I believed that without considering any other factors ( temperature, earth rotation) once the mother source of all the process is over, plants and other photosynthetic processes will seized and eventually most of the living will eradicate due to loss of food source.
Nothing is more important to us on Earth than the Sun. Without the Sun's heat and light, the Earth would be a lifeless ball of ice-coated rock. The Sun warms our seas, stirs our atmosphere, generates our weather patterns, and gives energy to the growing green plants that provide the food and oxygen for life on Earth. Without the Sun, Earth's land, water, and air would all be frozen solid! Life on Earth would cease to exist. That's because almost all living things rely on the steady light and heat of the Sun. The Sun's heat makes liquid water on our planet possible. With no sunlight, photosynthesis would stop, but that would only kill some of the plants there are some larger trees that can survive for decades without it. Within a few days, however, the temperatures would begin to drop, and any humans left on the planet's surface would die soon after. In total approximately 70% of incoming radiation is absorbed by the atmosphere and the Earth's surface while around 30% is reflected back to space and does not heat the surface. Although some microorganisms living in the Earth's crust would survive, the majority of life would enjoy only a brief post-sun existence. Photosynthesis would halt immediately, and most plants would die in a few weeks. After the Sun exhausts the hydrogen in its core, it will balloon into a red giant, consuming Venus and Mercury. Earth will become a scorched, lifeless rock stripped of its atmosphere, its oceans boiled off. Astronomers aren't sure exactly how close the Sun's outer atmosphere will come to Earth. Sunlight is the primary source of energy on our planet. This energy is used by plants, algae and cyanobacteria to do photosynthesis that convert carbon dioxide and water into organic compounds like carbohydrates. It provides the energy to keep the earth's atmosphere warm and inhabitable. Sunlight is necessary for plants to grow, and to provide energy to warm the earth's atmosphere. Light intensity controls plant growth. Light duration affects plant flowering and animal/insect habits. All living organisms require some amount of water. Sun is the primary source of energy, which is utilized by plants to produce food and is required for productivity and energy flow in the ecosystem. The visible spectrum of sunlight is used by plants for photosynthesis. Sunlight provides energy to warm the earth's atmosphere. Through photosynthesis, certain organisms convert solar energy (sunlight) into chemical energy, which is then used to build carbohydrate molecules. The energy stored in the bonds to hold these molecules together is released when an organism breaks down food. Cells then use this energy to perform work, such as movement.