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Len [333]
3 years ago
5

An electron and a second particle both move in circles perpendicular to a uniformmagnetic field. The mass of the second particle

is the same as that of a proton but thecharge of this particle is different from that of a proton. If both particlestakethesameamount of time to go once around their respective circles, determine the charge of thissecond particle. You may use the values:melectron9.1110−31kg,qelectron1.6010−19C, andmproton1.6710−27kg.
Physics
1 answer:
Katarina [22]3 years ago
7 0

Answer:

The change on the second particle is 2.93\times 10^{-16}\ C.

Explanation:

The period of revolution of the particle in the magnetic field is given by the formula as follows :

T=\dfrac{2\pi m}{Bq}

It is given that the magnetic field is uniform. The mass of the second particle is the same as that of a proton but thecharge of this particle is different from that of a proton.

m_s=m_p

If both particles take the same amount of time to go once around their respective circles. So,

T_e=T_s\\\\\dfrac{2\pi m_e}{Bq_e}=\dfrac{2\pi m_s}{Bq_s}\\\\\dfrac{m_e}{q_e}=\dfrac{m_p}{q_s}\\\\q_s=\dfrac{m_pq_e}{m_e}\\\\q_s=\dfrac{1.67\times 10^{-27}\times 1.6\times 10^{-19}}{9.11\times 10^{-31}}\\\\q_s=2.93\times 10^{-16}\ C

So, the change on the second particle is 2.93\times 10^{-16}\ C.

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