It important to understand categories logic because it allows one to make certain logical statements.
Assuming that there is no heat loss, and the cup is perfectly insulated, all of the energy lost by the lead will be absorbed by the water.
The heat absorbed is given by:
Energy = mass * specific heat capacity * change in temperature
The specific heat capacity of water is 4.18 joules per gram.
In order to compute the mass, we will use the fact that the density of water is one gram per milliliter. Therefore, the mass of water is 50 grams.
Now,
Q = 50 * 4.18 * (20 - 18)
Q = 418 J
418 Joules of energy were released by the lead.
Solution:
The major axis is the sum of the perihelion and aphelion distances so it is equal to
(0.1 + 0.4) = 0.5 AU
and the semi-major axis is half of the major axis,
= half of (0.1 + 0.4) = half of 0.5 = 0.25 AU.
From Kepler’s 3rd law, P2 = a3 = (0.25)3 = 0.015625 years.
The frequency of the wave is given as 2.5 * 10^9 Hz.
<h3>What is wavelength?</h3>
The term wavelength is the distance that is covered by a wave. It is also referred to as the distance between two successive crests or two successive troughs. It can also be defined as half of the distance between two nodes.
Now nodes are the points in which there is no movement while antinodes are the points in which there is movement.
Given that;
c = λf
c = speed of light = 3 * 10^8 m/s
λ = 2(6cm) = 12 cm or 12 * 10^-2 m
f = ??
Thus;
f = c/ λ
f = 3 * 10^8 m/s/12 * 10^-2 m
f = 2.5 * 10^9 Hz
Learn more about speed of light:brainly.com/question/394103
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