In a Rutherford scattering experiment when a projectile of charge z_1 and mass M_1 approaches a target nucleus of charge z_2 and mass M_2 , the distan - Physics MCQ Physics | ExamTest.live

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In a Rutherford scattering experiment when a projectile of charge z_{1} and mass M_{1} approaches a target nucleus of charge z_{2} and mass M_{2}, the distance of closest approach is r_{0} . The energy of the projectile is:

A $directly proportional to z_{1} z_{2}$
B $inversely proportional to z_{1}$
C $directly proportional to mass M_{1}$
D $directly proportional to M_{1} \times M_{2}$

Solution & Step-by-step Explanation

At the distance of closest approach r_{0}, the entire initial kinetic energy (K) of the projectile is converted into electrostatic potential energy (U): K = U = \frac{1}{4 π ϵ _{0}} \frac{q _{1} q _{2}}{r _{0}} Substituting q_{1} = z_{1} e and q_{2} = z_{2} e : K = \frac{1}{4 π ϵ _{0}} \frac{z _{1} z _{2} e ^{2}}{r _{0}} Therefore, the energy K is directly proportional to the product z_{1} z_{2} .

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In a Rutherford scattering experiment when a projectile of charge z_{1} and mass M_{1} approaches a target nucleus of charge z_{2} and mass M_{2}, the distance of closest approach is r_{0} . The energy of the projectile is:

directly proportional to z_{1} z_{2}

inversely proportional to z_{1}

directly proportional to mass M_{1}

directly proportional to M_{1} \times M_{2}

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In a Rutherford scattering experiment when a projectile of charge $z_{1}$ and mass $M_{1}$ approaches a target nucleus of charge $z_{2}$ and mass $M_{2}$ , the distance of closest approach is $r_{0}$ . The energy of the projectile is:

Solution & Step-by-step Explanation

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In a Rutherford scattering experiment when a projectile of charge z1​ and mass M1​ approaches a target nucleus of charge z2​ and mass M2​, the distance of closest approach is r0​. The energy of the projectile is:

Solution & Step-by-step Explanation

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Discussion

In a Rutherford scattering experiment when a projectile of charge $z_{1}$ and mass $M_{1}$ approaches a target nucleus of charge $z_{2}$ and mass $M_{2}$ , the distance of closest approach is $r_{0}$ . The energy of the projectile is: