16dshah

23.06.2021 •

Physics

The galaxy ngc 4414 is moving away from us at 7.1610^5any interference in the wage market will cause which of the following? By how much will the frequency of the 6.9110^14 Hz hydrogen line be shifted in the galaxy's spectrum? (Answer is *10^12)

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exiZT7535

28.05.2023

Physics

Time period of any moon of Jupiter is given by

$T = 2\pi \sqrt{\frac{r^3}{GM}}$

from above formula we can say that mass of Jupiter is given by

$M = \frac{4 \pi^2 r^3}{GT^2}$

now for part a)

r = 4.22 * 10^8 m

T = 1.77 day = 152928 seconds

now by above formula

$M = \frac{4 \pi^2 r^3}{GT^2}$

$M = \frac{4 \pi^2 (4.22 * 10^8)^3}{(6.67 * 10^{-11})(152928)^2}$

$M = 1.9* 10^{27} kg$

Part B)

r = 6.71 * 10^8 m

T = 3.55 day = 306720 seconds

now by above formula

$M = \frac{4 \pi^2 r^3}{GT^2}$

$M = \frac{4 \pi^2 (6.71 * 10^8)^3}{(6.67 * 10^{-11})(306720)^2}$

$M = 1.9* 10^{27} kg$

Part c)

r = 10.7 * 10^8 m

T = 7.16 day = 618624 seconds

now by above formula

$M = \frac{4 \pi^2 r^3}{GT^2}$

$M = \frac{4 \pi^2 (10.7 * 10^8)^3}{(6.67 * 10^{-11})(618624)^2}$

$M = 1.89* 10^{27} kg$

PART D)

r = 18.8 * 10^8 m

T = 16.7 day = 1442880 seconds

now by above formula

$M = \frac{4 \pi^2 r^3}{GT^2}$

$M = \frac{4 \pi^2 (18.8 * 10^8)^3}{(6.67 * 10^{-11})(1442880)^2}$

$M = 1.889* 10^{27} kg$

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The galaxy ngc 4414 is moving away from us at 7.16*10^5any interference in the wage market will cause which of the following? By how much will the frequency of the 6.91*10^14 Hz hydrogen line be shifted in the galaxy's spectrum? (Answer is *10^12)

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The galaxy ngc 4414 is moving away from us at 7.1610^5any interference in the wage market will cause which of the following? By how much will the frequency of the 6.9110^14 Hz hydrogen line be shifted in the galaxy's spectrum? (Answer is *10^12)