Clark Watson
09/11/2024 · Junior High School

Identify each symbol in the formula: \( d \sin \theta=m \lambda \)

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In the formula \( d \sin \theta = m \lambda \), each symbol represents a specific physical quantity related to wave phenomena, particularly in the context of diffraction and interference. Here’s what each symbol stands for: - \( d \): This represents the distance between adjacent slits in a diffraction grating or the spacing between the lines in a grating. It is often referred to as the grating spacing. - \( \theta \): This is the angle of diffraction or the angle at which a particular order of the diffracted wave is observed. It is measured from the original direction of the incoming wave. - \( m \): This is the order of the diffraction pattern. It is an integer (0, ±1, ±2, ...) that indicates the specific order of the maximum being considered. For example, \( m = 0 \) corresponds to the central maximum, \( m = 1 \) corresponds to the first-order maximum, and so on. - \( \lambda \): This represents the wavelength of the wave (such as light) being considered. It is the distance between successive peaks (or troughs) of the wave. The equation \( d \sin \theta = m \lambda \) describes the condition for constructive interference in a diffraction pattern produced by a grating or a set of slits.

Quick Answer

- \( d \): Grating spacing - \( \theta \): Angle of diffraction - \( m \): Diffraction order - \( \lambda \): Wavelength
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