A string in musical instrument is $50 cm$ long and its fundamental frequency is $800 Hz.$ If a frequency of $1000 Hz$ is to be produced, then required length of string is ..... $cm$
AIIMS 2002, Medium
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(c) ${n_1}{l_1} = {n_2}{l_2} \Rightarrow 800 \times 50 = 1000 \times {l_2} \Rightarrow {l_2} = 40$$cm$
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