A 10 g bullet hav

Given-

Mass of the bullet, m = 10g = 10-3 Kg

Charge of the bullet, q = 4.00 μC =10-6 C

Speed of the bullet in horizontal direction, v = 270 m/s

Vertical magnetic field, B = 500 μT = 500× 10-6 T

Distance travelled by the bullet, d = 100 m

Magnetic force,

We know, Lorentz force F is given by -

where,

q = charge

v = velocity of the charge

B=magnetic field

and

θ= angle between V and B

Also,

And Newton's second law of motion

where m = mass

a= acceleration

Using equation (1) –

we know

Substituting the values, time taken by the bullet to travel 100 m horizontally,

Applying 2nd equation of motion

where,

a= acceleration

u = initial velocity

t= Time taken to cross the magnetic field

Since, the initial velocity is zero,

from (1),(2) and (3)

Now, the deflection caused by the magnetic field in this time

interval,

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