Answer: 88 Earth days
Explanation:
According to the Kepler Third Law of Planetary motion <em>“The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”.
</em>
<em />
In other words, this law states a relation between the orbital period
of a body (moon, planet, satellite) orbiting a greater body in space with the size
of its orbit:
(1)
If we assume the orbit is circular and apply Newton's law of motion and the Universal Law of Gravity we have:
(2)
Where
is the mass of the massive object and
is the universal gravitation constant. If we assume
constant and larger enough to consider
really small, we can write a general form of this law:
(3)
Where
is in units of Earth years,
is in AU (<u>1 Astronomical Unit is the average distane between the Earth and the Sun)</u> and
is the mass of the central object in units of the mass of the Sun.
This means when we are making calculations with planets in our solar system
.
Hnece, in the case of Mercury:
(4)
Isolating
:
(5)
(6)
This means the period of Mercury is 88 days.
Answer:
Percentage increase in the fundamental frequency is
d)-14.02%
Explanation:
As we know that fundamental frequency of the wave in string is given as

now it is given that tension is increased by 30%
so here we will have


now new value of fundamental frequency is given as

now we have

so here percentage change in the fundamental frequency is given as

% change = 14.02%
Answer:
Explanation:
This question pertains to resonance in air column. It is the case of closed air column in which fundamental note is formed at a length which is as follows
l = λ / 4 where l is length of tube and λ is wave length.
here l = .26 m
λ = .26 x 4 = 1.04 m
frequency of sound = 330 Hz
velocity of sound = frequency x wave length
= 330 x 1.04
= 343.2 m /s
b )
Next overtone will be produced at 3 times the length
so next length of air column = 3 x 26
= 78 cm
c )
If frequency of sound = 256 Hz
wavelength = velocity / frequency
= 343.2 / 256
= 1.34 m
= 134 cm
length of air column for resonance
= wavelength / 4
134/4
= 33.5 cm
Answer:
Just 3
Explanation:
I believe the other two are incorrect