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Q.

A plane flies from east to west over the equator. In order that the passenger may see the sun motionless, the speed (kmph) of the plane should be

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a

1256 {kmh}^{- 1}

b

1489 {kmh}^{- 1}

c

1667 {kmh}^{- 1}

d

182 {kmh}^{- 1}

answer is C.

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Detailed Solution

To get the sun motionless the plane has to move with same speed equal to

that of earth from E to west i.e.,

Question Image

Speed of earth

$v_{e} = R ω_{e}$

$= 6400 \times \frac{2 π^{c}}{T} = 6400 \times \frac{2 \times 3.14}{24}$

$= 1674.66 Km/h = 1667 Km/h$

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A plane flies from east to west over the equator. In order that the passenger may see the sun motionless, the speed (kmph) of the plane should be