Assertion (A) : Radius of H+ is 1.5 × 10–3 pm.
Reason (R) : H+ cannot exist independently.
Assertion (A): The radius of \( \text{H}^+ \) is \( 1.5 \times 10^{-3} \, \text{pm} \).
This is true. The hydrogen ion, \( \text{H}^+ \), also called a proton, is a bare nucleus consisting of just a single proton, which has a very small radius, approximately \( 1.5 \times 10^{-3} \, \text{pm} \).
Reason (R): \( \text{H}^+ \) cannot exist independently.
This is also correct. The hydrogen ion \( \text{H}^+ \) is just a proton, and a proton cannot exist freely in an environment under normal conditions, as it would immediately attract an electron and form a neutral hydrogen atom, thus no free \( \text{H}^+ \) ions can exist independently.
Explanation:
While both the assertion and reason are correct, the reason does not explain the assertion. The assertion gives the radius of the \( \text{H}^+ \) ion, which is a proton's radius, but this has no direct connection to whether \( \text{H}^+ \) can exist independently. The ability of \( \text{H}^+ \) to exist independently is more related to the nature of protons and their tendency to combine with electrons.
Final Answer:
Both assertion and reason are correct, but reason is not a correct explanation of assertion.
For hydrogen-like species, which of the following graphs provides the most appropriate representation of \( E \) vs \( Z \) plot for a constant \( n \)?
[E : Energy of the stationary state, Z : atomic number, n = principal quantum number]
Consider the following data:
- Heat of formation of \( CO_2(g) \) = -393.5 kJ mol\(^{-1}\)
- Heat of formation of \( H_2O(l) \) = -286.0 kJ mol\(^{-1}\)
- Heat of combustion of benzene = -3267.0 kJ mol\(^{-1}\)
The heat of formation of benzene is ……… kJ mol\(^{-1}\) (Nearest integer).
Which of the following is/are correct with respect to the energy of atomic orbitals of a hydrogen atom?
(A) \( 1s<2s<2p<3d<4s \)
(B) \( 1s<2s = 2p<3s = 3p \)
(C) \( 1s<2s<2p<3s<3p \)
(D) \( 1s<2s<4s<3d \)
Choose the correct answer from the options given below:
An ideal gas undergoes a cyclic transformation starting from point A and coming back to the same point by tracing the path A→B→C→D→A as shown in the three cases below.
Choose the correct option regarding \(\Delta U\):