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This question has statement `1` and statement `2` . Of the four choice given after the Statement , choose the one that best describe the two Statement . If the spring `S_(1) `and `S_(2)` of force constant `k_(1)` and `k_(2)` respectively , are streached by the same force , it is found that more work is done on spring `S_(1)` then on spring `S_(2)` Statement -1: If statement by the same answer work done on `S_(1)` work on `S_(1)` is more then `S_(2)` Statement - 2 : `k_(1) ltk_(2)`A. Statement - 1 is ture , statement -2 is true, and statement-2 is correct explanation of statement -1.B. Statement-1 if ture, statement-2 is true, but statement -2 is not a correct explanation of statement-1.C. Statement-1 is true, but statement -2 is false.D. Statement-1 is false, but statement-2 is true. |
Answer» Correct Answer - D Let `x_(1)` be extension produced in `S_(1)` and `x_(2)` be extension produced in `S_(2)`, when two springs are stretched by the same force. `:. F=K_(1)x_(1)=K_(2)x_(2)` `W_(1)=Fx_(1)` and `W_(2)=Fx_(2)` As`W_(1) gt W_(2),Fx_(1) gt Fx_(2)` or `x_(1) gt x_(2)` `:. K_(1) lt K_(2)` Statement 2 is true. When two springs are stretched by the same amount, `i.e., x_(1)=x_(2)=x` `W_(1)=(1)/(2) K_(1)x^(2)` As `K_(1) lt K_(2), W_(1) lt W_(2)`. Statement 1 is false. |
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