A cubic block of mass $m$ is sliding down on an inclined plane at $60^{\circ}$ with an acceleration of $\frac{g}{2}$, the value of coefficient of kinetic friction is
Match the List I with List II
List - I | List - II | ||
---|---|---|---|
(A) | Triatomic rigid gas | (I) | $\frac{C_p}{C_v}=\frac{5}{3}$ |
(B) | Diatomic non-rigid gas | (II) | $\frac{C_p}{C_v}=\frac{7}{5}$ |
(C) | Monoatomic gas | (III) | $\frac{C_p}{C_v}=\frac{4}{3}$ |
(D) | Diatomic rigid gas | (IV) | $\frac{C_p}{C_v}=\frac{9}{7}$ |
Choose the correct answer from the options given below:
A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is $1727^{\circ} \mathrm{C}$ and power radiated by the wire is 94.2 W . Its emissivity is $\frac{x}{8}$ where $x=$ _________.
(Given $\sigma=6.0 \times 10^{-8} \mathrm{~W} \mathrm{~m}^{-2} \mathrm{~K}^{-4}, \pi=3.14$ and assume that the emissivity of wire material is same at all wavelength.)
$\mathrm{A}, \mathrm{B}$ and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.
The moment of inertia of the given system about PQ axis is $\frac{x}{15} \mathrm{I}$, where I is the moment of inertia of the disc about its diameter. The value of $x$ is ____________.