Physics · Transverse waves

JEE Main 2025 — 7 April, Evening Shift — Question 63

The equation of a wave travelling on a string is y=sin⁡y=\sin [20πx+10πt][20 \pi x+10 \pi t], where xx and tt are distance

and time in SI units. The minimum distance between two points having the same oscillating speed is :

  1. Option A:

    10 cm

  2. Option B:

    2.5 cm

  3. Option C:

    20 cm

  4. Option D:

    5.0 cm

    Correct

Answer: D

Step-by-step solution

k=20π=2πλk=20 \pi=\frac{2 \pi}{\lambda} λ=10 cm\lambda=10 \mathrm{~cm} Minimum distance

=λ2=5 cm=\frac{\lambda}{2}=5 \mathrm{~cm}

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Transverse waves
Topic
Introduction, wave parameters and wave Equation
The equation of a wave travelling on a string is y=sin [20 π x+10 π… | JEE Main 2025 PYQ with Solution · DhiX AI