The wavelength of ${K_\alpha }$ line for an element of atomic number $29$ is $\lambda $ . Then the wavelength of ${K_\alpha }$ line for an element of atomic no $15$ is (Take mosley‘s constant $b = 1$ for both elements)

  • A

    $\frac{{29}}{{15}}\lambda $

  • B

    $\frac{{28}}{{15}}\lambda $

  • C

    $4\lambda $

  • D

    $2\lambda $

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The following diagram indicates the energy levels of a certain atom when the system moves from $2E$ level to $E$, emitting a photon of wavelength $\lambda $. The wavelength of photon produced during its transition from $\frac{4E}{3}$ level to $E$ is

Explain Rutherford's explanation for scattered $\alpha $ -particles. 

Assertion: The specific charge of positive rays is not constant.
Reason: The mass of ions varies with speed.

  • [AIIMS 1999]

Match List $- I$ (Experiment performed) with List $-II$ (Phenomena discovered/associated) and select the correct option from the options given the lists

List $- I$ List $- II$
$(1)$ Davisson and Genner $(i)$ Wave nature of electrons
$(2)$ Millikan's oil drop experiment $(ii)$ Charge of an electron
$(3)$ Rutherford experiment $(iii)$ Quantisation of energy levels
$(4)$ Franck-Hertz experiment $(iv)$ Existence of nucleus

  • [JEE MAIN 2014]