Does the tilt of the earth changes throughout the year

True or false

No, it just looks that way as it follows its elliptical path around the sun. It is tilted approximately 22 degrees from normal to the plane of its elliptical path, so in June the sun hits about 22 degrees above the equator (Tropic of Cancer, summer solstice up north), In September it hits squarely on the equator(equinox) , and in December it hits about 22 degrees south (Capricorn, winter solstice up north)

By the way to change the "tilt" of a huge rotating object like earth requires an unimaginable torque. It would also produce unexpected motions about other axes like changing the orientation of a gyroscope.

google "earth axis wobble"

True. The tilt of the Earth's axis does change throughout the year. The Earth is tilted on its axis at approximately 23.5 degrees relative to its orbit around the sun. This tilt remains constant as the Earth orbits the sun. However, because the Earth's orbit is not a perfect circle but rather an elliptical shape, the position of the Earth in its orbit changes throughout the year. As a result, the angle at which the sun's rays hit the Earth's surface also changes, leading to the seasons.