To solve this problem we will proceed to use the equations given for the calculation of the resistance, in order to find the radius of the cable. Once the length is found we can find the number of turns of the solenoid and finally the net length of it
The resistance of the wire is

= Resistivity
L = Length
A = Cross-sectional Area
That can be also expressed as,

Rearranging the equation for the length of the wire we have



The number of turns of the solenoid is
Denominator is equal to the circumference of the loop


Finally the Length of he solenoid is

Where \phi is the diameter of wire



Therefore the length of the solenoid is 7.532m
Because many objects in space don't radiate any optical (visible) radiation at all.
And other objects, like stars, radiate a lot of invisible radiation in addition to the
visible light from them. So the ability to detect and measure invisible radiation
makes it possible to learn a lot more about objects in space than we could if
we could only use their visible light.