Answer:
It takes [tex] 2.43\times 10^2[/tex] for the radio signal to travel from earth to the spaceship.
Explanation:
Given:
The frequency of the radio signal = [tex]2.00 \times 10^6[/tex] hertz
Distance =[tex]7.30\times 10^10[/tex] meters
To Find:
The time taken for the radio signal to travel from the earth to the spaceship= ?
Solution:
we know that the time taken can be found by dividing the distance travelled by the speed at which the signal travels
So
[tex]Time = \frac{Distance}{Speed}[/tex]
Here the speed of the radio signal is equal the the speed of light
Now substituting the values,
Time taken is
=>[tex]Time = \frac{7.30\times 10^10}{3 \times 10^8}[/tex]
=>[tex]Time = 2.43\times 10^{10-8}[/tex]
=>[tex]Time = 2.43\times 10^2[/tex]
The time taken for the 2×10⁶ Hz radio signal to get to the spaceship from Earth is 243.33 s
Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
speed = distance / time
3×10⁸ = 7.3×10¹⁰ / time
Cross multiply
3×10⁸ × time = 7.3×10¹⁰
Divide both sides by 3×10⁸
Time = 7.3×10¹⁰ / 3×10⁸
Time = 243.33 s
Learn more about speed:
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