To increase the frequency from $100 Hz$ to $400 Hz$ the tension in the string has to be changed by ..... $times$
$4$
$16$
$20$
None of these
(b) $n \propto \sqrt T $
A tuning fork gives $4$ beats with $50\, cm$ length of a sonometer wire if the length of the wire is shortened by $1\, cm$. the no. of beats still the same. The frequency of the fork is -…………. $\mathrm{Hz}$
A string is stretched between two fixed points separated by $75\,cm$ . It is observed to have resonant frequencies of $420\,Hz$ and $315\,Hz$ . There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is ….. $Hz$
Two wires are in unison. If the tension in one of the wires is increased by $2\%, 5$ beats are produced per second. The initial frequency of each wire is …. $Hz$
A light wave travels through three transparent materials of equal thickness. Rank in order, from the highest to lowest, the indices of refraction $n_1, n_2$ and $n_3$.
A string fixed at one end is vibrating in its second overtone. The length of the string is $10\ cm$ and maximum amplitude of vibration of particles of the string is $2\ mm$ . Then the amplitude of the particle at $9\ cm$ from the open end is
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