1

IIT-JEE 2004

Subjective
A ball of mass 100 g is moving with 100 ms-1. Find it's wavelength.

6.627 $\times$ 10-35 m
2

IIT-JEE 2004

Subjective
The Schrodinger wave equation for hydrogen atom is

$$\psi = {1 \over {4\sqrt {2\pi } }}{\left( {{1 \over {{a_0}}}} \right)^{3/2}}\left( {2 - {{{r_0}} \over {{a_0}}}} \right){e^{ - {r_0}/{a_0}}}$$
Where a0 is Bohr's radius. If the radial node in 2s be at r0, then find r0 in terms of a0.

2a0
3

IIT-JEE 2003

Subjective
Wavelength of high energy transition of H-atoms is 91.2 nm. Calculate the corresponding wavelength of He atoms.

22.8 nm
4

IIT-JEE 2000

Subjective
Calculate the energy required to excite one litre of hydrogen gas at 1 atm and 298 K to the first excited state of atomic hydrogen. The energy for the dissociation of H-H bond 436 kJ mol-1.

98.17 kJ