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Structure of the Atoms Test - 46

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Structure of the Atoms Test - 46
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Weekly Quiz Competition
  • Question 1
    1 / -0
    In a Bohr's model of an atom when an electron jumps from n=1 to n=3, how much energy will be emitted or absorbed in erg?
    Solution

  • Question 2
    1 / -0
    Which of the following observations was not correct during Rutherford's scattering experiment?
    Solution
    Very few bombarded $$\alpha$$-particles on gold foil were deflected by sharp angles and therefore, it was concluded that the positive charge is concentrated in a very small volume of the atom called nucleus.
    Most of the particles passed through the foil undeflected and was concluded that most of the space in an atom is empty.
    A very few $$\alpha$$-particles (approx. 1 in 12,000) were bounced back.
    So option $$C$$ is only incorrect statement.
  • Question 3
    1 / -0
    Which of the following conclusions regarding the structure of the atom is based on Rutherford's $$\alpha$$-particle scattering experiment?
    Solution
    Very few bombarded $$\alpha$$-particles on gold foil were deflected by sharp angles and therefore, it was concluded that the positive charge is concentrated in a very small volume of the atom called a nucleus. Since few were deflected, the size of the nucleus is very small as compared with atom size.
    option $$A$$ is correct.
  • Question 4
    1 / -0
    Which of the following properties of atom could be explained correctly by Thomson's model of atom?
    Solution

    Hint: All atoms include tiny negatively charged subatomic particles or electrons, according to J.J. Thomson's work with cathode ray tubes.

    Explanation:

    According to the Thomson atom model:

    1. An atom is spherical and has a radius of $$10^{-10}$$ meters.

    2. The positive charge in the atom is evenly distributed.

    3. The electrons are embedded in such a way that the atom's electrostatic configuration is the most stable.

    As a result, the model was able to explain the atom's overall neutrality.

    4. The atom's mass is considered to be evenly distributed across the atom.

    It was unable to account for atomic spectra, atomic stability, or the real distribution of electrons, protons, and neutrons within the atom.

    Final Answer:

    The correct answer is option $$(A)$$.

  • Question 5
    1 / -0
    Radius of $$2nd$$ shell of $$He^+$$ (where $$a_0$$- Bohr radius)
    Solution
    Radius of the Bohr's orbit is given by,
    $$r=\dfrac{h^2n^2}{4\pi^2 m Z e^2}$$
    Substituting values of h, m for helium ion and the electronic charge r may be calculated as 
    $$r=\dfrac{0.529n^2}{Z}A^0$$
    Where $$0.529A^0$$ is is the Bohr's radius $$a_0=0.529$$
    Substituting $$Z=2$$, $$n=2$$
    $$r=2a_0A^0$$

  • Question 6
    1 / -0
    Atomic radius is of the order of $$10^{-8}\ cm$$ and nuclear radius is of the order of $$10^{-13}\ cm$$. The fraction of atom occupied by nucleus is:
    Solution
    A nucleus is the positively charged center of the atom consisting of protons and neutrons. It's also known as the "atomic nucleus". Nearly all the mass of an atom is contained within the nucleus, since protons and neutrons have much more mass than electrons

    according to qes.
    Volume of nucleus = $$\dfrac{4}{3}{\pi}r^3$$ = $$\dfrac{4}{3}\pi({10^{-3}})^3 cm^3$$
    Volume of atom = $$\dfrac{4}{3}\pi({10^{-8}})^3cm^3$$

    $$\dfrac{V_N}{V_{atom}}$$ $$=$$ $$\dfrac{10^{-39}}{10^{-24}}$$

    $$\dfrac{V_N}{V_{atom}}$$ $$=$$ $$10^{-15}$$

  • Question 7
    1 / -0
    Which of the following conclusions could not be derived from Rutherford's $$\alpha$$-particles scattering experiment?
    Solution
    Based on Rutherford's $$\alpha$$-particles scattering experiment, the nuclear model of the atom was proposed as:
    (i) Positive charge and most of the mass of the atom is densely concentrated in an extremely small region called the nucleus. The radius of the nucleus is about $$10^5$$ times less than the radius of the atom.
    (ii) The electrons revolve around the nucleus in circular paths.
    (iii) Electrons and the nucleus are held together by electrostatic forces of attraction.
    The revolution of the electron in a circular orbit is not expected to be stable. Any particle in a circular orbit would undergo acceleration. During acceleration, charged particles would radiate energy. Thus, the revolving electron would lose energy and finally fall into the nucleus. If this were so, the atom should be highly unstable and hence matter would not exist in the form that we know. The concept of stationary state or orbits with fixed energy was given by Bohr's theory and not by Rutherford's theory.
  • Question 8
    1 / -0
    What is the ratio of time periods $$(\dfrac{T_1}{T_2})$$ in $$2^{nd}$$ orbit of hydrogen atom to third orbit of $$He^+$$ ion?
    Solution
    $$\dfrac{T_H}{T_{He}}=\dfrac{n_1^3t_2^2}{n_2^3t_1^2}$$ 

    $$= \dfrac{8\times4}{3^3}=\dfrac{32}{27}$$ 

    The ratio is $$32:27$$.
  • Question 9
    1 / -0
    A single electron orbits a stationary nucleus of charge $$+Z$$, where $$Z$$ is a constant. It requires 47.2 eV to excite electron from second Bohr orbit to third Bohr orbit, find the value of $$Z$$.
    Solution
    Position is $$n_1=2 \ \Rightarrow n_2=3$$ and $$\Delta E=47.2eV$$
    We have $$\Delta E=13.6z^2(\dfrac{1}{n_1^2}− \dfrac{1}{n_2^2})eV$$
    $$47.2=13.6z^2(\dfrac{1}{2^2}− \dfrac{1}{3^2})$$
    $$z=5$$
  • Question 10
    1 / -0
    The nucleus of the atom $$\left( Z>1 \right) $$ consists of:
    Solution
    The atomic nucleus is the central area of the atom. It is composed of two kinds of subatomic particles: protons and neutrons.The protons and neutrons held together to form the dense area of the nucleus.

    For atoms havng $$Z>1$$ nucleus contains protons and neutrons.
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