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Two waves of equal frequency and amplitude are travelling in opposite directions along a stretchedstring. When they meet, they form a stationary wave with three nodes and two antinodes.The frequency of both waves is doubled and a new stationary wave is formed.How many antinodes are there in the new stationary wave?A 1 B 2 C 3 D 4

Question

Two waves of equal frequency and amplitude are travelling in opposite directions along a stretchedstring. When they meet, they form a stationary wave with three nodes and two antinodes.The frequency of both waves is doubled and a new stationary wave is formed.How many antinodes are there in the new stationary wave?A 1 B 2 C 3 D 4

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Solution

The number of antinodes in a stationary wave is determined by the frequency of the waves that form it. When the frequency of the waves is doubled, the number of antinodes in the resulting stationary wave is also doubled. Therefore, if the original stationary wave had two antinodes, the new stationary wave formed when the frequency of the waves is doubled will have 4 antinodes. So, the answer is D 4.

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