A mass is suspended separately by two different springs in successive order then time periods is 
and 
respectively. If it is connected by both spring as shown in figure then time period is 
, the correct relation is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
The time period of a spring mass system as shown in figure 1 is given by 
, where 
is the spring constant.
(i)
and 
(ii)
Now, when they are connected in parallel as shown in figure 2(a), the system can be replaced by a single spring of spring constant, 
Since 
(iii)
From (i), 
(iv)
From (ii), 
(v)
From (iii), 
(vi)
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