A photon of wavelength 300 nm causes the emission of two photons. If the wavelength of one of them is 700 nm. What is the wavelength of the other photon?

1. 525 nm

2. 600 nm

3. 450 nm

4. 300 nm

The electronic transition in the hydrogen atom that emits maximum energy is:

1. 2 $\to$ 1

2. 1 $\to$ 4

3. 4 $\to$ 3

4. 3 $\to$ 2

The spectrum of He-atom may be considered similar to the spectrum of - 

1. H

2. Li⁺

3. Na

4. He⁺

The frequency ratio between violet (400nm) and red (750nm) radiations in the visible spectrum, is-

1. 8/15

2. 4/15

3. 15/8

4. None of these

The Compton wavelength for an electron is  $\left(\frac{h}{m_{0}c}\right)$

0.024 Å 

calculate $∆\lambda$= $\left(\frac{h}{m_{0}c}\right)$(1- cos θ) for a scattering angle  θ = $\mathrm{\pi }$/3. What is the maximum value for $∆\lambda$ ?

1. 0.024 Å, 0.048 Å

2. 0.012 Å, 0.048 Å

3. 0.012 Å, 0.024 Å

4. 0.006 Å, 0.012 Å

The total spin resulting for a 3d⁷ configuration is 

1. 3/2

2. 1/2

3. 2

4. 1

Supposing the energy of the fourth shell for the hydrogen atom is -50a.u. (Arbitrary unit). What would be its ionization potential-

1. 50

2. 800

3. 15.4

4. 20.8

An element with atomic mass Z consists of two isotopes of mass number Z-1 and Z + 2. The percentage abundance of the heavier isotope is -

1. 0.25

2. 33.3

3. 66.6

4. 75

Two isotopes of Boron are found in the nature with atomic weights 10.01(I) and 11.01(II). The atomic weight of natural Boron is 10.81. The percentage of (I) and (II) isotopes in it are respectively-

1. 20 and 80

2. 10 and 90

3. 15 and 75

4. 30 and 70

Calculate the wavenumber of lines having the frequency of 5 x 10¹⁶ cycles per sec. 

1. 1.666 x 10⁸m^-1 

2. 0.666 x 10⁸m^-1

3. 4.126 x 10⁶m^-1

4. 3.133 x 10⁴m^-1