The equation of a wave travelling in a string can be written as $y = 3\cos \pi (100\,t - x)$. Its wavelength is .... $cm$
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(b) Comparing the given equation with $y = a\cos (\omega \,t - kx)$
We get $k = \frac{{2\pi }}{\lambda } = \pi ==> \lambda = 2cm$
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The string of a violin has a frequency of $440 \,cps$. If the violin string is shortened by one fifth, its frequency will be changed to ........... $cps$
A tuning fork and an air column whose temperature is $51^{\circ} C$ produce $4$ beats in one second, when sounded together. When the temperature of air column decreases the number of beats per second decreases. When the temperature remains $16^{\circ} C$ only one beat per second is produced. The frequency of the tuning fork is ........... $Hz$
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