wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

Some springs are combined in series and parallel arrangement as shown in the figure and a mass m is suspended from them. The ratio of their frequencies will be


A
1:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3:2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
4:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 3:2
Case I :
Both springs are in series,
effective spring constant (Ks)1=K1K2K1+K2=K2
Frequency of oscillation (fs)1=12πKsm
=12πK2m ...(1)

Case II :
Two springs are in parallel combination, which is in series arrangement with other spring.
Effective spring constant (Ks)2=(2K)(K)3K=2K3

Frequency of oscillation (fs)2=12π(Ks)2m
=12π2K3m ...(2)
From (1) & (2)
(fs)1(fs)2=32

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