wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A particle of charge 1 C and mass 0.2 g moves in a circle of radius 1 m around an infinite long line charge of linear charge density +1 nC/m. The time period of motion is


A
π150 s
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
π75 s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
π100 s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
π60 s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A π150 s
Given:
q=1 C; m=0.2 g; r=1 m; λ=+1 nC/m

Let v be the speed of particle moving in the circle.

Here, the electric force (Fe) acting on charge 1 C due to infinite line charge will act as the required centripetal force.

So, Fe=mω2r

qE=mω2r

q×2kλr=mω2r [ E=2kλr]

ω=2kλqmr2


Now, time period, T=2πω

T=2π×mr22kλq

T=2×π×0.2×103×122×9×109×1×109×1

T=π150 s

Hence, option (a) is correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon