Question Details

If the value of resistance is 10.845 ohms and the value of current is 3.23 amperes, the potential difference is 35.02935 volts. Its value in significant number would be

Options

A

35 V

B

35.0 V

C

35.03 V

D

35.025 V

Correct Answer :

35.0 V

Solution :

The correct answer is 35.0 V.

Step-by-step Explanation:

1. Identify the given values and their significant figures:
- The value of resistance (R) is 10.845 Ω, which has 5 significant figures.
- The value of current (I) is 3.23 A, which has 3 significant figures.

2. Determine the potential difference:
According to Ohm's law, the potential difference (V) is calculated as:
V=I×R
Using the raw values:
V=3.23×10.845=35.02935 V

3. Apply the rules of significant figures for multiplication:
When multiplying or dividing numbers, the final result must be rounded to the same number of significant figures as the measurement with the fewest significant figures.
- Resistance has 5 significant figures.
- Current has 3 significant figures.
Therefore, the final potential difference must be rounded to 3 significant figures.

4. Rounding the result:
Rounding 35.02935 V to 3 significant figures gives 35.0 V (since the digit after the first decimal place is 2, we round down).

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