Magnetic Effects Of Current Question 405
Question: A uniform magnetic field of magnitude IT exists in region y>0 is along k direction as shown. A particle of charge 1 C is projected from point $ (-\sqrt{3},-1) $ towards origin with speed 1 m/sec. If mass of particle is 1 kg, then co-ordinates of centre of circle in which particle moves are-
Options:
A) $ (1,,\sqrt{3}) $
B) $ (1,,-\sqrt{3}) $
C) $ ( \frac{1}{2},-\frac{\sqrt{3}}{2} ) $
D) $ ( \frac{\sqrt{3}}{2},-\frac{1}{2} ) $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] The centre will be at C as shown : Coordinates of the centre are $ (r,\cos ,60^{o},-r,\sin ,60^{o}) $ where r = radius of circle $ =\frac{mv}{Bq}=\frac{1\times 1}{1\times 1}=1 $ i.e., $ ( \frac{1}{2},-\frac{\sqrt{3}}{2} ) $
BETA
