AIIMS2019PhysicsMagnetic Effects of Current
A proton is projected with velocity v =2 i in a region where magnetic field B =( i +3 j +4 k ) T and electric field E =10 i Vm ⁻¹ . Then find out the net acceleration of proton
Options
- A1400 ~m ~s ⁻²
- B700 ~m ~s ⁻²
- C1000 ~m ~s ⁻²
- D800 ~m ~s ⁻²
Correct answer
A. 1400 ~m ~s ⁻²
Step-by-step solution
aligned & F =q E +q( v B ) & F =1.6 10⁻¹⁹ 10 i 10⁻⁶+1.6 10⁻¹⁹ & [(2 i ) ( i +3 j +4 k )] 10⁻⁶ & F =1.6 10⁻¹⁹[10 i +6 k -8 j ] 10⁻⁶ ~N & a =1.6 10⁻¹⁹[10 i -8 j +6 k ] 10⁻⁶ / 1.6 10⁻²⁷ ~m ~s ⁻² & a=| a |=100 200 =1.41 1000 1400 ~m ~s ⁻² aligned