A body takes $1\frac{1}{3}$ times as much time to slide down a rough identical but smooth inclined plane. If the angle of inclined plane is $45^o$, the coefficient of friction is
A$\frac{7}{16}$
B$\frac{9}{16}$
C$\frac{7}{9}$
D$\frac{3}{4}$
Medium
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A$\frac{7}{16}$
a $\mu=\tan \theta\left(1-\frac{1}{\mathrm{n}^{2}}\right)$
$t'=nt$ $\mathrm{n}=1 \frac{1}{3}=\frac{4}{3}$
$\mu=\tan 45\left[1-\frac{1}{(4 / 3)^{2}}\right]$
$\mu=\frac{7}{16}$
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