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Structure Of Atom

Question
CBSEENCH11005273
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Calculate the energy associated with first orbit of He+. What is the radius of this orbit? 

Solution

We know, 
           straight E subscript straight n space equals space fraction numerator left parenthesis negative 13.595 space eV right parenthesis straight Z squared over denominator straight n squared end fraction atom to the power of negative 1 end exponent
Here n = 1: Z = 2 for He+
therefore space space space space straight E subscript 1 space equals space fraction numerator negative 13.595 space eV cross times space 4 over denominator 1 squared end fraction space equals space minus 54.380 space eV

Also we know,
        straight r subscript straight n space equals space fraction numerator left parenthesis 0.529 space straight Å right parenthesis space straight n squared over denominator straight Z end fraction Here comma space space space straight n space equals space 1 space space space or space space straight Z space equals space 2 space space space for space He to the power of plus therefore space space space space space straight r subscript 1 space equals space fraction numerator 0.529 space space straight Å space cross times space 1 squared space over denominator 2 end fraction space equals space 0.2645 space straight Å

Some More Questions From Structure of Atom Chapter

Who discovered neutron?

What is a neutron?

What is the name of the remaining part of atom except outer orbit?

Name the particles which determine the mass of an element.

What are α-particles?

Why were neutrons discovered very late?

What are the fundamental particles present in a neutral atom having atomic number greater than 1?

Do protons and neutrons have identical mass?

When α-particles are sent through a thin metal foil, most of them go straight through the foil. What inference do you draw from it?

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