One Fairly Crude Method of Determining the Size of a Molecule

question 3

Multiple Choice

One fairly crude method of determining the size of a molecule is to treat the molecule as an infinite square well (a box) with an electron trapped inside, and to measure the wavelengths of emitted photons. If the photon emitted during the n = 2 to n = 1 transition has wavelength 1940 nm, what is the width of the molecule? (c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34J ∙ s, m_el = 9.11 × 10^-31 kg)

• A) 1.33 nm
• B) 1.12 nm
• C) 1.21 nm
• D) 1.45 nm

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Definitions:

Supply-Side Economist

An economist who believes that reducing tax rates and deregulation will stimulate economic growth by incentivizing individuals and businesses to produce goods and services.

Money Supply

The aggregate sum of financial assets present within an economy at a certain moment, encompassing cash, coins, and the amounts in checking and savings accounts.

Inflation

A sustained increase in the general price level of goods and services in an economy over a period of time, leading to a decrease in purchasing power.

Crowding Out Effect

A situation where increased government spending leads to reduced investment in the private sector, often due to higher interest rates.