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NCERT Class 11 Physics Solutions: Chapter 15 β Waves-Part 8
Question 15.14:
A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45 Hz. The mass of the wire is and its linear mass density is what is
The speed of a transverse wave on the string, and the tension in the string?
Answer:
Mass of the wire,
Linear mass density,
Frequency of vibration,
β΄ Length of the wire,
The wavelength of the stationary wave is related to the length of the wire by the relation:
Where, Number of nodes in the wire.
For fundamental node,
The speed of the transverse wave in the string is given as:
The tension produced in the string is given by the relation:
Question 15.15:
A meter-long tube open at one end, with a movable piston at the other end, shows resonance with a fixed frequency source (a tuning fork of frequency ) when the tube length is . Estimate the speed of sound in air at the temperature of the experiment. The edge effects may be neglected.
Answer:
Frequency of the turning for
Since the given pipe is attached with a piston at one end, it will behave as a pipe with one end closed and the other end open, as shown in the given figure:
Such a system produces odd harmonics. The fundamental note in a closed pipe is g by the relation:
Where,
Length of the pipe,
The speed of sound is given by the relation: