State the dimension of the nucleus from Rutherford experiment. 

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What radioactive source did the Geiger and Marsden use in the scattering experiment?

In an alpha particle scattering experiment distance of closest approach for the $\alpha$ particle is $4.5 \times 10^{-14} \mathrm{~m}$. If target nucleus has atomic number $80$ , then maximum velocity of $\alpha$-particle is . . . . .. $\times 10^5$ $\mathrm{m} / \mathrm{s}$ approximately.

$\left(\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{SI}\right.$ unit, mass of $\alpha$ particle $=$ $\left.6.72 \times 10^{-27} \mathrm{~kg}\right)$

  • [JEE MAIN 2024]

What is plum pudding model of the atom ? 

The wavelength of the first line of Balmer series of hydrogen atom is $\lambda \,\mathop A\limits^o $. The wavelength of this line of a double ionised lithium atom $(Z = 3)$is

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]