94 Aptitude Test Problems in Physics
Determine the radius r of the circle in
which the ball moves if the thread is always
stretched.
3.51. A metal ball of radius r moves at a
constant velocity v in a uniform magnetic
field of induction B.
Indicate the points on the ball the poten-
tial difference between which has the maxi-
mum value Aymax• Find this value, as-
suming that the direction of velocity forms
an angle a with the direction of the mag-
netic induction.
3.52. A direct current flowing through the
winding of a long cylindrical solenoid of
radius ft produces in it a uniform magnetic
field of induction B. An electron flies into
the solenoid along the radius between its
turns (at right angles to the solenoid axis)
Fig. 107
at a velocity v (Fig. 107). After a certain
time, the electron deflected by the magnetic
field leaves the solenoid.
Determine the time t during which the
electron moves in the solenoid.
3.53. A metal jumper of mass m can slide
without friction along two parallel metal