Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET Medical202624 April 2026Evening ShiftPhysicsWaves and SoundActual

A uniform rope of length L and mass m₁ hangs vertically from a rigid support. A block of mass m₂ is attached to the free end of the rope. A transverse pulse of wavelength ₁ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is ₂ . The ratio ₂ ₁ is

Options

  1. Am₁ + m₂ m₂
  2. Bm₂ m₁
  3. Cm₁ + m₂ m₁
  4. Dm₁ m₂

Correct answer

A. m₁ + m₂ m₂

Step-by-step solution

The velocity of a transverse wave on a string is given by v = T , where T is the tension and is the mass per unit length. Since the frequency f of the wave remains constant as it travels up the rope, the wavelength is proportional to the wave velocity v . Thus, T . At the lower end of the rope, the tension is due to the attached block of mass m₂ . T₁ = m₂ g At the upper end of the rope, the tension is due to the mass of the rope and the attached block. T₂ = (m₁ + m₂) g The ratio of the wavelengths is given by: ₂ ₁

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

For the given wave equation y = 10 ( x 4 + t 2 ) , the CORRECT statement is ( where x is in metre and time t is in second.) 2026The source is emitting sound of frequency 'n'. A source and a listener both are moving towards each other with a speed equal to ( V 3 ) , where V is the speed of sound. The frequen 2026Two uniform strings X and Y made of same material made to vibrate under same tension. If the second overtone of string X is equal to the third overtone of string Y and the radius o 2026A simple harmonic progressive wave is represented as Y = 0.04 (2t - 0.02x) m. At a given instant of time, the phase difference between two particles 10 m apart is (in radian) 2026Two waves having same amplitude A , angular frequency and propagation constant k , traveling in opposite directions, have a phase difference of 60^ . If they interfere with each ot 2026Identify the CORRECT statement on beats (A) The amplitude of beats is always constant. (B) Beats are produced when two waves have the same frequency. (C) Beat frequency is the aver 2026An organ pipe closed at one end produces 5^ th overtone of an air column. It is found that air in the pipe is vibrating with x nodes and y antinodes. The value of x and y is 2026The speed of the transverse wave on the stretched string under tension T₁ is v₁ . If the tension in the string is increased by T₁ , the speed of the transverse wave is v₂ . If is t 2026 Full Waves and Sound list All MHT CET Medical PYQs