Ratio of magnetic force Fmand electric force Feacting on a charge getting undeflected through the field isa)E/Bb)B/Ec)1d)0Correct answer is option 'C'. Can you explain this answer?

Question

Answer

if the particle is undeflected, then the magnetic force equals the electric force:
q x v x B=q x E
B is the magnitude of the magnetic field
E is the magnitude of the electric field
v is the magnitude of the velocity of the particle.
If the forces are equal then:
v=E/B
For undeflected v=1
E/B=1

Answer

If a charge remains undeflected in a combined E field and B field, the net external forces on it should add up to zero. So Fm = Fe in magnitude but opposite in direction.

Answer

(a) part is correct As Fe =FbqE=BqvE=Bvv=E/B

Answer

Magnetic and electric forces are perpendicular to each others so if charge follow undeflected path then they both must be the same. so ans is 1

Answer

Explanation:
When a charged particle moves through a magnetic field, it experiences a magnetic force given by the equation Fm = qvBsinθ, where Fm is the magnetic force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

Similarly, when a charged particle moves through an electric field, it experiences an electric force given by the equation Fe = qE, where Fe is the electric force, q is the charge of the particle, and E is the electric field strength.

Ratio of Magnetic Force and Electric Force:
To find the ratio of the magnetic force to the electric force, we can divide the equation for the magnetic force by the equation for the electric force:

Fm / Fe = (qvBsinθ) / (qE)

The charge q cancels out, so the ratio simplifies to:

Fm / Fe = (vBsinθ) / E

Undeflected Charge:
If the charge is undeflected, it means that the magnetic force and the electric force are equal in magnitude and opposite in direction. This means that the velocity vector is perpendicular to the magnetic field vector (θ = 90 degrees) and the sine of 90 degrees is 1.

Therefore, the ratio of the magnetic force to the electric force for an undeflected charge is:

Fm / Fe = (vBsinθ) / E = (vB)(1) / E = vB / E

Conclusion:
From the above calculation, we can see that the ratio of the magnetic force to the electric force for an undeflected charge is vB / E. Since the velocity, magnetic field, and electric field are all non-zero quantities, the ratio is not zero. Therefore, the correct answer is option 'C' - 1.

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