Answer:
(c) The planet must have a mass about the same as the mass of Jupiter,
(d) The planet must be closer to the star than Earth is to the Sun.
Explanation:
Astrometry is the ideal method to detect high-mass planets that are close to their star. That is because the gravitational effect that it will have the planet over its host star will be greater. This effect can be seen as a wobble in the star as a consequence of how they orbit a common center of mass¹. The center of mass will be closer to the most massive object, So, in the case of an extrasolar planet with masses like Jupiter (Jovian), this point will be a little bit farther from the star, making the wobble more notable than in a system with a low-mass planet.
Key terms:
Astrometry: study of the position of the stars over time in the sky.
¹Center of mass: a geometrical point in which the mass from a whole system is summed.
Answer:
Let, R be the resistance of the heater wire. Since, two heater wires are of equal length their resistance is also same.
Hence, for series combination of resistances,
R
s
=2R
And for parallel combination of resistances,
R
p
=
2
R
Now, heat produced when they first connected in series is
H
s
=
R
s
V
2
where, V is voltage supplied to the heater.
H
s
=
2R
V
2
.....................................(1)
heat produced when they first connected in series is
H
p
=
R
p
V
2
H
p
=
2
R
V
2
H
p
=
R
2V
2
............................................(2)
From (1) and (2), we get
H
p
H
s
=
R
2V
2
2R
V
2
⇒
H
p
H
s
=
4
1
So we want to know what measurement do we need to make in order to determine what equipment can the boat carry. The boat overall length dictates what equipment should a boat have to comply with federal and state law. So the correct answer is the LENGTH measurement.
