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What is the wavelength of the series limit of Paschen series of H-spectra?

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Important Questions on Structure of Atom

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The electronic energy in a hydrogen atom is given by En=-2.18×10-18n2 J atom-1. What will be the energy required to remove an electron completely from n=2 and the longest wavelength of light in centimeters that can be used to cause this transition, respectively?
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In a hydrogen atom, electron de excites from the third excited state to the ground state. What is the frequency of emitted radiation?
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Suppose that a hypothetical atom gives a red, green, blue & violet line spectrum. Which jump according to the figure would give off the red spectral line?

 

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An electron in a hydrogen-like atom makes the transition from a state in which its de-Broglie wavelength is λ1 to a state where its de-Broglie wavelength is λ2. What will be the wavelength of the photon (λ) generated?
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In H- spectrum, on one side of Brackett series, lies the Paschen series while on other side lies the Pfund series, then the second line of Brackett series towards Pfund end is:
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Suppose the uncertainty in the position and velocity of a moving particle is 10-5 m and 5.2×10-28 ms-1, respectively. What is the approximate mass of the moving particle?
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If the electron is accelerated by a potential difference of 300 V, then what will be wavelength associated with the moving electron?
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Let the mass of a particle be 1 g and its de-Broglie wavelength 6.63×10-33 m. Then, what will be its velocity?