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NEST2011PhysicsAtomic Physics

The electron in the Li ²⁺ ion is replaced by a meson which has the same charge as the electron. Such an ion is called a Li ²⁺ mesic ion. Let E_ B be the binding energy of the hydrogen atom, and r_ B the Bohr radius. You may take the mass of a meson to be 200 times the mass of electron. Which of the following statements is/are true for the Li ²⁺ mesic ion?

Options

  1. AThe binding energy is 1800 E_ B .
  2. BThe radius of the meson in the ground state is r_ B / 1800 .
  3. CThe angular momentum in the ground state is 200 h / 2 , where h is Planck's constant.
  4. DThe Balmer series will be in the infrared wavelengths.

Correct answer

A. The binding energy is 1800 E_ B .

Step-by-step solution

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