A) 25%
B) 5%
C) 56%
D) 38%
E) 65%
Correct Answer: C
Solution :
The relation between K and p is \[P=\sqrt{2K}m\] when increased by 25%, we have \[P=P+\frac{25}{100}P=\frac{5P}{4}\] \[\Rightarrow \] \[\frac{4p}{5p}=\frac{{{K}_{1}}}{{{k}_{2}}}\] \[\Rightarrow \] \[\frac{{{K}_{1}}}{{{k}_{2}}}=\frac{16}{25}\] Hence, percentage increase is \[=\frac{25-16}{16}\times 100=\frac{9}{16}\times 100=56.25%\]
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