An electron with a speed of 1.8 x 10⁶m/s is moving in a circular orbit in a uniform magnetic field of 10^-4Wb/m², the radius of the circular path of the electron is

Q. Determine uncertainty in the position of an electron moving with a velocity 300 m. sec

^{- 1}

accurate up to 0.001 %

[

h = 6.63 \times 10^{- 34}

J.s and mass of electron

= 9.1 \times 10^{- 31}

kg]

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An electron moves in a circular pathperpendicular to a constant magnetic field witha magnitude of 1.0mT . If the angularmomentum of the electron about the centre ofthe circte is 8.1×10−38 J.s, determine the speedof the electron. (Take me=9×10−31kg) .

The correct option is B 4 m/smvr=8.1×10−38⇒r=mvqB⇒mv.mvqB=8.1×10−38⇒m2v2=1.6×10−19×1×10−3×8.1×10−38⇒v2=1.6×10−19×10−3×8.1×10−389×9×10−62∴v=4m/sOption B is correct .

An electron moves in a circular pathperpendicular to a constant magnetic field witha magnitude of 1.0 $m T$ . If the angularmomentum of the electron about the centre ofthe circte is $8.1 \times 10^{- 38}$ J.s, determine the speedof the electron. (Take $m_{e} = 9 \times 10^{- 31} k g)$ .