Verified Solution • 2025–26 Session moderate

QJEEM19Phd28e: JEE Main 2019 Physics - Class 11 JEEM19Phd28e Solution: A string is clamped at both the ends and it is vibrating in its …

A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin(0.157x) cos(200pt). The length of the string is : (All quantities are in SI units.)

Multiple Choice Options

  • A 60 m
  • B 20 m
  • C 80 m
  • D 40 m

Step-by-Step Verified Solution

4th harmonic

4λ2=l;2λ=l

From equation 2πλ=0.157

λ = 40 ; l = 2λ = 80 m

Related Learning Resources & Exam Preparation