Consider a spin model with the following energy, with where sigma takes the values , -s + -1,0, s - 1, 8 the energy is= e(fo})h n μς1 σ, . a] the new magnetization is. (m) = h 1 az prove that where z is the canonical partition function b] calculate with the canonical ensemble.

At what point the certain object feels zero garvitational force between earth and the moon. take the required information from the book.required: distance away from earth or moon

Waves that cause the most damage during an earthquake are a. surface waves c. s waves b. p waves d. ocean waves

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒