KVPY SA Exam 2018 Question Paper

Question : 23 of 80

Marks: +1, -0

In a particle accelerator, a current of 500 μA is carried by a proton beam in which each proton has a speed of3 × 10

^{7}

m/s. The cross seetional area of the beam is 1.50 mm

^{2}

. The charge density in this beam in Coulomb/m

^{3}

is close to–

Solution:

\I = \neAv

\ne =1/{\Av}

={500× 10^{6}}/{15× 10^{-7}× 3 ×10^{7}}

=100/9×10^{-6}\ c\/m^3 ~ 10^{-5} c\/m^3

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