stationary wave of string and sonometer questions with solutions

Showing 1–10 of 26 questions

• MCQeasyWave Motionstationary wave of string and sonometer

  A stretched string fixed at both ends vibrates in its nth harmonic. How many displacement nodes and antinodes are present, including the two fixed ends as nodes?

  Options

  • Option A

    n nodes and n+1 antinodes

  • Option B

    n+1 nodes and n antinodes

  • Option C

    2n nodes and n antinodes

  • Option D

    n nodes and 2n antinodes

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• MCQeasyWave Motionstationary wave of string and sonometer

  Two sinusoidal waves of equal amplitude A and equal frequency travel in opposite directions on a string and superpose near a perfectly fixed end at x = 0. Which expression can represent the resulting stationary wave while ensuring that x = 0 is always a node?

  Options

  • Option A

    y = 2A sin(kx) cos(ωt)

  • Option B

    y = 2A cos(kx) cos(ωt)

  • Option C

    y = A sin(kx-ωt)

  • Option D

    y = A cos(kx+ωt)

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• Multi-correctmediumWave Motionstationary wave of string and sonometer

  For the fundamental mode of a sonometer wire, which proportionalities are correct when all other relevant quantities are held fixed?

  Select all that apply

  • Option A

    f ∝ 1/L

  • Option B

    f ∝ √T

  • Option C

    f ∝ 1/√μ

  • Option D

    For wires of the same material, f ∝ 1/d, where d is the wire diameter.

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• IntegermediumWave Motionstationary wave of string and sonometer

  In a sonometer experiment, a 180 g mass gives fundamental frequency 30 Hz. If another mass m gives frequency 50 Hz, find m in grams.

  Your answer

  Check answerShow answer

  13 April 2023 Evening Shift

  Open question & full solution →
• MCQmediumWave Motionstationary wave of string and sonometer

  A string of length L is fixed at one end and perfectly free at the other end. Transverse waves on the string have speed v. Which expression gives the allowed natural frequencies?

  Options

  • Option A

    fₙ = nv/(2L)

  • Option B

    fₙ = (2n-1)v/(4L)

  • Option C

    fₙ = nv/(4L)

  • Option D

    fₙ = (2n+1)v/(2L)

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericmediumWave Motionstationary wave of string and sonometer

  A string of length 0.60 m is fixed at one end and perfectly free at the other. The transverse wave speed is 120 m/s. If its fundamental frequency is N Hz, find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• IntegermediumWave Motionstationary wave of string and sonometer

  A wire of density 8 × 10³ kg m⁻³ is stretched between clamps 0.5 m apart. Its extension is 3.2 × 10⁻⁴ m. If Y = 8 × 10¹⁰ N m⁻², find its fundamental frequency in Hz.

  Your answer

  Check answerShow answer

  JEE Mains11 April 2023Shift 2Evening Shift

  Open question & full solution →
• NumericeasyWave Motionstationary wave of string and sonometer

  A uniform string of length 1.2 m is fixed at both ends. The transverse wave speed on the string is 120 m/s. If its fundamental frequency is N Hz, find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• Multi-correctmediumWave Motionstationary wave of string and sonometer

  A string of length L is fixed at one end and perfectly free at the other. Which statements are correct for its natural modes?

  Select all that apply

  • Option A

    The fixed end is a displacement node.

  • Option B

    The free end is a displacement antinode.

  • Option C

    The allowed frequencies are odd multiples of the fundamental frequency.

  • Option D

    fₙ = (2n-1)v/(4L), where n = 1,2,3,...

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericeasyWave Motionstationary wave of string and sonometer

  A sonometer wire has vibrating length 1 m, tension 100 N and linear mass density 0.01 kg/m. If its fundamental frequency is N Hz, find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →