A nitrogen molecule (N2) vibrates with energy identical to a single particle of mass m = 1.162 x 10-26 kg attached to a spring with a force constant of k = 1500 N/m. Suppose the energy levels of the system are uniformly spaced as shown in the figure below. The lowest energy level is often called the “ground state” and is assigned an integer value n = 1. The next higher energy level is often called the “first excited state” and is assigned an integer value n =2. (1) What is the vibration frequency of this molecule? (2) How much energy is required to excite the molecule from the ground state (n = 1) to the first excited state (n = 2)? (3) How much energy is required to excite the molecule from the first excited state (n = 2) to the state n = 5?

A nitrogen molecule (N2) vibrates with energy identical to a single particle of mass m = 1.162 x 10-26 kg attached to a spring with a force constant of k = 1500 N/m. Suppose the energy levels of the system are uniformly spaced as shown in the figure below. The lowest energy level is often called the “ground state” and is assigned an integer value n = 1. The next higher energy level is often called the “first excited state” and is assigned an integer value n =2. (1) What is the vibration frequency of this molecule? (2) How much energy is required to excite the molecule from the ground state (n = 1) to the first excited state (n = 2)? (3) How much energy is required to excite the molecule from the first excited state (n = 2) to the state n = 5?

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