A negatively charged particle having magnitude of chargeq =

Question

A negatively charged particle having magnitude of charge

q = 0.1 c and mass m = 200 gm moves with speed v = 10m/s

enters a region having magnetic field B = 4Tmaking an angle

60° with X axis as shown in figure. The direction of magnetic

field is out of the X–Y plane. A convex lens is placed at a

distance 14.3 m from origin. Region of magnetic field starts

from origin and extends till lens. Focal length of lens is 50 cm.

Take X-axis as principle axis.

1. Calculate the radius of path of charge

(A) 4.25 m (B) 6 m (C) 5 m (D) 7.1 m

2. Find the frequency of revolution

(A) 0.32 Hz (B) 0.64 Hz (C) 2.16 Hz (D) 3.14 Hz

3. What is change in momentum from t = 0 to t = π/6sec?

(A) 8 kg m/s (B) 2 kg m/s (C) 10 kg m/s (D) 17.32 kg m/s

4. What is the image height at t = π/6 sec from principle axis

(A) 7.5 cm (B) 13 cm (C) 4.5 cm (D) 9 cm

5. Find the minimum value of initial velocity of charge so that image formed is virtual.

(A) 7.2 m/s (B) 14.8 m/s (C) 16.4 m/s (D) 20 m/s

Please provide solution rather than only answers with formulas used to solve these questions......

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