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d) What would be the total number of dark bands if the air between the glass plates was replaced by water (nwater = 1.33)? %3D

d) What would be the total number of dark bands if the air between the glass plates was replaced by water (nwater = 1.33)? %3D

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I am uncertain about part d.

**Air Wedge Interference Problem** *Description:* An air wedge of length \( L = 9.0 \, \text{cm} \) is formed between two glass plates (with a refractive index \( n_{\text{glass}} = 1.56 \)) separated at one edge by a small block of height \( d = 0.025 \, \text{mm} \). Light of wavelength \( \lambda = 500 \, \text{nm} \) is normally incident on the wedge from above. *Diagram Explanation:* The diagram shows two parallel glass plates with a small gap between them, which increases linearly from one edge to the other. The gap is maintained by a block with height \( d = 0.025 \, \text{mm} \). The light interference pattern is observed as a series of alternating bright and dark bands along the length of the wedge. *Questions:* a) At what \( x \) values are the first and second bright bands? b) At what \( x \) values are the first and second dark bands? c) What is the total number of dark bands along the entire length of the wedge? d) What would be the total number of dark bands if the air between the glass plates was replaced by water (\( n_{\text{water}} = 1.33 \))? *Note:* The x-values correspond to specific points along the length of the wedge where interference causes bright or dark bands to appear.
Transcribed Image Text:**Air Wedge Interference Problem** *Description:* An air wedge of length \( L = 9.0 \, \text{cm} \) is formed between two glass plates (with a refractive index \( n_{\text{glass}} = 1.56 \)) separated at one edge by a small block of height \( d = 0.025 \, \text{mm} \). Light of wavelength \( \lambda = 500 \, \text{nm} \) is normally incident on the wedge from above. *Diagram Explanation:* The diagram shows two parallel glass plates with a small gap between them, which increases linearly from one edge to the other. The gap is maintained by a block with height \( d = 0.025 \, \text{mm} \). The light interference pattern is observed as a series of alternating bright and dark bands along the length of the wedge. *Questions:* a) At what \( x \) values are the first and second bright bands? b) At what \( x \) values are the first and second dark bands? c) What is the total number of dark bands along the entire length of the wedge? d) What would be the total number of dark bands if the air between the glass plates was replaced by water (\( n_{\text{water}} = 1.33 \))? *Note:* The x-values correspond to specific points along the length of the wedge where interference causes bright or dark bands to appear.
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