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Atmospheric Waves Questions and Answers

Answer: A

Because the group velocity is perpendicular to the phase velocity and directed on the opposite side of the horizontal, a wave carrying energy upward shows phase lines descending with time. Radiosonde and radar time-height sections are read this way routinely. Amplitude does grow with height as the density falls, but that is a separate consequence of energy conservation rather than an indicator of direction. The quantity that varies and the quantity that does not are worth naming before any substitution is attempted.

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Answer: B

Conservation of wave energy flux requires the amplitude to grow as the inverse square root of density, so a wave with a one metre per second velocity perturbation in the troposphere reaches tens of metres per second in the mesosphere. That growth eventually leads to breaking. The buoyancy frequency does increase into the stratosphere but the density effect is far larger and is the conventional explanation. Most errors here come from carrying a result across from a neighbouring case where it does not hold.

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Answer: C

Once the wave amplitude is large enough to overturn the isentropes, the wave breaks, generating turbulence and depositing its momentum flux into the mean flow. This drag is the principal driver of the mesospheric circulation and must be parameterised in climate models. Reflection occurs at certain levels for other reasons, and smooth dissipation is far too slow to matter at these altitudes. The shared properties explain why these belong to one family, and the differences explain why more than one exists.

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Answer: D

Gravity wave drag in the mesosphere forces a meridional circulation from the summer to the winter pole, which drives the summer mesopause to the coldest temperatures found anywhere in the atmosphere. Without the wave drag the mesosphere would be far closer to radiative equilibrium. The Hadley, Walker and Ferrel cells are tropospheric features driven by quite different mechanisms. A single measurement chosen to respond to the one asymmetry beats several that respond to shared behaviour.

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Answer: A

Despite continuous sunlight, the summer mesopause reaches about 130 kelvin, far colder than the winter mesopause, because the wave-driven circulation forces strong ascent and adiabatic cooling there. It is the coldest place in the Earth's atmosphere and is where noctilucent clouds form. This departure from radiative expectation is the clearest evidence of the wave driving. Most errors here come from carrying a result across from a neighbouring case where it does not hold.

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Answer: B

Noctilucent or polar mesospheric clouds form near 83 kilometres in the extremely cold summer mesopause and are visible from high latitudes after sunset. Polar stratospheric and nacreous clouds form much lower, around 20 kilometres in the winter stratosphere, and cirrus is a tropospheric cloud. Their existence is direct evidence of the extreme cold that wave driving produces. Working one numerical case through both cases side by side fixes the distinction better than any rule of thumb.

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Answer: C

Stably stratified flow forced over a mountain range generates waves whose phase lines are stationary relative to the ground, and these mountain waves are a principal source of momentum flux into the stratosphere. Convection and jet stream imbalance are the other two major sources. Radiative cooling and thermal advection act too slowly and too smoothly to excite waves of any significant amplitude. Naming the cost of a choice alongside its benefit is what turns a fact into a design decision.

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Answer: D

Trapped lee waves require a stable layer with the wind increasing with height, which creates a duct that reflects wave energy downward and allows a train of waves to persist far downstream. Neutral stratification supports no waves at all, light winds cannot force them, and strong directional shear disrupts the coherence of the train. Glider pilots exploit exactly these conditions. The shared properties explain why these belong to one family, and the differences explain why more than one exists.

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Answer: A

Lenticular cloud forms in the ascending part of each wave crest and dissipates in the descending part, so it appears stationary while the air moves through it. The clouds mark the wave train clearly from the ground and from satellite. Deep convection requires conditional instability rather than wave lifting, and the other cloud types have no particular association with lee waves. Reading the definition literally, rather than recalling a formula, is the reliable route through questions of this shape.

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Answer: B

Rotor turbulence beneath the wave crests and vertical currents of several metres per second can exceed the climb or descent capability of an aircraft, and several accidents have been attributed to them. Lenticular cloud is generally smooth and not a major icing hazard. Navigation and air density are not affected in the way suggested by the other options.

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