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The ratio of the emu of charge to esu of...

The ratio of the emu of charge to esu of charge is :

A

`3xx10^(10)`

B

`4.8xx10^(-19)`

C

`1//10`

D

`1//300`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the ratio of the electromagnetic unit (EMU) of charge to the electrostatic unit (ESU) of charge, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Units**: - EMU (Electromagnetic Unit) is also known as Abkulam. - ESU (Electrostatic Unit) is used for measuring electric charge in static conditions. 2. **Know the Relationship**: - We need to find the ratio of EMU to ESU. - We know that 1 Coulomb (C) of charge can be expressed in terms of both EMU and ESU. 3. **Coulomb to ESU and EMU Conversion**: - From the information provided, we have: - 1 Coulomb = \(3 \times 10^9\) ESU - 1 Coulomb = \(1 \times 10\) EMU 4. **Set Up the Ratio**: - We want to find the ratio \( \frac{EMU}{ESU} \). - Using the conversions: \[ \frac{EMU}{ESU} = \frac{1 \times 10 \text{ EMU}}{3 \times 10^9 \text{ ESU}} \] 5. **Calculate the Ratio**: - Simplifying the ratio: \[ \frac{1 \times 10}{3 \times 10^9} = \frac{1}{3} \times 10^{-8} = \frac{1}{3} \times 10^{10} \] - Therefore, we can express this as: \[ \frac{EMU}{ESU} = 3 \times 10^{10} \] 6. **Final Answer**: - The ratio of EMU of charge to ESU of charge is \(3 \times 10^{10}\). ### Conclusion: The correct answer is option A: \(3 \times 10^{10}\).
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