If the radius of curvature of the path of two particles of same mass are in the ratio $$3: 4$$, then in order to have constant centripetal force, their velocities will be in the ratio of :
Match List I with List II
| List - I | List - II | ||
|---|---|---|---|
| (A) | $$\oint \vec{B} \cdot \overrightarrow{d l}=\mu_o i_c+\mu_o \varepsilon_o \frac{d \phi_E}{d t}$$ | (I) | Gauss' law for electricity |
| (B) | $$\oint \vec{E} \cdot \overrightarrow{d l}=\frac{d \phi_B}{d t}$$ | (II) | Gauss' law for magnetism |
| (C) | $$\oint \vec{E} \cdot \overrightarrow{d A}=\frac{Q}{\varepsilon_o}$$ | (III) | Faraday law |
| (D) | $$\oint \vec{B} \cdot \overrightarrow{d A}=0$$ | (IV) | Ampere - Maxwell law |
Choose the correct answer from the options given below:
Two vessels $$A$$ and $$B$$ are of the same size and are at same temperature. A contains $$1 \mathrm{~g}$$ of hydrogen and $$B$$ contains $$1 \mathrm{~g}$$ of oxygen. $$\mathrm{P}_{\mathrm{A}}$$ and $$\mathrm{P}_{\mathrm{B}}$$ are the pressures of the gases in $$\mathrm{A}$$ and $$\mathrm{B}$$ respectively, then $$\frac{P_A}{P_B}$$ is:
In the given circuit, the breakdown voltage of the Zener diode is $$3.0 \mathrm{~V}$$. What is the value of $$\mathrm{I}_{\mathrm{z}}$$ ?

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