An experimenter’s diary reads as follow: “a charged particle is projected in a magnetic field of The acceleration of the particle is found to be The number to the left of in in the last expression was not readable. What can this number be?

Question

Philoid · Accepted Answer

Given-

Magnetic field,

Acceleration of the particle,

Let denoted the unidentified number as

Since, magnetic force always acts perpendicular to the motion of

the particle, so, B and a are perpendicular to each other.

So, the dot product of the two quantities should be zero.

That is,

Hence acceleration of the particle is m/s².