Relative mass of electron is

Options

A. 1/1837
B. 1/183
C. `1//18`
D. `1//18367`

Explanation

To find the relative mass of an electron, we can follow these steps:

### Step 1: Understand the concept of relative mass
Relative mass is defined as the mass of a particle compared to the mass of a standard reference particle, typically hydrogen in chemistry.

### Step 2: Identify the mass of the electron
The mass of an electron is approximately \(9.11 \times 10^{-31}\) kg.

### Step 3: Identify the mass of hydrogen
The mass of a hydrogen atom (which is the most abundant element and often used as a standard) is approximately \(1.67 \times 10^{-27}\) kg.

### Step 4: Calculate the relative mass of the electron
To find the relative mass of the electron, we use the formula:

\[ \text{Relative mass of electron} = \frac{\text{Mass of electron}}{\text{Mass of hydrogen}} \]

Substituting the values:

\[ \text{Relative mass of electron} = \frac{9.11 \times 10^{-31} \text{ kg}}{1.67 \times 10^{-27} \text{ kg}} \]

### Step 5: Perform the calculation
Calculating the above expression gives:

\[ \text{Relative mass of electron} \approx 0.000545 \]

### Step 6: Round to a standard value
The relative mass of an electron is often rounded and expressed as approximately \( \frac{1}{1836} \) of the mass of a hydrogen atom.

### Final Answer
The relative mass of an electron is approximately \(0.000545\) or \( \frac{1}{1836} \).

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