An electron in a circular orbit ofradius 0.05 nm performs 1016 revolutions per second. The magnetic moment due to this rotation of electron is (in Am2)
2.16 × 10-23
3.21 × 10-22
3.21 × 10-24
1.26 × 10-23
A very small circular loop of radius a is initially (at t = 0) coplanar and concentric with a much larger fixed circular loop of radius b. A constant current I flows in the larger loop. The smaller loop is rotated with a constant angular speed ω about the common diameter. The emf induced in the smaller loop as a function of time t is
A proton of mass m and charge q is moving in a plane with kinetic energy E. If there exists a uniform magnetic field B, perpendicular to the plane of the motion, the proton will move in a circular path of radius
A long conducting wire carrying a current I is bent at 120° (see figure). The magnetic field B at a point P on the right bisector of bending angle at a distance d from the bend is (µ0 is the permeability of free space)
A stream of electrons and protons are directed towards a narrow slit in a screen (see figure). The intervening region has a uniform electric field E (vertically downwards) and a uniform magnetic field B (out of the plane of the figure) as shown. Then
electrons and protons with speed will pass through the slit
protons with speed will pass through the slit, electron of the same speed will not
neither electrons nor protons will go through the slit irrespective of their speed
electrons will always be deflected upwards irrespective of their speed
Two particles, A and B, having equal charges, after being accelerated through the same potential difference enter into a region of uniform magnetic field and the particles describe circular paths of radii R1 and R2, respectively. The ratio of the masses of A and B is
R1 / R2
(R1 / R2)2
(R2 / R1)2
C.
(R1 / R2)2
Radius of circular path followed by charged particle is given by
where, K is kinetic energy of particle. Charged particle q is accelerated through some potential difference V, such that kinetic energy of particle is
K = qV , ∴
As the two charged particles of same magnitude and being accelerated through same potential, enters into a uniform magnetic field region, then R ∝
So,
A straight conductor 0.1 m long moves in a uniform magnetic field 0.1 T. The velocity of the conductor is 15 m/s and is directed perpendicular to the field. The emf induced between the two ends of the conductor is
0.10 V
0.15 V
1.50 V
15.00 V
The conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field. An emf will be induced in the loop, if
it is translated parallel to itself
it is rotated about one of its diameters
it is rotated about its own axis which is parallel to the field
the loop is deformed from the original shape