Question

A navigational beacon in deep space broadcasts at a radio frequency of 50 MHz. A spaceship approaches the beacon with a relative velocity of 0.40c. What is the frequency of the beacon radio signal that is detected on the ship

Answer 1

The frequency heard y the ship is 70 MHz.

Step-by-step explanation:

True frequency, f = 50 MHz

speed of source, vs = 0

speed of observer, vo = 0.4 c

Let the frequency heard by the ship is f'.

Use the formula of doppler's effect

`f' = (v +v_o)/(v+ v_s)f\\\\f' = (c + 0.4 c)/(c)* 50\\\\f' = 1.4* 50\\​\\f' = 70 MHz`