Physics-
General
Easy

Question

If in hydrogen atom, radius of n to the power of t h end exponent Bohr orbit is r subscript n end subscript, frequency of revolution of electron in n to the power of t h end exponent orbit is f subscript n end subscript, choose the correct option

  1.    
  2.    
  3.    
  4. Both (a) and (b)    

The correct answer is: Both (a) and (b)


    Radius of n to the power of t h end exponentorbit r subscript n end subscript proportional to n to the power of 2 end exponent, graph between r subscript n end subscript and n is a parabola. Also, fraction numerator r subscript n end subscript over denominator n subscript 1 end subscript end fraction equals open parentheses fraction numerator n over denominator 1 end fraction close parentheses to the power of 2 end exponent rightwards double arrow log subscript e end subscript invisible function application open parentheses fraction numerator r subscript n end subscript over denominator r subscript 1 end subscript end fraction close parentheses equals 2 log subscript e end subscript invisible function application left parenthesis n right parenthesis
    Comparing this equation with y equals m x plus c
    Graph between log subscript e end subscript invisible function application open parentheses fraction numerator r subscript n end subscript over denominator r subscript 1 end subscript end fraction close parentheses and log subscript e end subscript invisible function application left parenthesis n right parenthesis will be a straight line, passing from origin
    Similarly it can be proved that graph between log subscript e end subscript invisible function application open parentheses fraction numerator f subscript n end subscript over denominator f subscript 1 end subscript end fraction close parentheses and log subscript e end subscript invisible function application n is a straight line. But with negative slope

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