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 explanation for statement 1
D) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1
Correct Answer: A
Solution :
\[{{k}_{1}}{{x}_{1}}={{k}_{2}}{{x}_{2}}=F\] \[{{W}_{1}}=\frac{1}{2}\,\,{{k}_{1}}{{x}_{1}}^{2}=\frac{{{({{k}_{1}}{{x}_{1}})}^{2}}}{2{{k}_{1}}}=\frac{{{F}^{2}}}{2{{k}_{1}}}\] Similarly \[{{W}_{2}}=\frac{{{F}^{2}}}{2{{k}_{2}}}\] \[\Rightarrow \] \[W\propto \frac{1}{k}\] \[{{W}_{1}}>{{W}_{2}}\] \[\Rightarrow {{k}_{1}}<{{k}_{2}}\] statement-2 is true. Statement-1 \[{{W}_{1}}=\frac{1}{2}{{k}_{1}}\,{{x}^{2}}\] \[{{W}_{2}}=\frac{1}{2}{{k}_{1}}\,{{x}^{2}}\] So , \[{{W}_{2}}>{{W}_{1}}\] Statement-1 is false.You need to login to perform this action.
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