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  • An a-particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m². The wavelength associated With the particle will be:<str

An a-particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m². The wavelength associated With the particle will be:

Option: 1

1A


Option: 2

0.1A


Option: 3

10A


Option: 4

0.01A


Answers (1)

Wavelength

1=\frac{n}{p} \Rightarrow 1=\frac{n}{mv},

h=plank's constant = 6.63\times10^{-34}J.S

For circular motion = F_e=qVB

\begin{aligned} & \Rightarrow \frac{m v^2}{r}=q m B \Rightarrow \frac{m V}{q B}=r \\ & r=\frac{m V}{q B} \Rightarrow m V=q r B \\ & \Rightarrow(2 e)\left(0.83 \times 10^{-2}\right)\left[\frac{1}{4}\right] \\ & \lambda=\frac{6.6 \times 10^{-34} \times 4}{2 \times 1.6 \times 10^{-19} \times 0.83 \times 10^{-2}} \\ & \lambda=9.93 \times 10^{-34}+{ }^{21}=0.01 \mathrm{~A} \end{aligned}

 

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Kshitij

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