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A particle of mass m and charge q is moving with a velocity v in a magnetic field B as shown in the figure. Show that it follows a helical path. Hence, obtain its frequency of revolution.
In a hydrogen atom, the electron moves in an orbit of radius 2 Å making 8 × 10¹⁴ revolutions per second. Find the magnetic moment associated with the orbital motion of the electron.
What is current sensitivity of a galvanometer ? Show how the current sensitivity of a galvanometer may be increased. "Increasing the current sensitivity of a galvanometer may not necessarily increase its voltage sensitivity." Explain.
A moving coil galvanometer has a resistance 15 Ω and takes 20 mA to produce full scale deflection. How can this galvanometer be converted into a voltmeter of range 0 to 100 V ?
A particle of mass m and charge q moving with a uniform velocity v = v₀ₓ î + v₀ᵧ ĵ enters a region with a magnetic field B = B₀ ĵ. After some time, an electric field E = E₀ ĵ is also switched on in the region. The resulting path described by the particle will be :
A particle of mass m and charge q is moving in a magnetic field B⃗ with a velocity v⃗. Discuss, giving reasons, the shape of its trajectory when the angle between v⃗ and B⃗ is : (a) 0° (b) 90° (c) 120°
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