A proton moving with a constant velocity passes through a region of space without any change in its velocity. If and represent the electric and magnetic fields respectively,. then this region of space may have :-(i) E = 0, B = 0 (ii) E = 0, B ≠ 0(iii) E ≠ 0, B = 0 (iv) E ≠ 0, B ≠ 0Correct statements are –i, ii and iiiii, iii and ivi, ii and iv All
Question
A proton moving with a constant velocity passes through a region of space without any change in its velocity. If and represent the electric and magnetic fields respectively,. then this region of space may have :-(i) E = 0, B = 0 (ii) E = 0, B ≠ 0(iii) E ≠ 0, B = 0 (iv) E ≠ 0, B ≠ 0Correct statements are –i, ii and iiiii, iii and ivi, ii and iv All
Solution
The correct statements are (i), (ii), and (iv).
Here's why:
(i) E = 0, B = 0: If both the electric and magnetic fields are zero, there are no forces acting on the proton, so it can move with a constant velocity.
(ii) E = 0, B ≠ 0: If the electric field is zero and the magnetic field is not zero, the proton can still move with a constant velocity. This is because the magnetic field only affects charged particles that are moving perpendicular to the field lines, not those moving parallel to them.
(iii) E ≠ 0, B = 0: If the electric field is not zero and the magnetic field is zero, the proton's velocity would change. This is because the electric field exerts a force on charged particles regardless of their direction of motion.
(iv) E ≠ 0, B ≠ 0: If both the electric and magnetic fields are not zero, the proton can still move with a constant velocity. This is possible if the electric field is parallel to the proton's velocity and the magnetic field is either zero or perpendicular to the velocity. The electric field will not change the speed of the proton (only its direction), and the magnetic field will not affect the proton if it's moving parallel to the field lines.
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