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What Is the Period of the Microwave in Problem 13?

Microwaves are a common household appliance used to quickly heat or cook food. They utilize electromagnetic waves with a specific frequency range to generate heat by exciting water molecules in the food. The period of a microwave refers to the time it takes for one complete wave cycle to occur. In Problem 13, we will explore how to calculate the period of a microwave and understand its significance.

Problem 13: Calculate the period of a microwave with a frequency of 2.45 GHz.

To calculate the period of a microwave, we can use the formula:

Period (T) = 1 / Frequency (f)

Given that the frequency (f) of the microwave is 2.45 GHz (gigahertz), we can substitute this value into the formula:

T = 1 / 2.45 GHz

Now, let’s convert the frequency from gigahertz to hertz:

1 GHz = 1,000,000,000 Hz

Therefore, 2.45 GHz = 2.45 × 1,000,000,000 Hz = 2,450,000,000 Hz

Now we can substitute this value into the formula:

T = 1 / 2,450,000,000 Hz

Calculating this equation, we find that the period of the microwave is approximately 4.08 × 10^(-10) seconds. This means that it takes 4.08 × 10^(-10) seconds for one complete wave cycle to occur in the microwave.

FAQs:

Q: Why is it important to know the period of a microwave?

A: Understanding the period of a microwave allows us to comprehend the time it takes for one complete wave cycle to occur. This knowledge can help in troubleshooting any issues that may arise while using a microwave, as well as assist in optimizing cooking times for different food items.

Q: Can the period of a microwave be changed?

A: The period of a microwave is determined by its frequency. In most microwave ovens, the frequency is fixed and cannot be changed by the user. However, certain high-end models may have adjustable frequency settings, allowing the user to alter the period of the microwave.

Q: What is the relationship between frequency and period in a microwave?

A: The period of a wave is inversely proportional to its frequency. This means that as the frequency increases, the period decreases, and vice versa. In the case of a microwave, which operates within a specific frequency range, a higher frequency will result in a shorter period.

Q: How does the period of a microwave affect cooking times?

A: The period of a microwave affects cooking times by determining the speed at which the electromagnetic waves penetrate and heat the food. A shorter period (higher frequency) allows for faster heating, while a longer period (lower frequency) may require more time to achieve the desired level of heat.

Q: Are all microwaves in the same frequency range?

A: Yes, most domestic microwave ovens operate within the same frequency range, typically around 2.4 to 2.5 GHz. This is because this frequency range is regulated by international standards to ensure minimal interference with other electronic devices.

In conclusion, the period of a microwave refers to the time it takes for one complete wave cycle to occur. By calculating the period using the formula T = 1 / f, we can determine the time it takes for the microwave to complete one cycle. Understanding the period of a microwave is important for troubleshooting and optimizing cooking times.

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