An electron (mass = 9 × 10 − 31 k g , charge = 1.6 × 10 − 19 C ) whose kinetic energy is 7.2 × 10 − 20 J is moving in a circular orbit in a magnetic field of 9 × 10 − 5 w e b e r / m 2 . The radius of the orbit is Options: A . &nbsp1.25 cm B . &nbsp2.5 cm C . &nbsp12.5 cm D . &nbsp25.0 cm

Answer: Option B : B r = √ 2 m K q B = √ 2 × 9 × 10 − 31 × 7.2 × 10 − 20 1.6 × 10 − 19 × 9 × 10 − 5 = 2.5 c m

An electron (mass = 9×10−31kg, charge =1.6×10−19 C ) who

Question

An electron (mass =

9 \times 10^{- 31} k g,

charge

= 1.6 \times 10^{- 19}

C ) whose kinetic energy is

7.2 \times 10^{- 20}

J is moving in a circular orbit in a magnetic field of

9 \times 10^{- 5} w e b e r / m^{2}

. The radius of the orbit is

Options:

A . 1.25 cm

B . 2.5 cm

C . 12.5 cm

D . 25.0 cm

Answer: Option B
:
B

r = \frac{\sqrt{2 m K}}{q B} = \frac{\sqrt{2 \times 9 \times 10^{- 31} \times 7.2 \times 10^{- 20}}}{1.6 \times 10^{- 19} \times 9 \times 10^{- 5}} = 2.5 c m

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