An electron having mass 9.1 × 10-31 kg, charge 1.6 × 10-19 C and moving with the velocity of 106 m / s enters are region where magnetic field exists. If it describes a circle of radius 0.2 m then the intensity of magnetic field must be × 10-5 T.

Question

An electron having mass 9.1 × 10-31 kg, charge 1.6 × 10-19 C and moving with the velocity of 106 m / s enters are region where magnetic field exists. If it describes a circle of radius 0.2 m then the intensity of magnetic field must be × 10-5 T. (A) 14.4 (B) 5.65 (C) 2.84 (D) 1.32

Tardigrade Admin · Accepted Answer

R=(m v/q B) ⇒ B=(m v/q R) B=(9.1 × 10-31 × 106/1.6 × 10-19 × 0.2) =(9.1/1.6 × 2) × 10-6 =2.84 × 10-6 T

Q. An electron having mass 9.1×10−31kg, charge 1.6×10−19 C and moving with the velocity of 106m/s enters are region where magnetic field exists. If it describes a circle of radius 0.2m then the intensity of magnetic field must be ________×10−5T.

14.4

5.65

2.84

1.32

R=qBmv​⇒B=qRmv​ B=1.6×10−19×0.29.1×10−31×106​ =1.6×29.1​×10−6 =2.84×10−6T

$R = \frac{m v}{qB} \Rightarrow B = \frac{m v}{qR}$
$B = \frac{9.1 \times 1 0 ^{- 31} \times 1 0 ^{6}}{1.6 \times 1 0 ^{- 19} \times 0.2}$
$= \frac{9.1}{1.6 \times 2} \times 1 0^{- 6}$
$= 2.84 \times 1 0^{- 6} T$