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

If the length of the simple pendulum is increased by 44%, then what is the change in time period of pendulum?

A
22%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
20%
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
33%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
44%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 20%
Times period of a simple pendulum is directly proportional to the square root of the length of the pendulum.
The relation for time period of a simple pendulum id
T=2πlg .... (i)
or Tl ...(ii)
Hence, Tl ...(iii)
(Given, l=l+44% of l=l+44100l=144100l)
Putting given value of l in Eq. (iii), we get
T=144100l ...(iv)
From Eqs. (ii) and (iv), we get
TT=144100=1210
Hence, T=1210T
Now percentage change in time period is
(TTT×100)=⎜ ⎜ ⎜1210TTT⎟ ⎟ ⎟×100
(TTT)×100=210×100=20%

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Error and Uncertainty
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon