A narrow stream of protons and deuterons, having the same momentum values, enter a region of uniform magnetic field directed perpendicular to their common direction of motion. What would be the ratio of the radii of the circular paths, described by the protons and deutrons?

Solution

We are given, stream of protons and deutrons haveing same momentum entering a region of uniform magnetic field perpendicular to the direction of motion.

Charge on deutron is twice as that of proton.

Using the formula,
$r = \frac{mv}{qB}$
$∴$ $\frac{r_{p}}{r_{D}} = \frac{q_{D}}{q_{p}} = \frac{2 q}{q} = 2$
Ratio of the radii of proton to deutron is 2:1 .

Some More Questions From Moving Charges And Magnetism Chapter

Two moving coil meters, M₁ and M₂ have the following particulars:
R₁ = 10 Ω N₁ = 30,
A₁ = 3.6 x 10^–3 m², B₁ = 0.25 T
R₂ = 14 Ω; N₂ = 42,
A₂ = 1.8 x 10^–3 m², B₂ = 0.50 T
(The spring constants k are identical for the two meters).
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M_1.

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Moving Charges And Magnetism

A narrow stream of protons and deuterons, having the same momentum values, enter a region of uniform magnetic field directed perpendicular to their common direction of motion. What would be the ratio of the radii of the circular paths, described by the protons and deutrons?

Some More Questions From Moving Charges And Magnetism Chapter

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