wiz-icon
MyQuestionIcon
MyQuestionIcon
10
You visited us 10 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