Given,
Radius of curvature of concave mirror = 1.6m
We know that ,
Focal length = radius/2
Hence ,
Focal length of concave mirror = radius of concave mirror /2
=> F = 1.6/2
=> F = 0.8m
Hence the focal length of concave mirror is 0.8 m
Answer:
Explanation:
We shall apply Gauss's theorem for electric flux to solve the problem . According to this theorem , total electric flux coming out of a charge q can be given by the following relation .
∫ E ds = q / ε
Here q is assumed to be enclosed in a closed surface , E is electric intensity on the surface so
∫ E ds represents total electric flux passing through the closed surface due to charge q enclosed in the surface .
This also represents total flux coming out of the charge q on all sides .
This is equal to q / ε where ε is a constant called permittivity which depends upon the medium enclosing the charge . For air , its value is 8.85 x 10⁻¹² .
If charge remains the same but radius of the sphere enclosing the charge is doubled , the flux coming out of charge will remain the same .
It is so because flux coming out of charge q is q / ε . It does not depend upon surface area enclosing the charge . It depends upon two factors
1 ) charge q and
2 ) the permittivity of medium ε around .
Answer:
The magnetic field is lowest for largest distance and highest when distance is least.
Explanation:
The magnitude of magnetic field strength at a distance 'r' from a long straight wire carrying current 'I' is given as:

Now, as per question, the distance 'r' is varied while keeping the current constant in the wire.
As seen from the above formula, the magnitude of magnetic field strength for a constant current varies inversely with the distance 'r'. This means that, as the value of 'r' increases, the magnitude of magnetic field strength decreases and vice-versa.
Therefore, the magnitude of magnetic field strength is maximum when the distance 'r' is least and the magnetic field is minimum for the largest distance.
Example:
If
are the magnitudes of magnetic field strengths for distances
respectively such that
. Now, as per the explanation above, the order of magnitudes of magnetic field strength is:

Answer:
Will experience a force due to electric field.
Explanation:
- When a free negative charge is released in an electric field it experiences a force due to the electric field in a direction opposite to the direction of the magnetic field.
According to Coulomb's law this force is mathematically given as:

and, electric field due to a charge is given as:

where:
permittivity of free space
q = magnitude of charge
r = radial distance from the charge
The velocity of the red ball after the collision is 5.8 m/s
Explanation:
In absence of external forces on the system, we can apply the principle of conservation of momentum. The total momentum of the system must be conserved before and after the collision, so we can write:
where:
is the mass of the pool ball
is the initial velocity of the pool ball
is the final velocity of the pool ball
is the mass of the red ball
is the initial velocity of the red ball
is the final velocity of the red ball
Solving the equation for v2, we find the final velocity of the red ball after the collision:
Learn more about collisions:
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