Answer:
The new energy density is same as initial energy density u0 as it is independent of plate dimensions
Explanation:
As we know that energy density is total energy per unit volume
so we know that isolated plates of capacitor is placed here

here we have energy density given as

so we have

so it is independent of the dimensions of the plate while total charge on the plates is constant always
so energy density will not change and remains the same
Answer:
The value is
Explanation:
From the question we are told that
The length is 
The radius of the the solenoid is 
The number of turns per meter is 
The current through the solenoid is 
The current through the segment is 
Generally the magnetic force is mathematically represented as

At maximum 
So

Here B is the magnetic field is mathematically represented as

Here
is the permeability of free space with value

So

=> 
So

Answer:
If a vertical line extending down from an object's CG extends outside its area of support, the object will topple
Explanation:
We can understand better this situation using a diagram with the forces acting on it.
In the attached image we can see that when the gravity center is bouncing outside from the area of the pedestal, the object will be out of balance and will fall.
Answer:
Velocity.
Explanation:
Projectile motion is characterized as the motion that an object undergoes when it is thrown into the air and it is only exposed to acceleration due to gravity.
As per the question, 'any change in the initial velocity of the projectile(object having gravity as the only force) would lead to a change in the range as well as the maximum height of the projectile.' To illustrate numerically:
Horizontal range: As per expression:
R= (
*sin2θ)/g
the range depending on the square of the initial velocity.
Maximum height: As per expression:
H= (
*
θ
)/2g
the maximum distance also depends upon square of the initial velocity.
x=gt^2/2=>t^2=2x/g=30/9.81=3.05=>t=sqrt(3.05)=1.8 s