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Formula To Calculate Wavelength Class 11

Wavelength Formula:

\[ \lambda = \frac{v}{f} \]

m/s
Hz

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1. What is Wavelength?

Wavelength (λ) is the distance between two consecutive crests or troughs of a wave. It is a fundamental property of waves and is measured in meters (m) in the SI system.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

\[ \lambda = \frac{v}{f} \]

Where:

Explanation: This formula shows the inverse relationship between wavelength and frequency - as frequency increases, wavelength decreases, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in physics, particularly in wave mechanics, optics, and electromagnetism. It helps determine various wave properties and behaviors.

4. Using the Calculator

Tips: Enter velocity in meters per second (m/s) and frequency in hertz (Hz). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between wavelength and frequency?
A: Wavelength and frequency have an inverse relationship. As frequency increases, wavelength decreases, and vice versa, when velocity is constant.

Q2: How does wavelength affect wave energy?
A: For electromagnetic waves, shorter wavelengths correspond to higher energy photons according to the formula E = hc/λ.

Q3: What are typical wavelength ranges for visible light?
A: Visible light wavelengths range from approximately 380 nm (violet) to 750 nm (red).

Q4: How is wavelength measured experimentally?
A: Wavelength can be measured using interference patterns, diffraction gratings, or by calculating it from known frequency and velocity.

Q5: Does wavelength change when a wave moves between different media?
A: Yes, wavelength changes when a wave moves between media with different propagation speeds, but frequency remains constant.

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