Two springs of force constants k and 2k are connected to a mass as shown below. The frequency of oscillation of the mass is:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let the mass 
be displaced toward right by a distance 
. Then, spring 1 will be extended and the spring 2 will be compressed by an amount 
. On releasing mass 
, the restoring force on 
due to spring 1 is 
and restoring force due to spring 2 is 
Total restoring force on mass 
is
This is similar to 
Which represents equation of SHM.
Comparing the two equations, 
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