Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

A source in the form of a metal sphere of diameter 10-3 m emits electrons at a constant rate of 6.25 x 1010 particles per second. If the source is electrically insulated, how long (in μs) will it take for its potential to rise by 1.0 volt, assuming that 80% of emitted electrons escape from the surface.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

answer is 6.94.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Capacitance of sphereC=4πε0R=0.5×10−39×109=118×10−12 FRate of escape of charge from surface=80100×6.25×1010×1.6×10−19=8×10−9 C/s20% remained with source only. so charge developed is same as electrons escaped.therefore,  q=8×10-9t and q=CV⇒8×10−9t=118×10−12×1⇒t=10−128×10−9×18=10−3144=6.94 μs
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring