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In scattering experiment , alpha -partic...

In scattering experiment , `alpha` -particles were deflected by

A

Repulsive force of electrons

B

Repulsive force of gold nucleus

C

Attractive force of electrons

D

Attractive force of gold nucleus

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The correct Answer is:
To solve the question regarding the deflection of alpha particles in a scattering experiment, we can break it down into the following steps: ### Step 1: Understand the Nature of Alpha Particles Alpha particles are the nuclei of helium atoms, consisting of 2 protons and 2 neutrons. They are positively charged due to the presence of protons. **Hint:** Remember that alpha particles are heavy compared to electrons and consist of protons and neutrons. ### Step 2: Identify the Target Material In the scattering experiment, alpha particles are directed towards a thin foil of gold. Gold nuclei are also positively charged due to their protons. **Hint:** Consider the properties of the target material (gold) and its atomic structure. ### Step 3: Analyze the Interaction When the alpha particles approach the gold nuclei, they experience electrostatic forces. The positive charge of the alpha particles will repel the positive charge of the gold nuclei due to Coulomb's law. **Hint:** Recall that like charges repel each other, which is crucial for understanding the deflection. ### Step 4: Consider the Mass Difference The mass of an alpha particle is significantly greater than that of an electron. When an alpha particle collides with a gold nucleus, the momentum change of the alpha particle is significant, while the change in momentum of the gold nucleus is negligible due to its larger mass. **Hint:** Think about how mass affects the outcome of collisions and the conservation of momentum. ### Step 5: Conclusion on Deflection The primary reason for the deflection of alpha particles in the experiment is the repulsive force exerted by the gold nuclei. The attractive forces from the electrons surrounding the nucleus are negligible compared to the repulsive force from the nucleus itself. **Hint:** Focus on the dominant forces at play during the interaction between the alpha particles and the gold nuclei. ### Final Answer In summary, alpha particles are mainly deflected by the repulsive force of the gold nucleus during the scattering experiment. ---
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Assertion : In Rutherford's alpha -particle scattering experiment, most of the alpha -particles were deflected by nearly 180^(@) . Reason : The positive charge of the atom is spread throughout the atom that repelled and deflected the positively charged alpha -particles.

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Rutherford model: The approximate size of the nucleus can be calculated by using energy conservation theorem in Rutherford's alpha -scattering experiment. If an alpha -particle is projected from infinity with speed v towards the nucleus having Z protons, then the alpha -particle which is reflected back or which is deflected by 180^@ must have approached closest to the nucleus .It can be approximated that alpha particle collides with the nucleus and gets back. Now if we apply the energy conservation equation at initial point and collision point then: (P.E.)_i= 0 , since P.E. of two charge system separated by infinite distance is zero. Finally the particle stops and then starts coming back. 1/2m_alpha v_alpha^2+0=0+(Kq_1q_2)/Rimplies 1/2m_alphav_alpha^2=K(2exxZe)/R implies R=(4KZe^2)/(m_alphav_alpha^2) Thus the radius of nucleus can be calculated using above equation. The nucleus is so small a particle that we can't define a sharp boundary for it Radius of a particular nucleus is calculated by the projection of alpha -particle from infinity at a particular speed. Let this radius is the true radius . If the radius calculation for the same nucleus is made by another alpha -particle with half of the earlier speed, then the percentage error involved in the radius calculation is :

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AAKASH INSTITUTE ENGLISH-ATOMS-ASSIGNMENT SECTION A Objective (One option is correct )
  1. In Rutherford's alpha-rays scattering experiment, the alpha particles ...

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  2. In Rutherford's experiment , scattering of more than 1^@ was observed ...

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  3. In scattering experiment , alpha -particles were deflected by

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  4. Energy of the beam of alpha-particles used by Geiger and Marsden in sc...

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  5. Source of alpha-particles used in scattering experiment was

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  6. What is the distance of closest approach to the nucleus for an alpha-p...

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  7. An alpha-particle colliding with one of the electrons in a gold atom l...

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  8. The angular momentum of an electron in a hydrogen atom is proportional...

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  9. When an electron in hydrogen atom is taken from fourth excited state t...

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  10. What is the angular momentum of an electron in Bohr's hydrogen atom wh...

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  11. The ground state energy of H-atom is 13.6 eV. The energy needed to ion...

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  12. The energies of three conservative energy levels L3,L2 and L1 of hydro...

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  13. The product of angular speed and tangential speed of electron in n^"th...

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  14. The speed of an electron in the 4^"th" orbit of hydrogen atom is

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  15. What should be the ratio of minimum to maximum wavelength of radiation...

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  16. The ratio of energies of hydrogen atom in its first excited state to t...

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  17. How many spectral lines are emitted by atomic hydrogen excited to the ...

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  18. The energy of hydrogen atom in its ground state is -13.6 eV , the ener...

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  19. In which transition of a hydrogen atom, photons of lowest frequency ar...

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  20. Total energy of an electron in the hydrogen atom in the ground state i...

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