A big rain drop having terminal velocity of 32m/sec is divided into eight equal rain drops terminal velocity of each small drop will be

Explanation

The terminal velocity of a droplet is proportional to the square root of its radius. When a large raindrop is divided into smaller droplets, each with a smaller radius, the terminal velocity decreases. If the original drop's terminal velocity is 32 m/s, and it is split into eight smaller droplets, each new droplet has a terminal velocity proportional to the square root of 1/8 of the original drop's radius. This results in each smaller droplet having a terminal velocity of 8 m/s. Thus, the correct answer is Option C: 8 m/s. Option A (32 m/s) suggests no change in velocity, which is incorrect. Option B (16 m/s) underestimates the reduction, and Option D (64 m/s) overestimates it, suggesting an increase rather than a decrease.