The correct answer is decreases
The further away you are the weaker it would be. That's why at one point you stop being in the field and ti doesn't pull you towards it anymore. Proportionally, if you move towards the Earth then it increases.
Answer:
The mutual inductance is 
Explanation:
From the question we are told that
The number of turns per unit length is 
The radius is 
The number of turns of the solenoid is 
Generally the mutual inductance of the system is mathematically represented as

Where A is the cross-sectional area of the system which is mathematically represented as

substituting values


also
is the permeability of free space with the value 
So


<h2>The option ( c ) is correct </h2>
Explanation:
As the frequency of oscillation of any oscillator is doubled
The velocity of sound v = νλ
here ν is the frequency and λ is the wavelength
Now if ν becomes double , the wavelength λ becomes one half . The velocity of sound remains the same in the same medium .
Thus option ( c ) is correct
A) 
The magnitude of the capacitive reactance is given by

where
is the angular frequency
C is the capacitance
While the magnitude of the inductive capacitance is given by

where L is the inductance.
Since we want the two reactances to be equal, we have

So we find

B) 7449 rad/s
In this case, we have
is the inductance
is the capacitance
Therefore, substituting in the formula for the angular frequency, we find

C) 
Now we can us the formulas of the reactances written in part A). We have:
- Capacitive reactance:

- Inductive reactance:

Answer:
ω = B₀q/m
Explanation:
The centripetal force on the charge equal the magnetic force on the charge. (Since the trajectory is a circle). So, mrω² = B₀qv.
v = rω The speed of the charge and r = radius of path
mrω² = B₀qrω
ω = B₀q/m
The angular frequency ω = B₀q/m