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Two vibrating tuning forks produce waves given by `y_(1)=4 sin 53 pi t, y_(2)=2 sin 50 pi t` If they are held near the ear of a person, the person will hearA. 3 beats `s^(-1)` with intensity ratio of maximum to minima equal to 9B. 3 beats `s^(-1)` with intensity ratio of maxima to minima equal to 2C. 6 beats `s^(-1)` with intensity ratio of maxima to minima equal to 2D. 6 beats `s^(-1)` with intensity ratio of maxima to minima equal to 9 |
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Answer» Correct Answer - B `y_(1) = 4 sin 53pi t and y_(2) = 2 sin 50pi t` `:. A_(1) = 4 f_(1) = 53` `A_(2) = 2 f_(2) = 50` `:.` Beat `= 53 - 50 = 3 "sec"^(-1)` `(l_("max"))/(l_("min")) = ((A_(1) + A_(2))^(2))/((A_(1) - A_(2))^(2)) = ((4 + 2)^(2))/((4 -2)^(2)) = (36)/(4) = 9 : 1` |
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