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Chapter 2 Structure of The Atom Solutions

Question - 51 : - Following results are observed when sodiummetal is irradiated with different wavelengths. Calculate threshold wavelength.

Answer - 51 : -

Question - 52 : - The ejection of the photoelectrons from thesilver metal in the photoelectric effect experiment can be stopped by applyingthe voltage of 0.35 V when the radiation 256.7 nm is used. Calculate the workfunction for silver metal.

Answer - 52 : -

Question - 53 : - If the photon of the wavelength 150 pm strikesan atom, one of its inner bound electrons is ejected out with a velocity of 1.5x 107 m s-1. Calculate the energy with which it isbound to the nucleus.

Answer - 53 : -

Question - 54 : - Emission transitions in the Paschen series endat orbit n = 3 and start from orbit n and can be represented as v = 3.29 x 1015 (Hz)[1/32 – 1 /n2]
Calculate the value of n if thetransition is observed at 1285 nm. Find the region of the spectrum.

Answer - 54 : -

Question - 55 : - Calculate the wavelength for the emissiontransition if it starts from the orbit having radius 1.3225 nm and ends at211.6 pm. Name the series to which this transition belongs and the region ofthe spectrum.

Answer - 55 : -

Question - 56 : - Dual behaviour of matter proposed by deBroglie led to the discovery of electron microscope often used for the highlymagnified images of biological molecules and other type of material. If thevelocity of the electron in this microscope is 1.6 x 106 m s-1,calculate de Brogile wavelength associated with this electron.

Answer - 56 : -

Question - 57 : - Similar to electron diffraction, neutrondiffraction microscope is also used for the determination of the structure ofmolecules. If the wavelength used here is 800 pm, calculate the characteristicvelocity associated with the neutron.

Answer - 57 : -

Question - 58 : - If the velocity of the electron in Bohr’sfirst orbit is 2.19 x 106 m s-1, calculate the deBrogile wavelength associated with it.

Answer - 58 : -

Question - 59 : - The velocity associated with a proton movingin a potential difference of 1000 V is 4.37 x 105 m s-1.If the hockey ball of mass 0.1 kg is moving with this velocity, calculate thewavelength associated with this velocity.

Answer - 59 : -

Question - 60 : - If the position of the electron is measuredwithin an accuracy of ± 0.002 nm, calculate the uncertainty in the momentum ofthe electron. Suppose the momentum of the electron is h4π x 0.05 nm. Is there any problem in defining this value ?

Answer - 60 : -

Since actual momentumis smaller than the uncertainty in measuring momentum, therefore, the momentumof electron can not be defined.

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