1
IIT-JEE 2004
Subjective
+2
-0
(a) 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.

(b) A baseball having mass 100 g moves with velocity 100 m/s. Determine the value of wavelength of baseball.
2
IIT-JEE 2004
Subjective
+1
-0
A ball of mass 100 g is moving with 100 ms-1. Find it's wavelength.
3
IIT-JEE 2003
Subjective
+2
-0
Wavelength of high energy transition of H-atoms is 91.2 nm. Calculate the corresponding wavelength of He atoms.
4
IIT-JEE 2000
Subjective
+4
-0
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.
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