Explanation:
The spectral lines produced in the spectrum of hydrogen atom from the fifth energy level can be calculated using the Rydberg formula:

1/λ = RZ^2 (1/nf^2 - 1/ni^2)

where λ is the wavelength of the spectral line, R is the Rydberg constant (1.0974 x 10^7 m^-1), Z is the atomic number (1 for hydrogen), nf is the final energy level, and ni is the initial energy level.

Calculation:
For the fifth energy level (nf = 5), the possible initial energy levels (ni) are 1, 2, 3, and 4. Plugging these values into the Rydberg formula gives:

1/λ = R(1^2)(1/5^2 - 1/1^2) = 0.102 nm^-1
1/λ = R(1^2)(1/5^2 - 1/2^2) = 0.128 nm^-1
1/λ = R(1^2)(1/5^2 - 1/3^2) = 0.137 nm^-1
1/λ = R(1^2)(1/5^2 - 1/4^2) = 0.142 nm^-1

Converting these values to wavelengths using λ = 1/ν (where ν is the frequency of the spectral line) and then multiplying by 10^9 to convert to nanometers gives:

λ = 9.807 nm
λ = 7.822 nm
λ = 7.246 nm
λ = 6.882 nm

Therefore, there are four spectral lines produced in the spectrum of hydrogen atom from the fifth energy level.

Conclusion:
In conclusion, there are four spectral lines produced in the spectrum of hydrogen atom from the fifth energy level. These spectral lines can be calculated using the Rydberg formula, which relates the wavelength of the spectral line to the energy levels of the atom.