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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......


 

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......


Grade:9

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