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Physics
A spring of force constant k is cut into three equal parts and then they are suspended from the same point. The force constant of the system is:
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Q. A spring of force constant k is cut into three equal parts and then they are suspended from the same point. The force constant of the system is:
JIPMER
JIPMER 2000
A
k
B
3k
C
9k
D
$ \frac{k}{9} $
Solution:
We know that when a spring is cut into three equal parts, then the force constant of each part is 3k. Now these are suspended from the same point as a result of this these are connected in parallel. Hence $ {{k}_{\text{parallel}}}=3k+3k+3k=9k $