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A spring has a certain mass suspended from it and its period for vertical position is T. The spring is now cut into two equal halves and the same mass is suspended from one of the halves.The period of vertical oscillation is now

A spring has a certain mass suspended from it and its period for vertical position is T. The spring is now cut into two equal halves and the same mass is suspended from one of the halves.The period of vertical oscillation is now

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Pallavi

Spring constant of spring depends upon number of coil in spring

whent you cut the spring then number of coil remain half of the original

so ner k'=k/(1/2)

             =2k

Given   T=2∏ √(m/k) 


 now  for half spring   T'=2∏ √(m/2k)

                                  =T/√2



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