Question

A magnet is suspended horizontally in the earth's magnetic field. When it is displaced and then released it oscillates is a horizontal plane with a period T. If a piece of wood of same moment of inertia (about the axis of rotation) as the magnet is attached to the magnet, what would the new period of oscillation of the system become?

Options

• `"T"/3`

• `"T"/2`

• `"T"/sqrt2`

• `sqrt2."T"`

Answer 1

`bb(sqrt2."T")`

Explanation:

T = 2π `sqrt(I/"MB"_"H")`

T = 2π `sqrt((2"I")/("MB"_"H"))`

= `sqrt2` T