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Q.

A uniform spring has an unstretched length L and a force constant k. The spring is cut into two parts of unstretched lengths l1,l2 and such that l1=ηl2 where η is an integer. The corresponding force constants arek1and k2 ; then identify the wrong statements below.

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a

k(η1)ηand k(η+1)

b

force has to be kept same to findk1and k2          

c

k(η+1)ηand k(η+1)

d

k(η+1)ηand k(η1)

answer is A, B, C.

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Detailed Solution

For given spring Kl=k1l1=k2l2=  constant

k1η12=k212k1η=k2(1)

1k=1k1+1k2(2)

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From (1) and (2)

k2=k2=k(η+1)η,k1=k(η+1)

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