JEE MAIN - Physics (2021 - 25th February Evening Shift - No. 21)
The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be __________%.
Answer
2
Explanation
Speed of transverse wave is
$$V = \sqrt {{T \over \mu }} $$
$$\ln V = {1 \over 2}\ln T - {1 \over 2}\ln \mu $$
$${{\Delta V} \over V} = {1 \over 2}{{\Delta T} \over T}$$
$$ = {1 \over 2} \times 4$$
$$ \Rightarrow $$ $${{\Delta V} \over V} = 2\% $$
$$V = \sqrt {{T \over \mu }} $$
$$\ln V = {1 \over 2}\ln T - {1 \over 2}\ln \mu $$
$${{\Delta V} \over V} = {1 \over 2}{{\Delta T} \over T}$$
$$ = {1 \over 2} \times 4$$
$$ \Rightarrow $$ $${{\Delta V} \over V} = 2\% $$
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