60/ Gravitational Time Dilation on the Sun. Use the formula given in Problem 59 to calculate the percentage by which time runs slower on the surface of the Sun than in deep space. Based on your answer, approximately how much of a gravitational redshift should you expect for a spectral line with a rest wavelength of 121.6 nm?

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59. Gravitational Time Dilation on Earti. For a relatively weak
gravitational field, such as that of a ptanet or an ordinary
star, the following formula tells us the iractional amount of
gravitational time dilation at a distanes r from the center of
an object of mass Mobject-
GMobject
(G = 6.67 × 10-ll m³/(kg × s²); c = 3 × 10° m/s.]
example, while 1 hour passes in deep space far from the
object, the amount of time that passes at a distance r is
1 hour multiplied by the factor above. (This formula does
not apply to strong gravitational fields, like those near black
holes.) Calculate the amount of time that passes on Earth's
surface while 1 hour passes in deep space.
60/Gravitational Time Dilation on the Sun. Use the formula
given in Problem 59 to calculate the percentage by which
time runs slower on the surface of the Sun than in deep
space. Based on your answer, approximately how much of
a gravitational redshift should you expect for a spectral line
with a rest wavelength of 121.6 nm?
For
Transcribed Image Text:59. Gravitational Time Dilation on Earti. For a relatively weak gravitational field, such as that of a ptanet or an ordinary star, the following formula tells us the iractional amount of gravitational time dilation at a distanes r from the center of an object of mass Mobject- GMobject (G = 6.67 × 10-ll m³/(kg × s²); c = 3 × 10° m/s.] example, while 1 hour passes in deep space far from the object, the amount of time that passes at a distance r is 1 hour multiplied by the factor above. (This formula does not apply to strong gravitational fields, like those near black holes.) Calculate the amount of time that passes on Earth's surface while 1 hour passes in deep space. 60/Gravitational Time Dilation on the Sun. Use the formula given in Problem 59 to calculate the percentage by which time runs slower on the surface of the Sun than in deep space. Based on your answer, approximately how much of a gravitational redshift should you expect for a spectral line with a rest wavelength of 121.6 nm? For
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