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

Q.

A simple pendulum with a bob of mass m=1kg, charge q=5μC and string length l=1m is given a horizontal velocity u in a uniform electric field E=2×106V/m at its bottommost point A, as shown in figure. It is given that the speed u is such that the particle leaves the circle at pint C. Find the speed u (Take g=10m/s2 )

A simple pendulum with a bob of mass m = 1 kg, charge q = 5muC and

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

6 m / s

b

9 m / s

c

8 m / s

d

2 m / s

answer is C.

(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

 From work-energy theorem, 

A simple pendulum with a bob of mass m = 1 kg, charge q = 5muC and

12mv2-u2=-mg l 1+sin60°+qE l cos60°

 Substituting the values, we get

u2-v2=32.32

Further, at C tension in the string is zero.

Hence, mv2l=mgsin60°-qEcos60°

or   v2=3.66

...(ii)

From Eqs. (i) and (ii), we get

u=6m/s

Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon