https://file.aiquickdraw.com/mathbot/file/1726601306136y7lr3sr6.jpg

Let's go over the questions visible in the image.

### Question 1:
"A solid conducting sphere is given a positive charge \( Q \). How is the charge \( Q \) distributed in or on the sphere?"

Answer marked: **(b) It is uniformly distributed on the surface of the sphere only.**

Explanation:
For a **solid conducting sphere**, the positive charge always resides on the **surface** due to electrostatic repulsion. The charges move until they are uniformly spread across the outer surface of the sphere. Inside a conductor, the electric field is zero, and therefore, there can be no excess charge inside the material itself.

### Question 2:
"An isolated pair of charged particles X and Y, with masses \( m_X \) and \( m_Y = 2m_X \), repel one another. The electrostatic force is the only force between them. If particle X accelerates at \( 2.2 \, \text{m/s}^2 \), what is the acceleration of particle Y?"

We are told that:
- The mass of particle X is \( m_X \)
- The mass of particle Y is \( m_Y = 2m_X \)
- The acceleration of particle X is \( a_X = 2.2 \, \text{m/s}^2 \)
  
Since the force between the two particles is equal and opposite (Newton's Third Law), we can use the formula:

\[
F = m_X a_X = m_Y a_Y
\]

Substituting \( m_Y = 2m_X \) into the equation:

\[
m_X a_X = 2 m_X a_Y
\]

This simplifies to:

\[
a_Y = \frac{a_X}{2} = \frac{2.2 \, \text{m/s}^2}{2} = 1.1 \, \text{m/s}^2
\]

Thus, the acceleration of particle Y is **\( 1.1 \, \text{m/s}^2 \)**, which corresponds to option **(c)**.

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### Further Exploration Questions:
1. Why does the electric field inside a conducting sphere become zero?
2. How does the charge distribution change if the sphere is non-conducting?
3. Can there ever be charge inside a conductor under any conditions?
4. What would happen if the masses of the particles in question 2 were reversed?
5. How does the concept of electro

An isolated pair of charged particles X and Y, with masses mx and my = 2mx, repel one another. The electrostatic force is the only force between them. If particle X accelerates at 2.2 m/s², what is the acceleration of particle Y?

Explore how to calculate the acceleration of charged particles X and Y, given their masses and the acceleration of one particle. This problem involves concepts from Newton's Third Law and electrostatics, suitable for students in Grades 11-12.

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