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Consider a hypothetical atom made up of a proton and a hypothetical particle of three times the mass of electron but having the charge −2e (e is the electronic charge). Apply the Bohr atom model and consider all possible transitions of this hypothetical particle from the higher energy levels to the first excited level. If Rydberg constant for hydrogen atom is R and λo is the maximum wavelength of photon emitted then find the value of 20λoR. 
    Correct answer is '3'. Can you explain this answer?
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    Consider a hypothetical atom made up of a proton and a hypothetical pa...
    Rydberg constant for hydrogen atom is  
    So, Rydberg constant for this hypothetical atom is R' = R × 3 × 24 = 48R  
    For maximum wavelength emitted nf = 2  and ni = 3  
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    Consider a hypothetical atom made up of a proton and a hypothetical pa...
    The problem involves a hypothetical atom consisting of a proton and a particle with three times the mass of an electron, but with a charge of 2e (where e is the electronic charge). We are asked to apply the Bohr atom model and consider all possible transitions of this hypothetical particle from higher energy levels to the first excited level.

    1. Bohr Atom Model:
    The Bohr atom model is a simplified model of the atom proposed by Niels Bohr in 1913. It considers electrons to orbit around the nucleus in discrete energy levels. The energy of these levels is determined by the angular momentum of the electron.

    2. Transitions from Higher Energy Levels to First Excited Level:
    In the Bohr atom model, electrons can transition from one energy level to another by absorbing or emitting photons. The energy difference between the initial and final energy levels is equal to the energy of the emitted or absorbed photon.

    3. Energy Levels and Transitions:
    In this hypothetical atom, the energy levels can be calculated using the formula:

    E = -R/n^2

    where E is the energy, R is the Rydberg constant, and n is the principal quantum number.

    To find the possible transitions from higher energy levels to the first excited level (n = 2), we can calculate the energy differences for different values of n.

    4. Calculating Energy Differences:
    Let's consider a transition from the nth energy level to the first excited level (n = 2). The energy difference is given by:

    ΔE = E_n - E_2

    Substituting the values of E_n and E_2 from the formula, we get:

    ΔE = -R/n^2 - (-R/2^2)
    = -R(1/n^2 - 1/4)

    5. Maximum Wavelength of Photon Emitted:
    The maximum wavelength of the photon emitted (o) can be calculated using the formula:

    o = c/ΔE

    where c is the speed of light.

    Substituting the value of ΔE, we get:

    o = c/(-R(1/n^2 - 1/4))

    6. Finding 20oR:
    To find the value of 20oR, we need to substitute the value of o in the formula and multiply it by 20:

    20oR = 20 * c/(-R(1/n^2 - 1/4))

    7. Correct Answer:
    The correct answer is given as 3. To confirm this, we need to calculate the value of 20oR using the above formula and the appropriate values for c and R.
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    Can you explain the answer of this question below:The French physicist Louis de-Broglie in 1924 postulated that matter, like radiation, should exhibit a dual behaviour. He proposed the following relationship between the wavelength of a material particle, its linear momentum p and planck constant h.The de Broglie relation implies that the wavelength of a particle should decreases as its velocity increases. It also implies that for a given velocity heavier particles should have shorter wavelength than lighter particles. The waves associated with particles in motion are called matter waves or de Broglie waves.These waves differ from the electromagnetic waves as they,(i) have lower velocities(ii) have no electrical and magnetic fields and(iii) are not emitted by the particle under consideration.The experimental confirmation of the deBroglie relation was obtained when Davisson and Germer, in 1927, observed that a beam of electrons is diffracted by a nickel crystal. As diffraction is a characteristic property of waves, hence the beam of electron behaves as a wave, as proposed by deBroglie.Werner Heisenberg considered the limits of how precisely we can measure properties of an electron or other microscopic particle like electron. He determined that there is a fundamental limit of how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse is also ture. This is summed up in what we now call the Heisenberg uncertainty principle : It is impossible to determine simultaneously and precisely both the momentum and position of a particle. The product of undertainty in the position, x and the uncertainity in the momentum (mv) must be greater than or equal to h/4. i.e.Q.The correct order of wavelength of Hydrogen (1H1), Deuterium (1H2) and Tritium (1H3) moving with same kinetic energy is :A:H D TB:H = D = TC:H D TD:H D TThe answer is a.

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    Consider a hypothetical atom made up of a proton and a hypothetical particle of three times the mass of electron but having the charge 2e (e is the electronic charge). Apply the Bohratom model and consider all possible transitions of this hypothetical particle from the higher energy levels to the first excited level. If Rydberg constant for hydrogen atom is R and o is the maximum wavelength of photon emitted then find the value of 20oR.Correct answer is '3'. Can you explain this answer?
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    Consider a hypothetical atom made up of a proton and a hypothetical particle of three times the mass of electron but having the charge 2e (e is the electronic charge). Apply the Bohratom model and consider all possible transitions of this hypothetical particle from the higher energy levels to the first excited level. If Rydberg constant for hydrogen atom is R and o is the maximum wavelength of photon emitted then find the value of 20oR.Correct answer is '3'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Consider a hypothetical atom made up of a proton and a hypothetical particle of three times the mass of electron but having the charge 2e (e is the electronic charge). Apply the Bohratom model and consider all possible transitions of this hypothetical particle from the higher energy levels to the first excited level. If Rydberg constant for hydrogen atom is R and o is the maximum wavelength of photon emitted then find the value of 20oR.Correct answer is '3'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a hypothetical atom made up of a proton and a hypothetical particle of three times the mass of electron but having the charge 2e (e is the electronic charge). Apply the Bohratom model and consider all possible transitions of this hypothetical particle from the higher energy levels to the first excited level. If Rydberg constant for hydrogen atom is R and o is the maximum wavelength of photon emitted then find the value of 20oR.Correct answer is '3'. Can you explain this answer?.
    Solutions for Consider a hypothetical atom made up of a proton and a hypothetical particle of three times the mass of electron but having the charge 2e (e is the electronic charge). Apply the Bohratom model and consider all possible transitions of this hypothetical particle from the higher energy levels to the first excited level. If Rydberg constant for hydrogen atom is R and o is the maximum wavelength of photon emitted then find the value of 20oR.Correct answer is '3'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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