A block of mass 1, kg is hanging vertically f | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The speed of a transverse wave on a string is given by the formula:$v = \sqrt{\frac{T}{\mu}}$ ..........$(1)$where,$T$ is the tension in the strin

Vedclass · Accepted Answer

$0.01$

Vedclass · Answer

(D) The speed of a transverse wave on a string is given by the formula:$v = \sqrt{\frac{T}{\mu}}$ ..........$(1)$where,$T$ is the tension in the string and $\mu$ is the mass per unit length (linear density).In this problem:The tension in the string $(T)$ is due to the weight of the block hanging at the end:$T = m 	imes g = 1\, kg 	imes 10\, m/s^2 = 10\, N$.The mass per unit length is given as $\mu = 0.001\, kg/m$.Substituting these values into formula $(1)$:$v = \sqrt{\frac{10}{0.001}} = \sqrt{10000} = 100\, m/s$.The time taken $(t)$ by the pulse to travel the length $(L = 1\, m)$ of the string is:$t = \frac{L}{v} = \frac{1\, m}{100\, m/s} = 0.01\, s$.

$A$ block of mass $1\, kg$ is hanging vertically from a string of length $1\, m$ and mass per unit length $\mu = 0.001\, kg/m$. $A$ small pulse is generated at its lower end. The pulse reaches the top end in approximately .... $s$.

Similar Questions

$A$ transverse wave travels on a taut steel wire with a velocity of $v$ when the tension in it is $2.06 \times 10^{4} \; N$. When the tension is changed to $T$,the velocity changes to $v/2$. The value of $T$ is close to:

The given graph illustrates a transverse wave travelling on a string at a particular instant,and the points $P, Q, R$ and $S$ represent elements of the string. Which of the following statements about the motion of the elements is correct?

The fundamental frequency of vibration of a string stretched between two rigid supports is $50\,Hz$. The mass of the string is $18\,g$ and its linear mass density is $20\,g/m$. The speed of the transverse waves produced in the string is $..........\,m/s$.

Write the equation for the speed of a transverse wave on a stretched string.

$A$ string is producing transverse vibration whose equation is $y = 0.021 \sin(x + 30t)$,where $x$ and $y$ are in meters and $t$ is in seconds. If the linear density of the string is $1.3 \times 10^{-4} \ kg/m$,then the tension in the string in $N$ will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module