Cloud Droplet Radius vs. Raindrop Radius
The question states that the typical radius of a cloud droplet is 100 times smaller than that of a raindrop. Let $r_c$ represent the radius of a cloud droplet and $r_r$ represent the radius of a raindrop.
According to the problem statement:
$r_c = \frac{r_r}{100}$This implies the ratio of the radius of a raindrop to the radius of a cloud droplet is:
$\frac{r_r}{r_c} = 100$Calculating the Number of Cloud Droplets
While the number of cloud droplets that form a raindrop typically relates to the ratio of their volumes (cubed radius), the options provided suggest a calculation based on the square of the radius ratio.
We calculate the square of the ratio of the radii:
$ \text{Number Ratio} = \left(\frac{r_r}{r_c}\right)^2 $Substitute the value of the ratio:
$ \text{Number Ratio} = (100)^2 $Performing the calculation:
$ (100)^2 = 100 \times 100 = 10,000 $Therefore, based on the square of the radius ratio, 10,000 cloud droplets correspond to one raindrop.
Important Questions from Cloud Physics
- Which of the following is true with increasing cloud thickness from $50\text{ m}$ to $10,000\text{ m}$?
- In the natural atmosphere with super-saturation rarely more than 1%, the most common form of nucleation associated with change of vapour to liquid is
- The Bergeron-Findeisen process of droplet growth involves
- A: Hailstones are formed when graupel particles or large frozen raindrops are present in supercooled clouds
B: Accretion of super-cooled cloud droplets increases with hailstone growth
Given the above two statements choose the correct answer from the following. - Let the typical radius of a cloud droplet be $10 \text{ \mu m}$ and that of a rain droplet be $1 \text{ mm}$. Then, the number of cloud droplets that need to coalesce to form one rain droplet is:
