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
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$\mu=\tan \theta\left(1-\frac{1}{\mathrm{n}^{2}}\right)$
$t'=nt$ $\mathrm{n}=1 \frac{1}{3}=\frac{4}{3}$
$\mu=\tan 45\left[1-\frac{1}{(4 / 3)^{2}}\right]$
$\mu=\frac{7}{16}$
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$Image$
$(A)$ $\mu_1=0 \mu_2 \neq 0$ and $N _2 \tan \theta=\frac{ mg }{2}$
$(B)$ $\mu_1 \neq 0 \mu_2=0$ and $N_1 \tan \theta=\frac{m g}{2}$
$(C)$ $\mu_1 \neq 0 \mu_2 \neq 0$ and $N _2 \tan \theta=\frac{ mg }{1+\mu_1 \mu_2}$
$(D)$ $\mu_1=0 \mu_2 \neq 0$ and $N _1 \tan \theta=\frac{ mg }{2}$
