100 watt hour \(=\ldots \ldots \ldots \ldots \ldots\) joule. (a) \(3.6 \times 10^{5} \mathrm{~J}\) (b) \(3.6 \times 10^{6} \mathrm{~J}\) (c) \(36 \times 10^{5} \mathrm{~J}\) (d) \(36 \times 10^{6} \mathrm{~J}\)

Short Answer

Expert verified
\(3.6 \times 10^5\ \mathrm{J}\)

Step by step solution

01

Write down the given value in watt-hours

The given value is 100 watt-hours.
02

Remember the conversion factor between watt-hours and joules

The conversion factor we need to remember is that 1 watt-hour equals 3600 joules.
03

Convert the given value from watt-hours to joules

Using the conversion factor, we can now convert the given value in watt-hours to joules: \[100\ \text{watt-hour} \times 3600\ \frac{\text{joules}}{\text{watt-hour}}\]
04

Calculate the result

Multiply the value by the conversion factor: \[100 \times 3600 = 360000\ \text{joules}\]
05

Write the result in scientific notation

The result can be written in scientific notation as: \[3.6 \times 10^5\ \text{joules}\]
06

Identify the correct option

The correct option is (a) \(3.6 \times 10^5\ \mathrm{J}\), as it matches the calculated value.

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