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Structure of Atom Test - 8

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Structure of Atom Test - 8
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  • Question 1
    4 / -1

    The first use of quantum theory to explain the structure of atom was made by :

    Solution

    Bohr's theory was based upon some postulations of classical physics and some postulations of the newly proposed quantum theory of Planck. 

  • Question 2
    4 / -1

    The wavelength associated with a golf ball weighing 200g and moving at a speed of 5m/h is of the order:

    Solution

    From de Broglie wavelength formula; λ = h/p where h=Planck's constant and p=momentum. 
    Putting all the values, we have h=6.626×10-34/(200/1000)(5/3600)
    = 2.3853×10-30
    Order is of 10-30

  • Question 3
    4 / -1

    The longest wavelength of He+ in Paschen series is "m", then shortest wavelength of Be3+ in Paschen series is (in terms of m) :

    Solution

     

    The expression for the wavelength is :


    For the longest wavelength of the He+ atom in Paschen series , the expression becomes 
                   (1)

    For the shortest wavelength of   the expression becomes
               (2)
    Divide equation (2) with equation (1).

    On solving this, we get λ=7/64m

  • Question 4
    4 / -1

    What is uncertainity in location of a photon of wavelength 5000 Å if wavelength is known to an accuracy of 1 pm?

    Solution




    0.0199 m

  • Question 5
    4 / -1

     

    Consider the following nuclear reactions involving X & Y.

    If both neutrons as well as protons in both the sides are conserved in nuclear reaction then moles of neutrons in 4.6 gm of X :

     

    Solution

     

     


    By conservation of mass
    X = 4 + 18 + 1 gm
    = 23
    23 gm → (2 + 10) moles neutrons.

     

     

  • Question 6
    4 / -1

    Electromagnetic radiations having λ = 310 Å are subjected to a metal sheet having work function = 12.8 eV. What will be the velocity of photoelectrons with maximum Kinetic energy.

    Solution



    V2 = 9.56 × 1012
    V = 3.09 × 106 m/sec.

  • Question 7
    4 / -1

    Assuming Heisenberg Uncertainity Principle to be true what could be the miniumum uncertainity in de–Broglie wavelength of a moving electron accelerated by Potential Difference of 6V whose uncertainity in position is 7/22 n.m.

    Solution



  • Question 8
    4 / -1

    A 1-kW radio transmitter operates at a frequency of 880 Hz. How many photons per second does it emit -

    Solution

    Given :
    P = 1 kW
    P = 1 × 103 watt
    E = 103 J/S in one sec
    v = 880 Hz
    ∴ E = nhv
    ⇒  103 x  ×  6.626 × 10–34 × 880
    ⇒  x = 1.71 × 1033 in one sec

  • Question 9
    4 / -1

    The value of Bohr radius of hydrogen atom is -

    Solution


    = 0.529 × 10–10 m
    = 0.529 × 10–8 cm

  • Question 10
    4 / -1

    On the basis of Bohr's model, the radius of the 3rd orbit is -

    Solution

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