Assertion: in the case of vibration magnetometer the frequency of vibr...
Sure, I can help you with that.
The answer is Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
The assertion is true because the moment of inertia in the difference position is less than the moment of inertia in the sum position. The reason is also true because the moment of inertia is directly proportional to the square of the distance from the axis of rotation. In the difference position, the distance from the axis of rotation is less than the sum position, so the moment of inertia is also less.
Here is the detailed explanation:
The moment of inertia is a measure of the resistance of a body to rotational motion. It is defined as the sum of the products of the mass of each particle in the body and the square of its distance from the axis of rotation.
In the case of a vibration magnetometer, the moment of inertia is different in the difference position and the sum position. In the difference position, the magnet is closer to the axis of rotation, so the moment of inertia is less. In the sum position, the magnet is further from the axis of rotation, so the moment of inertia is more.
The frequency of vibration of a magnetometer is inversely proportional to the square root of the moment of inertia. This means that the frequency of vibration is more in the difference position and less in the sum position.
Therefore, both the assertion and the reason are true, and the reason is the correct explanation of the assertion.