A charged particle P leaves the origin with speed v = v0, at some inc

1.	A charged particle P leaves the origin with speed v = v0, at some inclination with the x-axis. There is a uniform magnetic field B along the x-axis. P strikes a fixed target T on the x-axis for a minimum value of B = B0. P will also strike T if (a) B = 2B0, v = 2v0 (b) B = 2B0, v = v0 (c) B = B0, v = 2v0 (d) B = B0/2, v = 2v0
Answer» Correct Answer is: (a) B = 2B₀, v = 2v_0,(b) B = 2B₀, v = v₀ Pitch = (2π m/QB) vcos θ. Here, m, Q and θ are constant. ∴ pitch = k (v/B), where k = constant Initially, d = k (v₀ B₀) .

A charged particle P leaves the origin with speed v = v0, at some inclination with the x-axis. There is a uniform magnetic field B along the x-axis. P strikes a fixed target T on the x-axis for a minimum value of B = B0. P will also strike T if (a) B = 2B0, v = 2v0 (b) B = 2B0, v = v0 (c) B = B0, v = 2v0 (d) B = B0/2, v = 2v0

Answer»

Correct Answer is: (a) B = 2B₀, v = 2v_0,(b) B = 2B₀, v = v₀

Pitch = (2π m/QB) vcos θ.

Here, m, Q and θ are constant.

∴ pitch = k (v/B), where k = constant

Initially, d = k (v₀ B₀) .