How to use the Rydberg Constant in solving NEET problems?

Sure! Let's go through a step-by-step method to apply the Rydberg Constant for solving a typical NEET question related to the hydrogen spectrum.

1. Identify the initial and final energy levels (n₁ and n₂) involved in the transition. For example, let's consider a transition from n₂ = 3 to n₁ = 2.
2. Use the Rydberg formula:
3. Plug in the values into the formula. For n₁ = 2 and n₂ = 3:
   1/λ = R_H (1/2² - 1/3²)
   Here, R_H is approximately 1.097 × 10⁷ m^−1.
4. Calculate the value inside the parenthesis first:
   1/2² = 1/4 = 0.25
   1/3² = 1/9 ≈ 0.1111
   So, (1/2² - 1/3²) = 0.25 - 0.1111 ≈ 0.1389
5. Now, multiply this result by the Rydberg Constant:
   1/λ ≈ 1.097 × 10⁷ m^−1 × 0.1389 ≈ 1.526 × 10⁶ m^−1
6. Finally, take the reciprocal to find the wavelength (λ):
   λ ≈ 1 / 1.526 × 10⁶ m^−1 ≈ 6.55 × 10^-7 m or 655 nm

So, the wavelength of the emitted photon for this transition is approximately 655 nm, which falls in the red region of the visible spectrum.