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In a guitar, two strings and made of same material are slightly out of tune and produce beats of frequency . When tension in is slightly decreased, the beat frequency increases to . If the frequency of is , the original frequency of will be:
(a)
(b)
(c)
(d)

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A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of , two successive resonances are produced at $20$ $ \mathrm{cm}$ and $73$ $\mathrm{cm}$ of column length. If the frequency of the tuning fork is $320$ $ \mathrm{Hz}$, the velocity of sound in air at is,

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