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Question

Which of the following is true with increasing cloud thickness from $50\text{ m}$ to $10,000\text{ m}$?

The correct answer is
Absorption of solar radiation increases much less rapidly compared to reflection

The question asks how the interaction of solar radiation with clouds changes as cloud thickness increases significantly, specifically from $50\text{ m}$ to $10,000\text{ m}$. We need to consider the effects on absorption, reflection, and transmission.

Cloud Thickness and Radiative Interactions

Cloud thickness is a crucial factor determining how solar radiation is affected. As clouds become thicker:

  • Reflection: Generally increases significantly due to increased scattering of sunlight by cloud particles (water droplets or ice crystals). More particles mean more opportunities for light to be scattered back towards space.
  • Absorption: Also increases as the radiation path length through the cloud grows, allowing more absorption by water/ice and aerosols within the cloud. However, the increase might be less pronounced compared to reflection, especially in certain cloud types.
  • Transmission: Decreases substantially because more radiation is reflected or absorbed, leaving less to pass through the cloud to the surface below.

Comparing Absorption and Reflection Rates

As cloud thickness increases from $50\text{ m}$ to $10,000\text{ m}$, both absorption and reflection of solar radiation increase. However, the rate at which these processes change is important:

  • Reflection is primarily driven by scattering, which is highly dependent on the total cross-section of cloud particles encountered by the radiation. This effect tends to increase strongly and potentially reach a saturation level with increasing thickness.
  • Absorption depends on the path length and the concentration of absorbing substances. While it increases with thickness, it may not increase as rapidly as reflection, especially in optically thick clouds where scattering dominates the radiative balance.

Therefore, absorption increases, but much less rapidly compared to the increase in reflection as the cloud gets substantially thicker.

Evaluating the Options

  • Option 1 is incorrect because absorption generally increases, not decreases, with thickness.
  • Option 2 correctly states that absorption increases much less rapidly compared to reflection. This aligns with the physics of radiative transfer in clouds, where scattering (leading to reflection) is often more sensitive to optical depth (related to thickness) than absorption.
  • Option 3 is incorrect because transmission decreases, not increases, with cloud thickness.
  • Option 4 is incorrect because reflection increases, not decreases, with cloud thickness.

The relationship described in Option 2 best fits the behavior of solar radiation interacting with clouds of increasing thickness.

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Important Questions from Cloud Physics

  1. If the typical radius of a cloud droplet is $100$ times less than that of a raindrop, how many cloud droplets make a raindrop?
  2. 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
  3. The Bergeron-Findeisen process of droplet growth involves
  4. 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.
  5. 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:
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