Homework Statement
There is a brownian particle in 3D space and absorbing sphere with radius a. At moment t = 0 the particle was situated at distance l from the sphere. Caluclate the probability of absorbing the particle by the sphere.
Homework Equations
n is probability densithy for the...
Draw the mirrors and imaginary images S1' and S2' of the women in each of the mirrors. Also draw an imaginary image of the imaginary image in the other mirror. So you can calculate the distances between the woman and the imaginary imaginary images.
There is all correct in your solution. The d\theta is not goes from the expression for the tiny mass element. It goes out after integrating:
\int\limits_{\frac \pi 2 - \alpha}^{\frac \pi 2 + \alpha} \sigma R^2 \sin \theta d\theta = \left . -\sigma R^2 \cos \theta \right |_{\frac \pi 2 -...