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Q.

Of   the  four  choices  given after  the statements  choose  the one that  best describes  the two statements If   two  springs S1 andS2 of   force constants  k1 and k2   respectively  are stretched by the same  force  ,it is found that  more  work is done on springs S1 than on spring S2
Statement I:  If  stretched  by the same amount  work done on S1 will be more  than that  on  S2.
Statement II:  k1<k2

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a

Statement  1 is  true , statement 2 is false 

b

Statemet 1 is  true ,Statement  2 is true Statement 2 is the correct  explanation  for Statement 1 

c

Statement  1 is true ,Statement 2 is true ,Statement  2 is  not the correct  explanation for Statement 1

d

Statement  1 is false ,statement 2  is true 

answer is A.

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Detailed Solution

work done , w=12kx2
work done by spring   S1,w1=12k1x2
work done by spring    S2,w2=12k2x2 
Since  w1>w2  Thus(k1>k2)

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Of   the  four  choices  given after  the statements  choose  the one that  best describes  the two statements If   two  springs S1 and S2 of   force constants  k1 and  k2   respectively  are stretched by the same  force  ,it is found that  more  work is done on springs S1 than on spring S2. Statement I:  If  stretched  by the same amount  work done on S1 will be more  than that  on  S2.Statement II:  k1<k2