Answer :


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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