Question:medium

A hypothetical electromagnetic wave is show below.
electromagnet
The frequency of the wave is x × 1019 Hz. x = ______ (nearest integer)

Updated On: Feb 24, 2026
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Correct Answer: 5

Solution and Explanation

The frequency \( f \) of an electromagnetic wave is determined by its wavelength \( \lambda \) using the formula \( f = \frac{c}{\lambda} \), where \( c \) represents the speed of light (approximately \( 3 \times 10^8 \) m/s). With a given wavelength of \( \lambda = 1.5 \) pm, we first convert this to meters: \( 1.5 \) pm is equivalent to \( 1.5 \times 10^{-12} \) m.
Substituting these values into the equation:
\( f = \frac{3 \times 10^8}{1.5 \times 10^{-12}} \approx 2 \times 10^{20} \) Hz.
This calculated frequency corresponds to a value of \( x = 20 \).
The specified range for \( x \) is from 5 to 5, indicating that \( x \) should be an integer within this inclusive range. This appears to be an inconsistency. If we consider the calculated value of \( x \) as \( 20 \), it falls outside the specified range of 5. Therefore, clarification regarding the range specification might be necessary.
The closest integer value for \( x \) based on the calculation remains \( 20 \).

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