Two identical object A & B of same mass charged by rubbing against each other. A got positive and B

Two identical object A & B of same mass charged by rubbing against each other. A got positive and B got negative. Then match
Column-I Column-II
(i) Mass of A (p) Increase
(ii) Mass of B (q) Decrease
(iii) Work function of A (r) Is less
(iv) Work function of B (s) Is more
(i) (ii) (iii) (iv)
(a) p q r s
(b) r s q p
(c) q p r s
(d) s r q p
Charge Transfer and Work Function in Physics ⚡️
In this video, we explore a fascinating problem involving the transfer of charge between two identical objects, A and B. When these objects are rubbed against each other, one gains a positive charge while the other gains a negative charge. We will analyze how this affects their mass and work functions. Let's break it down step by step!
Problem Overview 💡:
Two identical objects, A and B, with the same mass are rubbed against each other.
Object A becomes positively charged, and
Object B becomes negatively charged.
We are tasked with matching the following:
Column-I Column-II
(i) Mass of A (p) Increase
(ii) Mass of B (q) Decrease
(iii) Work function of A (r) Is less
(iv) Work function of B (s) Is more
Key Concepts 🔍:
Conservation of Mass and Charge: The total mass of the system remains constant, but charge redistribution can affect the distribution of energy.
Work Function: The work function is the minimum energy required to remove an electron from the surface of a material. A negatively charged object will have a higher work function, and a positively charged object will have a lower work function.
Charge Transfer: When the objects are rubbed together, electrons move from one object to the other. This affects the electrical properties of both objects.
Solution Explanation 🧠:
Mass of A and B: The transfer of charge does not change the total mass of the system. However, the redistribution of energy can affect the object's state and potential energy.
A (positive charge): The energy required to remove electrons from object A is lower, as it’s already positively charged. Thus, its work function decreases.
B (negative charge): On the other hand, object B, being negatively charged, has a higher work function.
Work Function: Since A is positively charged, the work function of A will be less than that of B, which is negatively charged. This is because it takes more energy to remove electrons from a negatively charged surface.
Answer 🔑:
The correct matching is:
(i) Mass of A → (p) Increase
(ii) Mass of B → (q) Decrease
(iii) Work function of A → (r) Is less
(iv) Work function of B → (s) Is more
Thus, the answer is (d) s, r, q, p.
Key Takeaways 🔑:
The work function of positively charged objects is lower, and for negatively charged objects, it's higher.
The redistribution of charge between two objects can lead to changes in the energy required to remove electrons, but mass remains unchanged in this case.
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