Answer: (a) α = 
(b) For r≤R: B(r) = μ_0.
For r≥R: B(r) = μ_0.
Explanation:
(a) The current I enclosed in a straight wire with current density not constant is calculated by:

where:
dA is the cross section.
In this case, a circular cross section of radius R, so it translates as:




For these circunstances, α = 
(b) <u>Ampere's</u> <u>Law</u> to calculate magnetic field B is given by:
μ_0.
(i) First, first find
for r ≤ R:





Calculating B(r), using Ampere's Law:
μ_0.
.μ_0
B(r) =
.μ_0
B(r) =
.μ_0
For r ≤ R, magnetic field is B(r) =
.μ_0
(ii) For r ≥ R:

So, as calculated before:

I
Using Ampere:
B.2.π.r = μ_0.I
B(r) =
.μ_0
For r ≥ R, magnetic field is; B(r) =
.μ_0.
Answer:
The ratio is 
Explanation:
From the question we are told that
The first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern.
Generally the condition for constructive interference for as single slit is

Here k is the width of the slit and n is the order of the fringe and for single slit n = 1 (cause we are considering the first maxima)
Generally the condition for constructive interference for as double slit is

Here d is the separation between the slit and m is the order of the fringe and for double slit m = 5 (cause we are considering the first maxima)
=> 
So

=> 
So

Oscillatory motion.(also known as Periodic motion)
Hope it helps...
Regards,
Leukonov/Olegion.
Answer:
made with the material that is water proof