In an experiment electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron = 1.6 × 10-19 C Mass of the electron = 9.1 × 10-31 kg]

Question

In an experiment electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron = 1.6 × 10-19 C Mass of the electron = 9.1 × 10-31 kg] (A) 7.5 × 10-4 m  (B) 7.5 × 10-3 m  (C) 7.5 m  (D) 7.5 × 10-2 m

Tardigrade Admin · Accepted Answer

r= (√2mk/eB) = (√2meΔ v/eB) r = (√(2m/e).Δ v/B) = (√(2×9.1×10-31/1.6×10-19)(500)/100×10-3) r = (√(9.1/0.16)×10-10/10-1)= (3/4) ×10-4 =7.5 ×10-4

Q. In an experiment electrons are accelerated, from rest, by applying a voltage of $500 V$ . Calculate the radius of the path if a magnetic field $100 m T$ is then applied.
[Charge of the electron = $1.6 \times 1 0^{- 19} C$
Mass of the electron = $9.1 \times 1 0^{- 31} k g$ ]

$7.5 \times 1 0^{- 4} m$

$7.5 \times 1 0^{- 3} m$

$7.5 m$

$7.5 \times 1 0^{- 2} m$

Q. In an experiment electrons are accelerated, from rest, by applying a voltage of 500V. Calculate the radius of the path if a magnetic field 100mT is then applied. [Charge of the electron = 1.6×10−19C Mass of the electron = 9.1×10−31kg]

7.5×10−4m

7.5×10−3m

7.5m

7.5×10−2m

r=eB2mk​​=eB2meΔv​​ r=Be2m​.Δv​​=100×10−31.6×10−192×9.1×10−31​(500)​​ r=10−10.169.1​×10−10​​=43​×10−4=7.5×10−4

Q. In an experiment electrons are accelerated, from rest, by applying a voltage of $500 V$ . Calculate the radius of the path if a magnetic field $100 m T$ is then applied.
[Charge of the electron = $1.6 \times 1 0^{- 19} C$
Mass of the electron = $9.1 \times 1 0^{- 31} k g$ ]

$7.5 \times 1 0^{- 4} m$

$7.5 \times 1 0^{- 3} m$

$7.5 m$

$7.5 \times 1 0^{- 2} m$