FIITJEE|Exercise (NUMERICAL BASED QUESTIONS)|4 Videos
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The wavelengths of K_alpha X-rays from lead isotopes Pb^(204) , Pb^(206) and Pb^(208) are lambda_1, lambda_2 and lambda_3 respectively. Choose the correct alternative.
The wavelength of the short radio waves, microwaves, ultraviolet waves are lambda_(1),lambda_(2) and lambda_(3) , respectively, Arrange them in decreasing order.
A dye absorbs a photon of wavelength lambda and re - emits the same energy into two phorons of wavelengths lambda_(1) and lambda_(2) respectively. The wavelength lambda is related with lambda_(1) and lambda_(2) as :
The wavelengths and frequencies of photons in transition 1,2 and 3 for hydrogen like atom are lambda_(1),lambda_(2),lambda_(3), v_(1),v_(2) and v_(3) respectively. Then:
X-ray are produced in an X-ray tube operating at a given accelerating voltage. The wavelength of the continuous X-ray has values from. (a) 0 to oo (b) lambda_(min) to oo, where lambda_(min) gt 0 (c ) 0 to lambda_(max), where lambda_(max) ltoo (d) lambda_(min) ot lambda_(max) , where 0ltlambda(min) lt lambda_(max) lt oo
When radiations of wavelength lambda_(1), lambda_(2) (= 0.6 lambda_(1)), lambda_(3) (= 4lambda_(2)) and lambda_(4) are incident on a metal plate, photoelectrons with maximum kinetic energy of – 5.2 eV are emitted for lambda_(1), 12 eV are emitted for lambda_(2), 0.95 eV are emitted for lambda_(4) and no electron is emitted for l3. It is known that a hydrogen like atom (atomic number Z) in a higher excited state of quantum number n can make a transition to first excited state by successively emitting two photons of wavelength lambda1 and lambda_(2) respectively. Alternatively, the atom from same excited state can make a transition to the second excited state by successively emitting two photons of wavelength lambda_(3) and lambda_(4) respectively. (a) Find the work function of the metal. (b) Find the values of n and Z for the atom.
The wavelength of electron waves in two orbits (lambda_(1) : lambda_(2))
X-ray from a tube with a target A of atomic number Z shows strong K lines for target A and weak K lines for impurities. The wavelength og K_(alpha) lines is lambda_(z) for target A and lambda_(1) and lambda_(2) for two impurities. (lambda_(z))/(lambda_(1)) = 4 and (lambda_(z))/(lambda_(2)) = (1)/(4) Assuming the screeining contant of K_(alpha) lines to be unity select the correct statement(s).
Cut off potentials for a metal in photoelectric effect for light of wavelength lambda_(1), lambda_(2) and lambda_(3) is found to be V_(1), V_(2) and V_(3) volts if V_(1), V_(2) and V_(3) are in Arithmetic Progression and lambda_(1), lambda_(2) and lambda_(3) will be :
