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Three ions H+, He+ and O+2 having same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity, then
  • a)
    H+ will be least deflected
  • b)
    He+ and O+2 will be deflected equally.
  • c)
    O+2 will be deflected most
  • d)
    all will be deflected equally
Correct answer is option 'B'. Can you explain this answer?
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Magnetic Field and Motion of Charged Particles

The motion of charged particles in a magnetic field is governed by the Lorentz force equation. When a charged particle moves in a magnetic field, it experiences a force perpendicular to both its velocity and the magnetic field. The direction of the force is given by the right-hand rule. The magnitude of the force is given by F = qvB, where q is the charge of the particle, v is its velocity, and B is the magnetic field strength.

Deflection of Ions in a Magnetic Field

When ions pass through a region with a uniform magnetic field perpendicular to their velocity, they experience a force that causes them to move in a circular path. The radius of the circular path is given by r = mv/qB, where m is the mass of the ion. The speed of the ion can be calculated from its kinetic energy, K = 1/2mv^2.

Answer Explanation

In this case, all three ions have the same kinetic energy, which means they have the same speed. Therefore, the radius of the circular path they follow will depend only on their mass and the strength of the magnetic field. The lighter ions will be deflected more than the heavier ions.

a) H will be least deflected because it has the lowest mass among the three ions.

b) He and O2 will be deflected equally because they have the same mass.

c) O2 will be deflected most because it has the highest mass among the three ions.

d) All will be deflected equally is not true because their masses are different.

Therefore, option (B) is correct.
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Read the following text and answer the following questions on the basis of the same: Galvanometer can sense/measure current. Improved mirror galvanometer was developed by William Thomson, later to become Lord Kelvin, in 1858. Thomson intended the instrument to read weak signal currents on very long submarine telegraph cables. The fundamental problems of transmitting/ receiving a signal through a lengthy submarine cable was that the electrical current tended to be very low (as little as 1/100,000th of a standard light bul b). So, it was very difficult to detect it. To solve the problem it was thought that larger amount of electric current would be sent through the line. But Thomson had a different approach. He thought the best response was to devise a device that could read faint signals. The galvanometer, first invented in 1802, was a means of detecting electric current. It consisted of a needle that was deflected by the magnetic field created by the electric current. But the galvanometers of the day couldn't detect the weak signals that came through a long underwater cable. But the improved version of galvanometer was highly sensitive to detect the lowest current. The mirror galvanometer consists of a long fine coil of silk-covered copper wire. In the heart of that coil, within a little air-chamber, a small round mirror is hung by a single fibre of floss silk, with four tiny magnets cemented to its back. A beam of light is thrown from a lamp upon the mirror, and reflected by it upon a white screen or scale a few feet distant, where it forms a bright spot of light; when there is no current on the instrument, the spot of light remains stationary at the zero position on the screen; but the instant a current traverses the long wire of the coil, the suspended magnets twist themselves horizontally out of their former position, the mirror is inclined with them, and the beam of light is deflected along the screen to one side or the other, according to the nature of the current. If a positive electric current gives a deflection to the right of zero, a negative current will give a deflection to the left of zero, and vice versa. The air in the little chamber surrounding the mirror is compressed, so as to act like a cushion, and deaden the movements of the mirror; the mirror is thus prevented from idly swinging about at each deflections.The basic principle of galvanometer is

Three ions H+, He+ and O+2 having same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity, thena)H+ will be least deflectedb)He+ and O+2 will be deflected equally.c)O+2 will be deflected mostd)all will be deflected equallyCorrect answer is option 'B'. Can you explain this answer?
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Three ions H+, He+ and O+2 having same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity, thena)H+ will be least deflectedb)He+ and O+2 will be deflected equally.c)O+2 will be deflected mostd)all will be deflected equallyCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three ions H+, He+ and O+2 having same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity, thena)H+ will be least deflectedb)He+ and O+2 will be deflected equally.c)O+2 will be deflected mostd)all will be deflected equallyCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three ions H+, He+ and O+2 having same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity, thena)H+ will be least deflectedb)He+ and O+2 will be deflected equally.c)O+2 will be deflected mostd)all will be deflected equallyCorrect answer is option 'B'. Can you explain this answer?.
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