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If the velocity and wavelength of light in air is Va and λa and that in water is Va and λw, then the refractive index of water is ______.
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When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index.
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An air bubble in a glass slab of refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness of the slab is ______.
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Describe Fizeau’s method to determine the speed of light.
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A small bulb is placed at the bottom of a tank containing water to a depth of 80 cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)
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In J.J. Thomson e/m experiment, a beam of electron is replaced by that of muons (particle with same charge as that of electrons but mass 208 times that of electrons). No deflection condition is achieved only if
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The ratio of the wavelengths for the transition from n =2 to n = 1 in Li++, He+ and H is ______.
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The electric potential between a proton and an electron is given by V = V0 In `("r"/"r"_0)`, where r0 is a constant. Assume that Bohr atom model is applicable to potential, then a variation of radius of nth orbit rn with the principal quantum number n is
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Give the results of Rutherford alpha scattering experiment.
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Write down the postulates of Bohr atom model.
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What is meant by excitation energy?
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Write down the draw backs of the Bohr atom model.
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What is distance of closest approach?
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Define impact parameter.
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In an electron microscope, the electrons are accelerated by a voltage of 14 kV. If the voltage is changed to 224 kV, then the de Broglie wavelength associated with the electrons would
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Explain the J. J. Thomson experiment to determine the specific charge of an electron.
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Derive the energy expression for an eletron is the hydrogen atom using Bohr atom model.
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Discuss the spectral series of hydrogen atom.
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In the Bohr atom model, the frequency of transitions is given by the following expression
v = `"Rc" (1/"n"^2 - 1/"m"^2)`, where n < m
Consider the following transitions:
| Transitions | m → n |
| 1 | 3 → 2 |
| 2 | 2 → 1 |
| 3 | 3 → 1 |
Show that the frequency of these transitions obey sum rule (which is known as Ritz combination principle).
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- A hydrogen atom is excited by radiation of wavelength 97.5 nm. Find the principal quantum number of the excited state.
- Show that the total number of lines in emission spectrum is `("n"("n - 1"))/2`.
Compute the total number of possible lines in emission spectrum as given in(a).
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