Thomson's experiments accounted for: the mass of the electron the fundamental charge the force on a current-carrying wire the electron's charge-to-mass ratio

Thomson experiment he calculated the charge to mass ratio just be passing the fundamental charge through a tube

He calculated the charge to mass ratio just by finding the deflection of charge while it is passing through the constant electric field

so here we will use the deflection as following

let say it passes the field of length "L"

so here we have

now in the same time if it deflect by some distance

now by solving this equation we can find e/m ratio

so here correct answer will be

the electron's charge-to-mass ratio