~m and 15 ~m from the...

Two points are located at a distance of 10 m10 \mathrm{~m} and 15 m15 \mathrm{~m} from the source of oscillation. The period of oscillation is 0.05 s0.05 \mathrm{~s} and the velocity of the wave is 300 m/s300 \mathrm{~m} / \mathrm{s}. What is the phase difference between the oscillations of two points?

Options

  1. Aπ3\frac{\pi}{3}
  2. B2π3\frac{2 \pi}{3}
  3. Cπ\pi
  4. Dπ6\frac{\pi}{6}

Correct answer

B. 2π3\frac{2 \pi}{3}

Step-by-step solution

Key Idea : Phase difference =2πλ\frac{2 \pi}{\lambda} \times  path difference \text{ path difference } Path difference between two points, Δx=15−10=5 mTimeperiod,\Delta x=15-10=5 \mathrm{~m} Time period,T=0.05  s\mathrm{~s}\Rightarrowfrequencyfrequencyv=1T=10.05=\frac{1}{T}=\frac{1}{0.05}=20  Hz\mathrm{~Hz} Velocity, y=300 m/s∴y=300 \mathrm{~m} / \mathrm{s}\therefore Wavelength, λ=vv=30020=15 mHence,phasedifference\lambda=\frac{v}{v}=\frac{300}{20}=15 \mathrm{~m} Hence, phase differenceΔϕ=2πλ×Δx=2π15×5=2π3\begin{aligned} \Delta \phi & =\frac{2 \pi}{\lambda} \times \Delta x \\ & =\frac{2 \pi}{15} \times 5=\frac{2 \pi}{3} \end{aligned}$
Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

For the given wave equation y = 10 π((x)/(4) + (t)/(2)) , the CORRECT statement is (… MHT CET Medical 2026The source is emitting sound of frequency 'n'. A source and a listener both are moving… MHT CET Medical 2026Two uniform strings X and Y made of same material made to vibrate under same tension. If… MHT CET Medical 2026A simple harmonic progressive wave is represented as Y = 0.04 π (2t - 0.02x) m. At a… MHT CET Medical 2026Two waves having same amplitude A , angular frequency ω and propagation constant k… MHT CET Medical 2026Identify the CORRECT statement on beats (A) The amplitude of beats is always constant.… MHT CET Medical 2026An organ pipe closed at one end produces 5^ th overtone of an air column. It is found… MHT CET Medical 2026The speed of the transverse wave on the stretched string under tension T_1 is v_1 . If… MHT CET Medical 2026 Full Waves and Sound list All NEET PYQs