A block of mass 1 kg , moving along $x$ with speed $v_i=10 \mathrm{~m} / \mathrm{s}$ enters a rough region ranging from $x=0.1 \mathrm{~m}$ to $x=1.9 \mathrm{~m}$. The retarding force acting on the block in this range is $\mathrm{F}_{\mathrm{r}}=-\mathrm{kr} \mathrm{N}$, with k $=10 \mathrm{~N} / \mathrm{m}$. Then the final speed of the block as it crosses rough region is.
$$ \text {The truth table corresponding to the circuit given below is: } $$

A monochromatic light of frequency $5 \times 10^{14} \mathrm{~Hz}$ travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be :
$$ \text { Match the LIST-I with LIST-II } $$
| LIST-I |
LIST-II |
||
|---|---|---|---|
| A. | $$ \text { Boltzmann constant } $$ |
I | $$ \mathrm{ML}^2 \mathrm{~T}^{-1} $$ |
| B | $$ \text { Coefficient of viscosity } $$ |
II | $$ \mathrm{MLT}^{-3} \mathrm{~K}^{-1} $$ |
| C | $$ \text { Planck's constant } $$ |
III | $$ \mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1} $$ |
| D | $$ \text { Thermal conductivity } $$ |
IV | $$ \mathrm{ML}^{-1} \mathrm{~T}^{-1} $$ |
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