To solve this problem, we need to determine the most suitable method for the disposal of nuclear waste from the given options. Let's analyze each option:$\newline \bullet$Option 1: Shoot the waste into space$\newline$ - This method is not practical due to the high cost and risk of launch failure, which could lead to catastrophic consequences.$\newline \bullet$Option 2: Bury the waste under Antarctic ice-cover$\newline$ - This method poses environmental risks, such as potential contamination of ice and surrounding ecosystems.$\newline \bullet$Option 3: Dump the waste within rocks under deep ocean$\newline$ - This method could lead to leakage and contamination of oceanic ecosystems, making it environmentally hazardous.$\newline \bullet$Option 4: Bury the waste within rocks deep below the Earth's surface$\newline$ - This method is considered the most suitable as it involves isolating the waste in stable geological formations, minimizing the risk of contamination.$\newline$ - It is a widely accepted practice for long-term disposal of nuclear waste.$\newline$Therefore, the most suitable method for disposal of nuclear waste is Option 4: Bury the waste within rocks deep below the Earth's surface.$\newline$This corresponds to the correct option, which is Option 4.