1

### JEE Advanced 2016 Paper 1 Offline

P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is $4\pi r^2dr$. The quantitative ketch of the dependence of P on r is
A
B
C
D
2

### IIT-JEE 2012

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is [$\alpha_0$ is Bohr radius]
A
${h^2 \over {4{\pi ^2}m\alpha _0^2}}$
B
${h^2 \over {16{\pi ^2}m\alpha _0^2}}$
C
${h^2 \over {32{\pi ^2}m\alpha _0^2}}$
D
${h^2 \over {64{\pi ^2}m\alpha _0^2}}$
3

### IIT-JEE 2010

The hydrogen like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

The orbital angular momentum quantum number of the state S2 is
A
0
B
1
C
2
D
3
4

### IIT-JEE 2010

The hydrogen like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

Energy of the state S1 in units of the hydrogen atom ground state energy is:
A
0.75
B
1.50
C
2.25
D
4.50