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If travelling at equal speed, the longes...

If travelling at equal speed, the longest wavelength of the following matter waves is that for

A

an electron

B

a proton

C

a neutron

D

an alpha particle `(He^(2+))`

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The correct Answer is:
A
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According to Louis de Broglie, a French physicist, every moving material particle has a dual nature i.e., wave and particle nature. The two characters are co-related by de Broglie relation lambda=(h)/(m upsilon(p)). Here lambda represents wave nature while p or m upsilon accounts for the particle nature. Since h is constant , the two characters are inversely proportional to each other. This relationship or equation is valid mainly for microscopic particles such as electrons, protons, atoms, ions, molecules etc. It does not apply to semi-micro or micro particles. If travelling at equal speeds, the longest wavelength of the following matter waves is for

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FIITJEE-ATOMIC STRUCTURE-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
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  2. If n and l are respectively the principal and azimuthal quantum number...

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  7. Which of the following graph is correct for 2s orbital?

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  8. The energy required to melt 1 g ice is 33J. The number of quanta of ra...

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  9. If the wavelength of the first line of the Balmer series of hydrogen ...

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  10. The energy of an electron in the first Bohr orbit for He^(+) ion is -5...

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  11. The maximum number of electrons in a sub shell having the same values ...

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  12. The first four ionization energies of an element are 191, 578, 872, an...

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  13. An electron with velocity v is found to have a certain value of de Bro...

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  14. The wavelength associated with a golf ball weighing 200 g and moving a...

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  15. Given that in H-atom the transitioin energy for n=1 to n=2 is 10.2eV,...

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  16. What is the wavelength of the radiation emitted producing a line in th...

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  17. For silver metal, the threshold frequency v(0) is 1.13x10^(17)Hz. What...

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  18. The energy of the electron in the hydrogen atom is given by the expres...

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  19. The nucleus of an atom can be asssumed to be spherical. The radius of ...

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  20. In Bohr's model of the hydrogen atom the ratio between the period of r...

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