A flask contains argon and chlorine in the ratio of $2: 1$ by mass. The temperature of the mixture is $27^{\circ} \mathrm{C}$. The ratio of root mean square speed of the molecules of the two gases $\left(\frac{V_{\mathrm{rms}}^{\mathrm{Ar}}}{V_{\mathrm{rms}}^{\mathrm{Cl}}}\right)$ is:
(Atomic mass of argon $=40.0 \mathrm{u}$ and molecular mass of chlorine $=70.0 \mathrm{u}$ )
$\frac{\sqrt{7}}{2}$
$\frac{7}{4}$
$\frac{7}{2}$
$\frac{2}{\sqrt{7}}$
A ray of monochromatic light is passing through an equilateral prism $(A B C)$ as shown in the figure. The refracted ray $(Q R)$ is parallel to its base $(B C)$ and the angle of incidence $(i)$ is $50^{\circ}$. Then the angle of deviation $(\delta)$ is:

$45^{\circ}$
$35^{\circ}$
$40^{\circ}$
$55^{\circ}$
$$ \text { Match List I with List II. } $$
| $$ \text { List-I } $$ |
$$ \text { List-II } $$ |
||
|---|---|---|---|
| A. | $E=h v$ | I. | de Broglie wavelength |
| B. | Diffraction and Interference | II. | Particle nature of light |
| C. | $\lambda=h / p$ | III. | Wave nature of light |
| D. | Compton effect | IV. | Energy of photon |
A-IV, B-I, C-II, D-III
A-IV, B-III, C-II, D-I
A-I, B-IV, C-III, D-II
A-IV, B-III, C-I, D-II
In the first excited state of hydrogen atom, the energy of its electron is -3.4 eV . The radial distance of the electron from the hydrogen nucleus in this case is approximately:
(Take $1 \mathrm{eV}=1.6 \times 10^{-19} \mathrm{~J}, \mathrm{e}=1.6 \times 10^{-19} \mathrm{C}$ and $\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{~N} \mathrm{~m}^2 / \mathrm{C}^2$ )
$2.1 \times 10^{-9} \mathrm{~m}$
$2.1 \times 10^{-8} \mathrm{~m}$
$2.1 \times 10^{-10} \mathrm{~m}$
$2.1 \times 10^{-11} \mathrm{~m}$
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