Answer:
The angular frequencies of all the 3 pendulums shall be same.
Explanation:
The time period of a simple pendulum with the approximation
is given by:

The angular frequency
is given by

As we can see that the angular frequency is independent on the initial angle (valid strictly for small angle approximations) we conclude that the angular frequencies of the 3 pendulums are the same.
Answer:
(D) Vega must produce more energy than HR 4374.
Explanation:
The apparent visual magnitude is defined as the luminosity of a star seen from earth. The Greek astronomer Hipparcos was the first who invent a numerical scale to describe how bright a star appear to be in the sky to the naked eye, so he gave an apparent magnitude of 6 to the faintest star in the sky and an apparent magnitude of 1 to the brigthest one. Since the arrive of the telescope era this range was expanded to negative numbers for the most luminous one.
The human eye has a logaritmical response to the luminosity of stars, so as an example, if one star has an apparent magnitude of 6 and another one has an apparent magnitude of 1, the second one will be 100 times brigther than the first one. In the other hand, for a star that has apparent magnitude of 1 it will appear to be 2.512 times brigther than a star with apparent magnitude of 2.
The apparent magnitude of a star can variate as a consecuence of the distance from earth or for its energy production.
With all these facts clear enough described above, it is easier to conclude that as the two star are at the same distance the apparent visual magnitude will depend in the energy production. In the case of Vega it has an apparent visual magnitude of 0.03, while HR 4374 has an apparent visual magnitude of 4.87. According with the scale stablished for Hipparcos, Vega will be more luminous than HR 4374. This means that Vega produce more energy than HR 4374.
An object's angular momentum is proportional to its moment of inertia.
Option D
<u>Explanation:</u>
Momentum is the measure of an object's movement with respect to its mass and velocity. So it is determined as the product of mass and velocity. An object moving in linear motion, will experience linear momentum.
Similarly, if an object moves in circular motion, then the momentum will be angular momentum. So it is measured as the product of moment of inertia with angular velocity.

Here L is the angular momentum , I is the moment of inertia and ω is the angular velocity.
Thus, the angular momentum is directly proportional to the moment of inertia.
Alfred Wegner first proposed the idea that all the seven continents were once one super continent called "Pangea". Everyone considered his idea as a joke until he proved his theory with evidence of matching fossils, matching mountain ranges, and how all the continents fit together like puzzle pieces. Seafloor spreading is a process that occurs at mid-ocean ridges, where new oceanic crust is formed through volcanic activity and then gradually moves away from the ridge. Seafloor spreading helps explain continental drift in the theory of plate tectonics.
U can do what is the strongest paper towel