Question
Due to the earth’s magnetic field, charged cosmic ray particles
A.
can never reach the poles
B.
can never reach the equator
C.
require less kinetic energy to reach the equator than the poles
D.
require greater kinetic energy to reach the equator than the poles
Answer :
require greater kinetic energy to reach the equator than the poles
Solution :
Earth's magnetic field at poles is vertical (perpendicular to the earth's surface) and horizontal (parallel to the earth’s surface) at equator.
Cosmic rays are positively charged particles and its velocity is parallel to the earths magnetic field. So, no magnetic force acts on cosmic ray particles coming at poles, i.e. force
$$\left( F \right) = qvB\sin \theta $$
At poles angle between $$v$$ and $$B$$ is $$\theta = {0^ \circ },$$
So, $$F = 0$$
At equator $$\theta = {90^ \circ },$$
So, $${\text{Force}} = qvB\sin {90^ \circ } = qvB$$
This force is maximum and deflects the particles sideways.
Hence, only high energy particles can reach the equator.