question based on string wave questions with solutions

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• MCQmediumWave Motionquestion based on string wave

  A sinusoidal transverse wave y = A sin(kx-ωt) travels along a string of linear mass density μ with wave speed v. Which expression gives the average rate P̄ at which energy is transported past a fixed point of the string?

  Options

  • Option A

    P̄ = μω²A²v

  • Option B

    P̄ = ½μω²A²v

  • Option C

    P̄ = ½μωA²v²

  • Option D

    P̄ = ½μA²v

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• NumericeasyWave Motionquestion based on string wave

  A transverse wave travels along a string with speed 40 m/s. The string has linear mass density 0.025 kg/m. If the tension in the string is N newtons, find N.

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• MCQeasyWave Motionquestion based on string wave

  Two strings of the same material and under the same tension have circular radii R and R/2. If transverse wave speeds are v₁ and v₂ respectively, the ratio v₂/v₁ is:

  Options

  • Option A

    √2

  • Option B

    2

  • Option C

    8

  • Option D

    4

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• NumericeasyWave Motionquestion based on string wave

  A uniform stretched string has tension 100 N and linear mass density 4×10⁻² kg/m. If the transverse wave speed is N m/s, find N.

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• NumericmediumWave Motionquestion based on string wave

  A sinusoidal transverse wave on a string has amplitude 2 cm and frequency 5 Hz. If the maximum transverse particle speed is Nπ/5 m/s, find N.

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• IntegermediumWave Motionquestion based on string wave

  The fundamental frequency of a string fixed at both ends is 50 Hz. Its mass is 18 g and linear mass density is 20 g m⁻¹. Find the transverse-wave speed in m s⁻¹.

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• NumericeasyWave Motionquestion based on string wave

  The tension in a uniform string is increased from T to 9T while the linear mass density remains unchanged. If the initial wave speed is v and the new wave speed is Nv, find N.

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• MCQmediumWave Motionquestion based on string wave

  A wave travelling on a string is y = sin(20πx + 10πt), with x and t in SI units. The minimum distance between two points having the same oscillating speed is:

  Options

  • Option A

    5.0 cm

  • Option B

    20 cm

  • Option C

    10 cm

  • Option D

    2.5 cm

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• NumericmediumWave Motionquestion based on string wave

  Two sinusoidal waves travel separately on the same stretched string. Wave 1 has amplitude A and frequency f, while wave 2 has amplitude 3A and frequency 2f. If the ratio of their average powers is P̄₂/P̄₁ = N, find N.

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• A/RmediumWave Motionquestion based on string wave

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  Increasing the tension of a stretched string increases the wavelength of a wave generated on it by a source whose frequency remains fixed.

  Reason

  The wave speed is v = √(T/μ), and for fixed source frequency λ = v/f.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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