Which of the following statements about the speed of waves on a string is/ are TRUE?I. The speed depends on the frequency.II. The speed depends on the tension in the string.III. The speed depends on the mass per unit length of the string.
Correct answer: B. II only
- A. I only
- B. II only
- C. I and III
- D. II and III
Explanation
The speed of a wave on a string is given by the equation v = √(T/μ), where v is the speed, T is the tension in the string, and μ is the mass per unit length of the string. Therefore, the speed depends on the tension and the mass per unit length, but not on the frequency. Hence, option II only is the correct answer. Options I and III incorrectly state that frequency affects speed, which it does not.
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About Wave Speed
Wave speed is the rate at which a disturbance or wave pattern travels through a medium, given by v = fλ, where f is frequency and λ is wavelength. Questions examine how speed changes between media, the relation among frequency, wavelength and period, and why wave speed is not the same as particle vibration speed.
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