Magnetic Effects Of Current Question 272

Question: A uniform magnetic field acts at right angles to the direction of motion of electrons. As a result, the electron moves in a circular path of radius 2 cm. If the speed of the electrons is doubled, then the radius of the circular path will be [CBSE PMT 1991]

Options:

A) 2.0 cm

B) 0.5 cm

C) 4.0 cm

D) 1.0 cm

Show Answer

Answer:

Correct Answer: C

Solution:

$ r=\frac{mv}{qB}\Rightarrow r\propto v,\ ,\ \Rightarrow r_{2}=2r_{1}=2\times 2=4cm $