#IT
138 Views

A pendulum of mass 80 mg carrying a charge of 2×10^4 vm^-1. Find the tension in the thread of the pendulum and the angle it makes with the vertical


sourabhsaha1299 18th Jul, 2020
Answer (1)
Venkatachalam M 22nd Jul, 2020

In this problem, the value of charge is not mentioned. But the magnitude of electric field is given as 2*10^4 vm^-1. With all the given information we can solve the problem as below. Here I have taken the charge to be 2*10^-8 C (assumed from similar problems).

Given: mass = 80 mg = 80 × 10 -6 Kg

Charge q = 2 × 10 -8 C

E = 2 × 10 4 Vm -1

Let 'T' is tension in string and θ

is angle of string with vertical.

In equilibrium,

Tsinθ=qE ..................(1)

Tcosθ=mg ....,,,,,,,,,,,,,(2)

Divide (1) by (2), we get

tanθ=qE/mg

=> tanθ=[2*(10^−8)*2*(10^4) ]/ [80×(10^−6)×10]

=> tanθ=0.5

=> θ=27

Now Tension T = qE/sinθ = 2×(10^−8)×2×(10^4) / s in27°

T = 8.8 × 10 -4 N

Related Questions

UPES Integrated LLB Admission...
Apply
Ranked #28 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS University Rankings | 16.6 LPA Highest CTC
SLAT 2025 - The Symbiosis Law...
Apply
Conducted by Symbiosis International (Deemed University) | Ranked #5 in Law by NIRF | Ranked #2 among best Pvt Universities by QS World Rankings
Jindal Global Law School Admi...
Apply
Ranked #1 Law School in India & South Asia by QS- World University Rankings | Merit cum means scholarships
Symbiosis Law School Pune Adm...
Apply
NAAC A++ Accredited | Ranked #5 by NIRF
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC
ISBR Business School PGDM Adm...
Apply
Ranked as Platinum Institute by AICTE for 5 years in a row | Awarded Best Business School of the Year
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books