A clock is designed based on the oscillations of a spring block system suspended vertically in the absence of air-resistance. Assume it shows the correct time when a spring of stiffness ' 
' and block of mass ' 
' are used. If the block is replaced by another block of mass 
, choose the correct option.
A
The clock runs slow by 0.5 s for every one second
B
The clock runs fast by 0.5 s for every one second
C
The clock runs fast by 
for every one second
for every one second
D
The clock runs slow by 
for every one second
for every one second
Text Solution
Verified by ExpertsThe correct answer is:
A
Time period of a spring block system is given by
……..(i)
If block of mass " " is replaced by block of mass " 
", then time period is given by
Using Equation (i),
Thus the time taken is twice.
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