A radar is able to detect the reflected waves from an enemy aeroplane after a time interval of 0.02 milliseconds. If the velocity of the waves is $3 \times 108 m s^{- 1}$ , calculate the distance of the plane from the radar.

3 km

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4 km

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2 km

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5 km

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Solution

The correct option is A 3 km
Let d m be the distance of the aeroplane from the radar. Then, distance travelled by the reflected sound to reach the radar = 2 d m Time=0.02millisecond=0.021000s=0.02×10−3s∴Distance=velocity×time⇒2d=(3×108)×(0.02×10−3)m⇒d=0.06×1052m=6100×2×105m = 3000 m = 3 km.

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A radar is able to detect the reflected waves from an enemy aeroplane after a time interval of 0.02 milliseconds. If the velocity of the waves is 3×108ms−1, calculate the distance of the plane from the radar.

A radar is able to detect the reflected waves from an enemy aeroplane after a time interval of 0.02 milliseconds. If the velocity of the waves is $3 \times 108 m s^{- 1}$ , calculate the distance of the plane from the radar.