A 2.00x10^6 hertz radio signal is sent a distance of 7.30x10^10 meters from earth to a spaceship orbiting Mars. How much time does it take for the radio signal to travel from earth to the spaceship

Respuesta :

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

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

How to determine the time

  • Speed of radio signal = 3×10⁸ m/s
  • Distance = 7.3×10¹⁰ m
  • 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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