WebQuestion: QUESTION 4 [TOTAL MARKS: 20] Q 4(a) [7] Derive the central pressure of the star using the equation of hydrostatic equilibrium under the assumption of constant density. Q 4(b) [7] Using the equation for the pressure of a non-relativistic degenerate electron gas (312)2/3 h 15/3 P= р explain what happens to the radius of a white dwarf as its mass 5 … WebThis requires a high central Pressure. Since we have an ideal gas, Pressure = Density x Temperature: ... If we combine this with the formula for the Nuclear Timescale, we get the Main Sequence ... in the sense that: High-Mass M-S Stars have short M-S lifetimes Low-Mass M-S Stars have long M-S lifetimes Examples: Sun: M = 1 M sun, and t MS = 10 ...
Lecture 11: The Internal Structure of Stars - Ohio State University
WebExpert Answer. () (1) Using the equations of hydrostatic equilibrium and mass continuity, derive the following expression for the central pressure of a star in which the density is assumed to be constant throughout. 3 GM2 P. = 15 marks] 87 R4 (ii) Estimate the central pressure in the Sun using the constant density model in (i). WebThis equation can be written in integral form as: P c - P s = - (GM / 4 r 4) dM, where the subscripts c and s refer to the centre and surface of the star, respectively. By swapping the integration limits and noting that the mass … looney tunes to itch his own
ON STARS, THEIR EVOLUTION AND THEIR STABILITY
WebFeb 25, 2012 · Problem: Relatively low mass stars can be shown to have their radii dependent on their mass as; R M 1/2. From this, show that the temperature in kelvin at the centre of such a star can be estimated to be. 24 10 6 (M/M solar) 1/2. Relevant Equations: Webwhere ρc is the central density, ... = −θn. (poly.6) This is known as the Lane-Emden equation for polytropic stars. The two boundary conditions for the eq. (poly.6) are at the center: ... those coefficients for the two important cases: for n = 1.5, which corresponds to an adiabatic star supported by pressure of non-relativistic gas, and for ... http://www.vikdhillon.staff.shef.ac.uk/teaching/phy213/phy213_minp.html#:~:text=This%20equation%20can%20be%20written%20in%20integral%20form,star%2C%20i.e.%20Mc%20%3D%200%2C%20we%20can%20write%3A looney tunes toys plush