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The energy of infrared waves is greater ...

The energy of infrared waves is greater than that of  

A

visible light

B

ultraviolet waves

C

X-rays

D

microwaves

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The correct Answer is:
To determine which type of wave has energy less than that of infrared waves, we can use the relationship between energy and frequency. The energy \( E \) of electromagnetic waves is given by the formula: \[ E = h \nu \] where: - \( E \) is the energy, - \( h \) is Planck's constant (\(6.626 \times 10^{-34} \, \text{Js}\)), - \( \nu \) is the frequency of the wave. ### Step-by-Step Solution: 1. **Identify the Frequency Range of Infrared Waves**: - Infrared waves typically have frequencies ranging from \( 10^{12} \) Hz to \( 10^{14} \) Hz. 2. **Identify the Frequency Ranges of Other Waves**: - **Visible Light**: \( 10^{14} \) Hz to \( 10^{15} \) Hz - **Ultraviolet Waves**: \( 8 \times 10^{14} \) Hz to \( 3 \times 10^{16} \) Hz - **X-Rays**: \( 10^{17} \) Hz to \( 10^{20} \) Hz - **Microwaves**: \( 10^{9} \) Hz to \( 10^{12} \) Hz 3. **Compare Frequencies**: - **Visible Light**: Frequencies are greater than infrared, hence energy is greater. - **Ultraviolet Waves**: Frequencies are greater than infrared, hence energy is greater. - **X-Rays**: Frequencies are greater than infrared, hence energy is greater. - **Microwaves**: Frequencies are less than infrared (up to \( 10^{12} \) Hz), hence energy is less. 4. **Conclusion**: - The energy of infrared waves is greater than that of microwaves because the frequency of microwaves is lower than that of infrared waves. ### Final Answer: The energy of infrared waves is greater than that of microwaves. ---

To determine which type of wave has energy less than that of infrared waves, we can use the relationship between energy and frequency. The energy \( E \) of electromagnetic waves is given by the formula: \[ E = h \nu \] where: - \( E \) is the energy, ...
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