The correct answer is A. Increase.
The Earth’s radiative equilibrium temperature is the temperature at which the Earth emits the same amount of energy as it receives from the Sun. If the Sun suddenly began emitting more energy, the Earth would absorb more energy and its temperature would increase.
Option B is incorrect because the Earth’s temperature would increase, not decrease.
Option C is incorrect because the Earth’s temperature would not remain the same, it would increase.
Option D is incorrect because the Earth’s temperature would not begin to oscillate, it would increase.