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Principle of Superposition

In an electro...

Question

In an electromagnetic wave, the amplitudes of magnetic field $H_{o}$ and $E_{o}$ in free space are related as

A

H_{o} = E_{o}

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B

H = \frac{E_{o}}{c}

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C

H_{o} = E_{o} \sqrt{μ_{o} ε_{o}}

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D

H_{o} = E_{o} \sqrt{\frac{ε_{o}}{μ_{o}}}

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Solution

The correct option is C $H_{o} = E_{o} \sqrt{μ_{o} ε_{o}}$
Relation between $E_{o}$ and $H_{o}$
$\frac{E_{o}}{H_{o}} = \frac{1}{C} = \sqrt{μ_{o} ε_{o}}$
$\Rightarrow H_{o} = E_{o} \sqrt{μ_{o} ε_{o}}$

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Q. Pairs of electrodes and their corresponding standard electrode potentials are given. Arrange the cells constructed by these electrodes in increasing order of emf values.

(a) E l e c t r o d e \to A, E^{o} = - 2.92 V

E l e c t r o d e \to B, E^{o} = - 2.71 V

(b) E l e c t r o d e \to C, E^{o} = - 0.760 V

E l e c t r o d e \to D, E^{o} = - 0.44 V

(c) E l e c t r o d e \to B, E^{o} = - 2.71 V

E l e c t r o d e \to D, E^{o} = - 0.44 V

(d) E l e c t r o d e \to A, E^{o} = - 2.92 V

E l e c t r o d e \to C, E^{o} = - 0.76 V

Q. The standard electrode potentials of the electrodes are given below. Arrange them in decreasing order of ease of oxidation:

(a) E l e c t r o d e - I, E^{o} = - 2.89 V

(b) E l e c t r o d e - I I, E^{o} = - 0.16 V

(c) E l e c t r o d e - I I I, E^{o} = 0.77 V

(d) E l e c t r o d e - I V, E^{o} = - 2.93 V

(e) E l e c t r o d e - V, E^{o} = - 1.67 V

Q. For the reduction of

N O_{3}^{-}

ion in an aqueous solution

E^{o}

0.96 V

E^{o}

for some metal ions are given below:

V^{2 +} (a q) + 2 e^{-} \to V; E^{o} = - 1.19 V F e^{3 +} (a q) + 3 e^{-} \to F e; E^{o} = - 0.04 V A u^{3 +} (a q) + 3 e^{-} \to A u; E^{o} = 1.40 V H g^{2 +} (a q) + 2 e^{-} \to H g; E^{o} = + 0.86 V

The pair(s) of metals that is/are oxidised by

N O_{3}^{-}

in aqueous solution is (are):

Q. The value of E for elements are as follows:

F e^{+ 2} + 2 e \to F e; E^{o} = 0.44 V

F e^{+ 3} + 1 e \to F e^{+ 2}; E^{o} = + 0.77 V

S n^{+ 4} + 2 e \to S n^{+ 2}; E^{o} = + 0.13 V

I_{2} + 2 e \to 2 I; E^{o} = + 0.54 V

C r^{3 +} + 3 e \to C r; E^{o} = 0.74 V

Based on the above data correct statements are:

E^{o}

values given, state which statements are correct?

\frac{1}{2} F_{2} + e^{-} ⟶ F^{-}

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\frac{1}{2} C l_{2} + e^{-} ⟶ C l^{-}

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\frac{1}{2} B r_{2} + e^{-} ⟶ B r^{-}

E^{o}

\frac{1}{2} I_{2} + e^{-} ⟶ I^{-}

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