Answer:
The distance from the radio station is 0.28 light years away.
Solution:
As per the question:
Distance, d = 4 ly
Frequency of the radio station, f = 854 kHz =
Power, P = 50 kW =
Now,
From the relation:
P = nhf
where
n = no. of photons/second
h = Planck's constant
f = frequency
Now,
Area of the sphere, A =
Now,
Suppose the distance from the radio station be 'r' from where the intensity of the photon is
Now,
We know that:
1 ly =
Thus
Answer:
The angle it subtend on the retina is
Explanation:
From the question we are told that
The length of the warbler is
The distance from the binoculars is
The magnification of the binoculars is
Without the 8 X binoculars the angle made with the angular size of the object is mathematically represented as
Now magnification can be represented mathematically as
Where is the angle the image of the warbler subtend on your retina when the binoculars i.e the binoculars zoom.
So
=>
Generally the conversion to degrees can be mathematically evaluated as