Physics questions on optics, photoelectric effect, RLC circuits, and hydrogen spectrum.

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The image presents a set of physics questions, likely from a homework assignment or exam. The questions cover topics in optics, photoelectric effect, RLC circuits, and hydrogen spectrum. They require derivations, explanations, and discussions of practical applications and significance.

Answer

Concise answers provided for: Lens Maker's Formula, Photoelectric Effect, RLC Circuit Impedance & Resonance, and Hydrogen Spectrum (Balmer Series). See full answer for details.

Here are concise answers to the physics questions:

  1. Lens Maker's Formula: The Lens Maker's Formula relates the focal length of a lens to its refractive index and the radii of curvature of its two surfaces. It's used in designing lenses for specific optical applications like eyeglasses, cameras, and microscopes.

  2. Photoelectric Effect: The photoelectric effect is the emission of electrons when light hits a material. Einstein's equation is: \[KE_{max} = hf - \phi\] where KEmax is the maximum kinetic energy of emitted electrons, h is Planck's constant, f is the frequency of the light, and \phi is the work function of the material.

  3. RLC Circuit: For an RLC series circuit, the impedance (Z) is: \[Z = \sqrt{R^2 + (X_L - X_C)^2}\] where R is resistance, XL is inductive reactance, and XC is capacitive reactance. Resonance occurs when XL = XC.

  4. Hydrogen Spectrum (Balmer Series): The wavelengths for the Balmer series are given by: \[\frac{1}{\lambda} = R_H (\frac{1}{2^2} - \frac{1}{n^2}) \] where RH is the Rydberg constant and n is an integer greater than 2 (n = 3, 4, 5, ...).

Answer for screen readers

Here are concise answers to the physics questions:

  1. Lens Maker's Formula: The Lens Maker's Formula relates the focal length of a lens to its refractive index and the radii of curvature of its two surfaces. It's used in designing lenses for specific optical applications like eyeglasses, cameras, and microscopes.

  2. Photoelectric Effect: The photoelectric effect is the emission of electrons when light hits a material. Einstein's equation is: \[KE_{max} = hf - \phi\] where KEmax is the maximum kinetic energy of emitted electrons, h is Planck's constant, f is the frequency of the light, and \phi is the work function of the material.

  3. RLC Circuit: For an RLC series circuit, the impedance (Z) is: \[Z = \sqrt{R^2 + (X_L - X_C)^2}\] where R is resistance, XL is inductive reactance, and XC is capacitive reactance. Resonance occurs when XL = XC.

  4. Hydrogen Spectrum (Balmer Series): The wavelengths for the Balmer series are given by: \[\frac{1}{\lambda} = R_H (\frac{1}{2^2} - \frac{1}{n^2}) \] where RH is the Rydberg constant and n is an integer greater than 2 (n = 3, 4, 5, ...).

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The answers include the formulas and concepts requested in the image.

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Pay close attention to the definitions of each variable while studying these concepts.

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