# Primary anisotropy of CMB

### Problem 1

Determine the size of the sound horizon on the last scattering surface.

### Problem 2

Determine the radius of the surface of last scattering.

### Problem 3

Estimate the thickness of the layer of last scattering.

### Problem 4

Determine the position of the first acoustic peak in the CMB power spectrum produced by baryon oscillations on the surface of last scattering in the Einstein-de Sitter Universe.

### Problem 5

Propose a scheme to use acoustic oscillations of CMB for the determination of geometry of the Universe.

### Problem 6

Find relative perturbation in the CMB temperature due to the Doppler effect.

### Problem 7

Find relation between the relative perturbation in the CMB temperature and that of matter density for the case of adiabatic potential perturbations.

### Problem 8

How perturbations of gravitational potential affect the perturbations of the CMB temperature?

### Problem 9

How perturbations of gravitational potential affect the perturbations of the CMB temperature?

### Problem 10

Find mean square variation of the CMB temperature due to the potential perturbations (see problems 1, 2, 3).

### Problem 11

Estimate angular resolution of CMB anisotropy measurements required to detect the seeds of large scale structures in form of density fluctuations on the last scattering surface.