A $\sqrt{34}\,m$ long ladder weighing $10\,kg$ leans on a frictionless wall. Its feet rest on the floor $3\,m$ away from the wall as shown in the figure. If $F_{f}$ and $F_{w}$ are the reaction forces of the floor and the wall, then ratio of $F _{ a } / F _{f}$ will be:
(Use $\left.g=10\,m / s ^{2}\right)$
A $\sqrt{34}\,m$ long ladder weighing $10\,kg$ leans on a frictionless wall. Its feet rest on the floor $3\,m$ away from the wall as shown in the figure. If $F_{f}$ and $F_{w}$ are the reaction forces of the floor and the wall, then ratio of $F _{ a } / F _{f}$ will be:
(Use $\left.g=10\,m / s ^{2}\right)$
- [JEE MAIN 2022]
- A
$\frac{6}{\sqrt{110}}$
- B
$\frac{3}{\sqrt{113}}$
- C
$\frac{3}{\sqrt{109}}$
- D
$\frac{2}{\sqrt{109}}$
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