The radioactive 60co isotope is used in nuclear medicine to treat certain types of cancer. calculate the wavelength and frequency of an emitted gamma particle having the energy of 1.29 × 1011 j/mol. enter your answer in scientific notation.

1. Frequency:

The energy given is the energy per mole of particles:

1 mole contains a number of Avogadro of particles, , equal to

particles

So, by setting the following proportion, we can calculate the energy of a single photon:

This is the energy of a single photon; now we can calculate its frequency by using the formula:

where

is the Planck's constant

f is the photon frequency

Solving for f, we find

2. Wavelength:

The wavelength of the photon is given by the equation:

where

is the speed of the photon (the speed of light). Substituting,

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.