(a) Explanation Write the expression for the electro static force on charge, F → = 1 4 π ε 0 q 1 q 2 | r → | 2 r ^ (I) Here, F → is the magnitude of the electric forces, 1 4 π ε 0 is the static constant, r is the distance between the charges, q 1 , q 2 are the magnitude of the charges and ε 0 is the permittivity of free space. Write the expression for the electric force on proton due to alpha particle, F → o n p r o t o n b y a l p h a = 1 4 π ε 0 q 1 q 2 | r → | 2 r ^ (II) Here, F → o n p r o t o n b y a l p h a is the magnitude of the electric force on proton by alpha particle. Write the expression for the separation between the proton and alpha particle, r → = r p − r a (III) Here, r → is the separation between the proton and alpha particle, r p is the distance of the proton and r a is the distance of the alpha particle. Write the expression for the magnitude of separation between the proton and alpha particle, | r → | = r x 2 + r y 2 (IV) Here, | r → | is the magnitude of separation between the proton and alpha particle Write the expression for the unit vector of r → , r ^ = r → | r → | (V) Here, r ^ is the unit vector of r → . Conclusion: Substitute 〈 1.5 × 10 − 9 , 0 , 2 × 10 − 9 〉 m for r p and 〈 0 , 0 , − 2 × 10 − 9 〉 m for r a in (III), r → = 〈 1.5 × 10 − 9 , 0 , 2 × 10 − 9 〉 m − 〈 0 , 0 , − 2 × 10 − 9 〉 m = 〈 1.5 × 10 − 9 , 0 , 4 × 10 − 9 〉 m Substitute 1.5 × 10 − 9 m for r x and 4 × 10 − 9 m for r y in (IV), | r → | = ( 1 (b) To determine The electric force on alpha particle the due to proton.

4th Edition

ISBN: 9781119462033

Author: CHABAY

Publisher: WILEY

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Chapter 3, Problem 38P

(a)

To determine

The electric force on the proton due to alpha particle.

(b)

To determine

The electric force on alpha particle the due to proton.

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Chapter 3, Problem 36P

Chapter 3, Problem 39P

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