Question 80: Waves

Question

The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be __________%.

Accepted Answer

Speed of transverse wave is
$$V = \sqrt {{T \over \mu }} $$
$$\ln V = {1 \over 2}\ln T - {1 \over 2}\ln \mu $$
$${{\Delta V} \over V} = {1 \over 2}{{\Delta T} \over T}$$
$$ = {1 \over 2} 	imes 4$$
$$ \Rightarrow $$ $${{\Delta V} \over V} = 2\% $$

Waves

The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be __________%.

Integer / Numeric Answer Type