A string of mass 3 kg is under tension of 400 N The length of the stretched string is 25 cm . If the transverse jerk is stuck at one end of the string how long does the disturbance take to reach the other end?

Question

A string of mass 3 kg is under tension of 400 N The length of the stretched string is 25 cm . If the transverse jerk is stuck at one end of the string how long does the disturbance take to reach the other end? (A)  0.047 s  (B)  0.055 s  (C)  0.034 s  (D)  0.065 s

Tardigrade Admin · Accepted Answer

Speed of the wave =√(T/μ )=√(500/m/I) =√((400/3)/0.25)=√(400× 25/3× 100) =5.77 ⇒ So time taken by disturbance to reach after end =(0.25/5.77)=0.043 s=0.47

Q. A string of mass $3 k g$ is under tension of $400 N$ The length of the stretched string is $25 c m$ . If the transverse jerk is stuck at one end of the string how long does the disturbance take to reach the other end?

$0.047 s$

$0.055 s$

$0.034 s$

$0.065 s$

Speed of the wave $= \frac{T}{μ} = \frac{500}{m / I}$
$= \frac{\frac{400}{3}}{0.25} = \frac{400 \times 25}{3 \times 100}$
$= 5.77$ $\Rightarrow$ So time taken by disturbance to reach after end
$= \frac{0.25}{5.77} = 0.043 s = 0.47$

Q. A string of mass 3kg is under tension of 400N The length of the stretched string is 25cm . If the transverse jerk is stuck at one end of the string how long does the disturbance take to reach the other end?

0.047s

0.055s

0.034s

0.065s