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)`

Options

A. Statement `1` is false , Statement `2` is true
B. Statement `1` is true , Statement `2` is false
C. Statement `1` is true , Statement `2` is true ,Statement `2` is the correct explantion for Statement `1`
D. Statement `1` is true , Statement `2` is true ,Statement `2` is the not the correct explantion for Statement `1`

Answer

A

Explanation

(a) When force is zero
`W = (1)/(2) kx^(2)`
`W = (1)/(2) k(F^(2))/(k^(2)) [:' F = kx ]`
`:. W = (F^(2))/(2x)`
As ` W_(1) gt W_(2)`
:. K_(1) lt k_(2)`
where extension is same
`W prop k (:. Is same) `
` :. W _(1) lt W_(2) `
Statement `1` is false and statement `2` is true .