Exams › JEE Main › Chemistry

Given below are two statements: Statement (I): For a given shell, the total number of allowed orbitals is given by n². Statement (II): For any subshell, the spatial orientation of the orbitals is given by −ℓ to +ℓ values including zero. In the light of the above statements, choose the correct answer from the options given below:

1. Statement I is true but Statement II is false
2. Statement I is false but Statement II is true
3. Both Statement I and Statement II are true
4. Both Statement I and Statement II are false

Correct answer: Both Statement I and Statement II are true

Solution

Statement I is correct because the total number of orbitals in a shell is indeed determined by the square of the principal quantum number (n²). Statement II is also correct as it accurately describes the range of magnetic quantum numbers (mℓ) for a given subshell, which spans from -ℓ to +ℓ, including zero.

Related JEE Main Chemistry questions

• At what wavenumber does the first line of the hydrogen Balmer series occur in the atomic spectrum?
• In the hydrogen emission spectrum, a spectral series has its limit at 12186.3 cm$^{-1}$. This series is identified as
• Two rapidly moving particles X and Y have de Broglie wavelengths of 1 nm and 4 nm, respectively. If the mass of X is nine times the mass of Y, what is the ratio of their kinetic energies, X:Y?
• Given that Planck’s constant is $6.63 \times 10^{-34}$ J s and the speed of light is $3.0 \times 10^8$ m s$^{-1}$, which of the following is nearest to the wavelength, in nanometres, of light having frequency $8 \times 10^{15}$ s$^{-1}$?
• A lithium ion and a proton are each accelerated through the same potential difference. If their de Broglie wavelengths are $\lambda_1$ and $\lambda_2$, respectively, and $m_{\text{Li}} = 9m_p$, what is the ratio $\lambda_1 : \lambda_2$?
• If the uncertainties in position and momentum are the same, what is the uncertainty in velocity?

⚔️ Practice JEE Main Chemistry free + battle 1v1 →