HARD
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In a region, magnetic field along x-axis changes according to the graph given in figure.
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If time period, pitch and radius of helix path are T0,P0, and R0, respectively, and if the particle is projected at an angle θ0 with the positive x-axis toward positive y-axis in x-y plane, then
Select the correct statement:

Important Questions on Magnetic Effect of Current

HARD
In the xy - plane , the region y>0 has a uniform magnetic field B1k^ and the region y<0 has another uniform magnetic field B2k^. A positively charged particle is projected from the origin along the positive yaxis with speed v 0 =π m  s 1 at t=0, as shown in the figure. Neglect gravity in this problem. Let t=T be the time when the particle crosses the xaxis from below for the first time. If B 2 =4 B 1, the average speed of the particle, in m  s 1, along the xaxis in the time interval T is ________.

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EASY
A proton with a kinetic energy of 2.0 eV moves into a region of uniform magnetic field of magnitude π2×10-3 T. The angle between the direction of magnetic field and velocity of proton is 60o. The pitch of the helical path taken by the proton is ____ cm. (Take, mass of proton =1.6×10-27 kg and charge on proton =1.6×10-19 C).
MEDIUM
A proton and an α- particle (with their masses in the ratio of 1:4 and charges in the ratio of 1:2 ) are accelerated from rest through a potential difference V. If a uniform magnetic field B is set up perpendicular to their velocities, the ratio of the radii rp:rα of the circular paths described by them will be:
HARD
If one were to apply the Bohr model to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a magnetic field 'B', the energy of the charged particle in the nth level will be:
MEDIUM
A beam of protons with velocity 600 km s-1 enters a uniform magnetic field of 0.2 T. The velocity makes an angle of 30° with the magnetic field. The radius of the helical path will be
MEDIUM

A proton (mass m) accelerated by a potential difference V flies through a uniform transverse magnetic field B. The field occupies a region of space by width d. If α be the angle of deviation of proton from the initial direction of motion (see figure), the value of sinα  will be:
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EASY
A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will be
EASY
A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the current. The motion of the charge is:
MEDIUM
A particle of mass m and charge q with an initial velocity v is subjected to a uniform magnetic field B along the vertical direction. The particle will
MEDIUM
When a charged particle enters a magnetic field at an angle of 60° with the field direction, it traces
MEDIUM
An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57×10-2 T. If, the value of em is 1.76×1011 C kg-1, the frequency of revolution of the electron is
MEDIUM
A beam of protons with speed 4×105 m s-1 enters a uniform magnetic field of 0.3 T at an angle 60° to the magnetic field, the pitch of the resulting helical path of protons is close to : (Mass of the proton=1.67×10-27 kg, charge of the proton=1.69×10-19C)
HARD
A particle of mass M and positive charge Q, moving with a constant velocity u1=4i^ m s-1, enters a region of uniform static magnetic field normal to the x-y plane. The region of the magnetic field extends from x=0 to x=L for all values of y. After passing through this region, the particle emerges on the other side after 10 milliseconds with a velocity u2=23i^+j^ m s-1. The correct statement (s) is (are)
EASY
A proton and an alpha particle both enter a region of uniform magnetic field B, moving at right angles to the field B. if the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV, the energy acquired by the alpha particle will be:
MEDIUM
In a certain region static electric and magnetic fields exist. The magnetic field is given by B=B0i^+2j^-4k^. If a test charge moving with a velocity v=v03i^-j^+2k^ experiences no force in that region, then the electric field in the region, in SI units, is:
EASY
A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is :
MEDIUM
An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re, rp, rα respectively in a uniform magnetic field B. The relation between re, rp, rα is:
HARD
An electron is moving in a uniform magnetic field B. The velocity v of the electron is directed at an angle θ to the direction of the field where tanθ=34. If the speed of the electron is 4×106 m s-1 and the strength of the magnetic field is 0.18 T, then the distance moved by the electron along the field direction in the time it takes for the electron to complete one full orbit is approximately
EASY
A particle of mass m and charge q is incident on XZ plane with velocity v in a direction making angle θ with a uniform magnetic field applied along X-axis. The nature of motion performed by the particle is
MEDIUM

The figure shows a region of length 'l' with a uniform magnetic field of  0.3 T in it and a proton entering the region with velocity 4×105 m s-1 making an angle 60° with the field. If the proton completes 10 revolution by the time it cross the region shown, 'l' is close to (mass of proton = 1.67×10-27 kg, charge of the proton= 1.6×10-19 C)

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