The Sun is at a distance of about 8 kpc from the galactic center and moves around the galactic center in a circular path with a velocity of about 220 km s. Make a rough estimate of the mass of the Galaxy.

Q: If the active core of a galaxy contains a black hole of 106 MSun , what will the orbital distance be…

A: Given: The mass of the black hole is 106 MSun. The orbital period is 1 hr.

Q: It can be shown that if an object orbiting a star of mass M in a circular orbit of radius R has…

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Q: Two galaxies are moving away from each other at 8000 km/sec and are 4x103 light-years apart. It was…

A: The speed or velocity of an object is defined as the ratio between the distance traveled by an…

Q: A Type la supernova explodes in a galaxy at a distance of 6.10×107 light-years from Earth. If…

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Q: You observe a star orbiting in the outer parts of a galaxy. The distance to this galaxy is known,…

A: Given, The distance of the star from the center of the galaxy: r=19 kpc=19×3.086×1019 m Speed of the…

Q: A vector field is defined by v = (yz, xz, xy). Show that curl v = 0.

A: v=(yz,xz,xy)

Q: Observations indicate that each galaxy contains a supermassive black hole at its center. These black…

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Q: (a) Estimate the height (z) above or below the Galactic plane for the globular cluster M13 (1,b =…

A: The galactic plane is the plane on which the majority of a disk-shaped galaxy's mass lies. Distance…

Q: You observe the H-alpha line of Hydrogen in a distant galaxy to have a wavelength of 918.4  nm. What…

A: The observed wavelength of a H-α line is 656.28nm. The radial velocity is given by

Q: If the active core of a galaxy contains a black hole of 106 Me, what will the orbital period be for…

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Q: the sun has an orbital speed of about 220kms^-1 around the centre of the galaxy , whose distance is…

A: orbital speed of sun = 220 kms= 220000 msdistance = 28000 light years

Q: A galaxy with a spherically symmetric distribution of matter has a mass density profile of the type…

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Q: n(r) = nge where r represents the distance from the centre of the Galaxy, Ro is the distance of the…

A: (a)As we have to find the maximum distance by the help of the relation of absolute and apparent…

Q: The density profile of a galaxy's extended dark matter halo is given in the provided image. r0 and…

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Q: A galaxy is found to be receding at a velocity of 3.0 x 104 km-s-1. Calculate the distance to the…

A: Edwin Hubble discovered through observation that the Universe is expanding. Galaxies are moving away…

Q: The Tully-Fischer method relies on being able to relate the mass of a galaxy to its rotation…

A: Given: Distance of galactic center of Milky way r = 50 kpc r=50kpc3.086×1019m1kpc=154.3×1019m.…

Q: A Cepheid variable in the Andromeda galaxy has a period of 22 days and a mean apparent magnitude of…

A: Part (a): The mean apparent magnitude (denoted by m) of the Cepheid variable is given as 19.5, and…

Q: You observe the H-beta line of Hydrogen in a distant galaxy to have a wavelength of 558.9 nm. What…

A: The equation for the radial velocity of the galaxy is,

Q: A black hole (m = 2.90 x 10^9 Ms) sits in the middle of the M87 galaxy. Calculate its gravitational…

A: mass of black hole = 2.90×109 MsMs = 1.99×1030 kg

Q: A star at a distance of 50000 light years from the center of a galaxy has an orbital speed of 100…

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Q: In 1987, a supernova was observed in a neighboring galaxy.Scientists believed the galaxy was 1.66 x…

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Q: The Sun has an orbital speed of about 220 kms−1 around the centre of the Galaxy, whose distance is…

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Q: star is 1.0 x 104 ly (light-years) from the center of its galaxy and is moving in a circle around…

A: Given : r = 1 × 104 ly = (1 × 104)(9.46 × 1012) = 9.46 × 1016 km v = 110 km/s t = 5.6 x 109 years =…

Q: You observe a star orbiting in the outer parts of a galaxy. The distance to this galaxy is known,…

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Q: The surface mass density of the disk of a galaxy is given in the provided image. Σ0 is the central…

A: The total mass of the disk can be calculated by integrating the surface mass density over the entire…

Q: You observe a star orbiting in the outer parts of a galaxy. The distance to this galaxy is known,…

A: Given, Distance, R=19kpcR=19×3.08×1019mR=58.52×1019m Speed, v=382×103m/s The velocity of the star is…

Q: Suppose there exists a hypothetical galaxy with mass MG around the center of which a solar system…

A: Given,  Mass of Galaxy = 1× 10 40 kg Mass of solar system = 2× 1028 kg Radius = 2.5 × 1020 m We need…

Q: The gas in the outer region of the Andromeda galaxy is found to be orbiting the galaxy with a…

A: Given Velocity of gas = u = 250 km/s = 250000 m/s Radius of orbit from the center = r = 35kpc = 35 ×…

Q: The surface brightness profiles of elliptical galaxies follow the Sersic formula with n = 4. How…

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Q: You find a small satellite galaxy orbiting 66 kpc from the center of a larger galaxy at a speed of…

A: Given data: Radius of the galaxy r=66 kpc. Velocity of satellite v=210 km/s. According to Kepler's…

Q: Figure 2 shows the “"rotation curve" of NGC 2742. It plots the “radial velocity (V)" (how fast…

A: As per the given instructions, let the evenly-spaced five masses on the redshifted side be as…