Sound WavesHard
Question
A string of length 0.4 m and mass 10-2 is tightly clamped at its ends. The tension in the string is 1.6 N. Identical wave pulse are produced at one end at equal intervals of time ᐃt The minimum value of ᐃt , which allows constructive interference between successive pulse, is
Options
A.0.05 s
B.0.10 s
C.0.20 s
D.0.40 s
Solution
Mass per unit length of the string,
m =
= 2.5 × 10-2 kg/m
∴ Velocity of wave in the string,
v = 8 m/s
For constructive interference between successive pulse
ᐃtmin =
= 0.10
(After two reflections, the wave pulse is in same phase as it was produced, since in one reflection its phase changeds by π, and if at this moment next identical pulse is produced, then constructive interference will be obtained.)
m =
= 2.5 × 10-2 kg/m∴ Velocity of wave in the string,
v = 8 m/s
For constructive interference between successive pulse
ᐃtmin =
= 0.10 (After two reflections, the wave pulse is in same phase as it was produced, since in one reflection its phase changeds by π, and if at this moment next identical pulse is produced, then constructive interference will be obtained.)
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