A : For an object in rolling motion rotational kinetic energy is always equal to translational kinetic energy.
R : For an object in rolling motion magnitude of linear speed and angular speed are equal.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion,
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion,
C. If Assertion is true statement but Reason is false,
D. If both Assertion and Reason are false statements,

Answer

To solve the assertion and reason question, we need to analyze both statements carefully.

### Step-by-Step Solution:

1. **Understanding Rolling Motion**:
- Rolling motion is a combination of translational motion (movement of the center of mass) and rotational motion (spinning around an axis).
- The total kinetic energy of a rolling object is the sum of its translational kinetic energy and rotational kinetic energy.

2. **Kinetic Energy Formulas**:
- The translational kinetic energy (KE_trans) is given by the formula:
\[ KE_{\text{trans}} = \frac{1}{2} mv^2 \]
- The rotational kinetic energy (KE_rot) is given by the formula:
\[ KE_{\text{rot}} = \frac{1}{2} I \omega^2 \]
- Here, \(m\) is the mass, \(v\) is the linear speed, \(I\) is the moment of inertia, and \(\omega\) is the angular speed.

3. **Relating Linear Speed and Angular Speed**:
- For a rolling object, the relationship between linear speed \(v\) and angular speed \(\omega\) is given by:
\[ v = r \omega \]
- This means that the linear speed is not equal to the angular speed; they are related through the radius \(r\) of the object.

4. **Moment of Inertia**:
- The moment of inertia \(I\) depends on the shape of the object. For example:
- For a solid disk, \(I = \frac{1}{2} m r^2\)
- For a hollow ring, \(I = m r^2\)

5. **Total Kinetic Energy in Rolling Motion**:
- The total kinetic energy of a rolling object can be expressed as:
\[ KE_{\text{rolling}} = KE_{\text{trans}} + KE_{\text{rot}} = \frac{1}{2} mv^2 + \frac{1}{2} I \omega^2 \]
- Substituting \(I\) and \(\omega\) into this equation shows that the translational and rotational kinetic energies are not necessarily equal.

6. **Evaluating the Assertion (A)**:
- The assertion states that "for an object in rolling motion, rotational kinetic energy is always equal to translational kinetic energy." This is **false** because the values of translational and rotational kinetic energies depend on the object's shape and mass distribution.

7. **Evaluating the Reason (R)**:
- The reason states that "for an object in rolling motion, the magnitude of linear speed and angular speed are equal." This is also **false** because, as established, \(v = r \omega\), indicating they are related but not equal.

### Final Conclusion:
Both the assertion and reason are false.

### Answer:
Both assertion (A) and reason (R) are false.