The first line in the Lyman series in the spectrum of hydrogen atom occurs at a wavelength of 1215 Å and the limit for Balmer series is 3645 Å. Calculate the wavelength corresponding to series limit of Lyman series.

1. 911.2 Å

2. 812.2 Å

3. 712.2 Å

4. 678.4 Å

The correct order of increasing energy of atomic orbital is

1. 3s, 3p, 4s, 3d, 4p

2. 3s, 3p, 3d, 4s, 4p

3. 3s, 3p, 4s, 4p, 3d

4. 3s, 3p, 3d, 4p, 4s

In Rutherford's alpha scattering experiment using gold foil, the kinetic energy of the alpha particle was 1.2 x 10^-12J. For a head on collision, using the formula K.E. = $\frac{1}{4{\mathrm{\pi \epsilon }}_0}$x 2Ze²/r₀ , what may be the magnitude of r₀ [ The nuclear radius of gold, Z=79; $\frac{1}{4{\mathrm{\pi \epsilon }}_0}$= 9 x 10⁹ new-ton/meter² coulomb^-2, e= 1.6x10^-19 coulomb]

1. 3 x 10^-14m

2. 1.3 x 10^-14m

3. 2.1 x 10^-14m

4. 4.3 x 10^-14m

The quantum number of the most energetic electron in an Ne atom in the first excited state is

1. 2, 1, 0, +1/2

2. 3, 1, 1, +1/2

3. 3, 0, 0, +1/2

4. 3, 1, 0, +1/2

The frequency of line spectrum of sodium is 5.09 x 10¹⁴ sec^-1. Its wavelength (in nm) will be -[C= 3x10⁸m/sec]

1. 510nm

2. 420nm

3. 589nm

4. 622nm

The total number of neutrons in dipositive zinc ions with mass number 70 is -

1. 34

2. 40

3. 36

4. 38

With a certain exciting radiation of a particular frequency, to which hydrogen atoms are exposed, the maximum number of spectral lines obtainable in the emission is 15. The uppermost energy level to which the electron is excited is 

1. 4

2. 5

3. 6

4. 7

Consider an electron which is brought close to the nucleus of the atom from an infinite distance, the energy of the electron-nucleus system:

1. Increases

2. Decreases

3. Remains the same

4. None of these

When accelerated electrons are direct against an anticathode in an X-ray tube, the radiation obtained has a continuous spectrum with a wavelength minimum,

${\lambda }_{min} =\frac{ (1.24 x {10}^{-6})}{V}$) m, where V is the voltage used for accelerating the electrons.

Calculate $\lambda$_min for V= 5 x 10⁴ volts.

1. 1.25 Å

2. 0.75 Å

3. 0.25 Å

4. 1.00 Å

Calculate the de Broglie wavelength of an $\alpha$-particle emitted from radium having an energy of 4.8 MeV.

(Mass of $\alpha$-particle=6.6 x 10^-24 g; h=Planck's constant = 6.626 x 10^-27 erg sec)

1. 6.18 x 10^-13cm

2. 0.58 x 10^-8cm

3. 6.58 x 10^-13cm

4. 4.12 x 10^-11cm