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Why is that mass of nucleus does not ent...

Why is that mass of nucleus does not enter the formula for impact parameter but its charge does?

Text Solution

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The scattering of `alpha`-particle occurs due to electrostatic field of the nucleus. That is why charge on nucleus enters the expression for impact parameter and not its mass.
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for scattering by an inverse square law field (such as that produced by a charged nucleus in Rutherford's model), the relation between impact parameter b and the scattering angle theta is given by b=(Ze^2 cot theta//2)/(4pi in_0(1/2mv^2)) (a) What is the scattering angle for b=0? (b) for given impact parameter, b, does the angle of deflection increase or decrease with increase in energy? (c) What is the impact parameter at which the scattering angle is 90^@ for Z=79 and initial energy=10MeV? (d) Why is it that the mass of the nucleus does not enter the formula above, but its charge does? (e) for a given energy of the projectile, does the scattering angle increase or decrease with decrease in impact parameter?

The mass defect in the nucleus is explained by the formula

Knowledge Check

  • Which one does not enter nephron

    A
    Water
    B
    Glucose
    C
    Plasma proteins
    D
    Urea
  • The food does not enter the windpipe due to

    A
    Glottis
    B
    Epiglottis
    C
    Pharynx
    D
    Larynx
  • An alpha- paticle approaches the target nucleus of copper (Z = 29) is such a way that the vlaue of impact parameter is zero. The distance of closest approach will be

    A
    `(2pi epsilon_(0)(K.E.)_(alpha))/(29e^(2))`
    B
    `(29e^(2))/(2pi epsilon_(0)(K.E.)_(alpha))`
    C
    `(4pi epsilon_(0)(K.E.)_(alpha))/(29e^(2))`
    D
    `(K.E.)_(alpha)`
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    For scattering by an inverse-square field (such as that produced by a charged nucleus in Rutherford's model) the relation between impact parameter b and the scattering angle theta is given by, the scattering angle for b=0 is