The relationship between the frequency and wavelength of a wave is given by the equation:
v=λf, where v is the velocity of the wave, λ is the wavelength and f is the frequency.
If we divide the equation by f we get:
λ=v/f
From here we see that the wavelength and frequency are inversely proportional. So as the frequency increases the wavelength decreases.
So the second statement is true: As the frequency of a wave increases, the shorter the wavelength is.
Answer:
Here ball and rod will repel each other as they are of similar charges
Explanation:
As we know that the two charges attract or repel each other by electrostatic force
This force is given as
![F = \frac{kq_1q_2}{r^2}](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bkq_1q_2%7D%7Br%5E2%7D)
so we know if two charges are similar in nature then they will repel each other and if the two charges are opposite in nature then they will attract each other
So here when rod touch the ball then it transfer its charge to the ball and due to similar charges in ball and rod they both repel each other
Given that,
Time = 0.5 s
Acceleration = 10 m/s²
(I). We need to calculate the speed of apple
Using equation of motion
![v=u+at](https://tex.z-dn.net/?f=v%3Du%2Bat)
Where, v = speed
u = initial speed
a = acceleration
t = time
Put the value into the formula
![v=0+10\times0.5](https://tex.z-dn.net/?f=v%3D0%2B10%5Ctimes0.5)
![v=5\ m/s](https://tex.z-dn.net/?f=v%3D5%5C%20m%2Fs)
(III). We need to calculate the height of the branch of the tree from the ground
Using equation of motion
![s=ut+\dfrac{1}{2}gt^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dgt%5E2)
Put the value into the formula
![s=0+\dfrac{1}{2}\times10\times(0.5)^2](https://tex.z-dn.net/?f=s%3D0%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes10%5Ctimes%280.5%29%5E2)
![s=1.25\ m](https://tex.z-dn.net/?f=s%3D1.25%5C%20m)
(II). We need to calculate the average velocity during 0.5 sec
Using formula of average velocity
![v_{avg}=\dfrac{\Delta x}{\Delta t}](https://tex.z-dn.net/?f=v_%7Bavg%7D%3D%5Cdfrac%7B%5CDelta%20x%7D%7B%5CDelta%20t%7D)
![v_{avg}=\dfrac{x_{f}-x_{i}}{t_{f}-t_{0}}](https://tex.z-dn.net/?f=v_%7Bavg%7D%3D%5Cdfrac%7Bx_%7Bf%7D-x_%7Bi%7D%7D%7Bt_%7Bf%7D-t_%7B0%7D%7D)
Where,
= final position
= initial position
Put the value into the formula
![v_{avg}=\dfrac{1.25+0}{0.5}](https://tex.z-dn.net/?f=v_%7Bavg%7D%3D%5Cdfrac%7B1.25%2B0%7D%7B0.5%7D)
![v_{avg}=2.5\ m/s](https://tex.z-dn.net/?f=v_%7Bavg%7D%3D2.5%5C%20m%2Fs)
Hence, (I). The speed of apple is 5 m/s.
(II). The average velocity during 0.5 sec is 2.5 m/s
(III). The height of the branch of the tree from the ground is 1.25 m.
Although X-rays have many benefits, they can be dangerous to human health because they are short wavelength, high frequency, with photons sufficiently energetic to damage DNA molecules.
Answer: 0.72 grams
Explanation: Mass can be extracted from the formula of density. D=M/V where D is density and V is volume. Therefore:
18 g/cm^3 = M(25 cm^3) --> Divide by 18g/cm^3 by 25 cm^3 to isolate mass. --> <u>0.72 =M </u> --> Now, to find out which unit you need to use for mass, just look at the density. You can see it is in g/cm^3, and cm^3 was already used for the volume. Thus, gram units are left, so that will be the unit needed, making the final answer 0.72 grams. Hope this helps :)