During an experiment, a signal from a spaceship reached a ground station in $5 \min$ . The distance of the spaceship from the ground is ____ $\times 10^{10} m$ if the speed of light is $3 \times 10^{8} m / s$ .

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Detailed Solution

During an experiment, a signal from a spaceship reached a ground station in

5 minutes

.
The distance of the spaceship from the ground is

9 \times 10^{10} m

if the speed of light is

3 \times 10^{8} m / s

.
The time taken by the signal is

5 minutes

5 \times 60 = 300 s

The spaceship distance from the ground station is equal to the distance travelled by the signal in

5 minutes

.
The distance travelled by the signal in

5 minutes,

i.e.

300 s,

= 3 \times 10^{8} \times 300

= 9 \times 10^{10} m

The spaceship distance from the ground is

9 \times 10^{10} m

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