Question

A long string, having a cross-sectional area 0.80 mm² and density 12.5 g/cm³ is subjected to a tension of 64 N along the x-axis. One end of the string is attached to a vibrator moving in transverse direction. At t = 0, the source is at maximum displacement y = 1 cm. Find the speed of wave travelling on the string.

पर्याय

• 40 m/s

• 80 m/s

• 20 m/s

• 100 m/s

Answer 1

80 m/s

Explanation:

Cross-sectional area of string (A)

0.8 × 10^–6 m²,

Density of string (d) = `12.5xx10^-3/10^-6`

= 12.5 × 10³ Kg/m³

Tension in the string (T) = 64 N

Velocity of the wave (ν) = `sqrt"T"/mu =sqrt"T"/(rho"A")`

= `sqrt(64/(12.5xx10^3xx0.8xx10^-16))`

= `sqrt((32xx10^3)/5)`

= `sqrt(32xx200)`

= 80 m/s