The following options list characteristic of five different waves as they travel through different mediums.
Which option describes the wave with the greatest speed?

w a v e l e n g t h = 10 m m, F r e q u e n c y = 5.0 H z, A m p l i t u d e = 0.50 m

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w a v e l e n g t h = 2.0 m m, F r e q u e n c y = 2.0 H z, A m p l i t u d e = 1.0 m

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w a v e l e n g t h = 2.0 m m, F r e q u e n c y = 1.0 H z, A m p l i t u d e = 5.0 m

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w a v e l e n g t h = 1.0 m m, F r e q u e n c y = 4.0 H z, A m p l i t u d e = 3.0 m

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w a v e l e n g t h = 10 m m, F r e q u e n c y = 3.0 H z, A m p l i t u d e = 1.0 m

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Solution

The correct option is E $w a v e l e n g t h = 10 m m, F r e q u e n c y = 5.0 H z, A m p l i t u d e = 0.50 m$
Speed of the wave $v = ν λ$ $m m / s$
(A) : $v_{A} = 5.0 \times 10 = 50$ $m m / s$
(B) : $v_{B} = 2.0 \times 2.0 = 4.0$ $m m / s$
(C) : $v_{C} = 1.0 \times 2.0 = 2.0$ $m m / s$
(D) : $v_{D} = 4.0 \times 1.0 = 4.0$ $m m / s$
(E) : $v_{E} = 3.0 \times 10 = 30$ $m m / s$
Thus correct answer is option A.

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