Question

the tension in a piano wire is increased by 25% its frequency becomes...... time the original frequency.​

Answer 1

we know that

$v \infty \sqrt{t}$

where t is tension

v is frequency

hence if tension is increased by 25%

i.e. t÷4 +t

=5t÷4

new frequency v(n)

$v(n) = k \sqrt{5t \div 4}$

$v(n) = v \sqrt{5 \div 4}$

therefore ans is frequency becomes

$\sqrt{5} \div 4times \: the \: original \: frequency$