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Physics-

General

Easy

Question

Two waves of wavelength 1.00m and 1.01m produces 10 beats in 3s. What is the velocity of the wave?

$150 m s^{- 1}$
$115.2 m s^{- 1}$
$336.6 m s^{- 1}$
$200 m s^{- 1}$

The correct answer is: $336.6 blank m s to the power of negative 1 end exponent$

$v subscript 1 end subscript equals fraction numerator v over denominator lambda subscript 1 end subscript end fraction equals fraction numerator v over denominator 1.00 end fraction blank a n d blank v subscript 2 end subscript equals fraction numerator v over denominator lambda subscript 2 end subscript end fraction equals fraction numerator v over denominator 1.01 end fraction$
$therefore increment v equals v subscript 1 end subscript minus v subscript 2 end subscript equals v open square brackets fraction numerator 1 over denominator 1.00 end fraction minus fraction numerator 0 over denominator 1.01 end fraction close square brackets equals 10$
$o r blank v equals fraction numerator 10 cross times 1 cross times 1.01 over denominator 0.01 end fraction equals 1010 blank f o r blank 3 s$
$therefore v equals 336.6 blank m s to the power of negative 1 end exponent$

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