A) \[6,\ 2\sqrt{5}\]
B) \[6,\ \sqrt{5}\]
C) \[4,\ 2\sqrt{5}\]
D) None of these
Correct Answer: D
Solution :
Given \[2a=6,\,\,2b=4\]i.e. ,\[a=3,\,\,b=2\] \[{{e}^{2}}=1-\frac{{{b}^{2}}}{{{a}^{2}}}=\frac{5}{9}\]Þ\[e=\frac{\sqrt{5}}{3}\] Distance between the pins \[=2ae=2\sqrt{5}cm\] Length of string \[=2a+2ae=6+2\sqrt{5}cm\].
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