Answer:
Frequency=10 Hz
Period=0.1 s
Explanation:
Frequency of a wave is the number of complete cycles per unit time. Usually, frequency is cycles per second, with unit as Heartz
Given cycles of the wave as 200 and time as 20 seconds
Frequency=200÷20=10 cycles per second
Therefore, frequency is 10 Hz
Period is usually the reviprocal of frequency hence reciprocal of 10 Hz will be 1/10=0.1 s
Answer:
1.31022×10⁻³⁴ kg
Explanation:
Difference in energies = 1189.4-1115.7 MeV = 73.7 MeV
Convert this energy to Joules
1 MeV = 1.6×10⁻¹⁹ J
73.7 MeV = 73.7×1.6×10⁻¹⁹ J = 117.92×10⁻¹⁹ J
c = Speed of light = 3×10⁸ m/s
From Einstein's equation
E = mc²
![m=\frac{E}{c^2}\\\Rightarrow m=\frac{117.92\times 10^{-19}}{(3\times 10^8)^2}\\\Rightarrow m=1.31022\times 10^{-34}\ kg](https://tex.z-dn.net/?f=m%3D%5Cfrac%7BE%7D%7Bc%5E2%7D%5C%5C%5CRightarrow%20m%3D%5Cfrac%7B117.92%5Ctimes%2010%5E%7B-19%7D%7D%7B%283%5Ctimes%2010%5E8%29%5E2%7D%5C%5C%5CRightarrow%20m%3D1.31022%5Ctimes%2010%5E%7B-34%7D%5C%20kg)
∴ Difference in their masses is 1.31022×10⁻³⁴ kg
Answer:
![y=677.29m](https://tex.z-dn.net/?f=y%3D677.29m)
Explanation:
Given data
Distance r=2671 m
Angle α=14.2°
To find
High is the top of the ski lift relative to the base
Solution
As we know that
![y=rSin\alpha](https://tex.z-dn.net/?f=y%3DrSin%5Calpha)
Substitute the given values
![y=2671Sin(14.2^{o} )\\y=677.29m](https://tex.z-dn.net/?f=y%3D2671Sin%2814.2%5E%7Bo%7D%20%29%5C%5Cy%3D677.29m)
So the ski lift is 677.29m high
Answer:
electrons
Explanation:
The net charge on the sphere is equal to:
![Q=-7\cdot 10^{-6}C](https://tex.z-dn.net/?f=Q%3D-7%5Ccdot%2010%5E%7B-6%7DC)
This charge is made up of N electrons. Each electron carries a charge of
![q=-1.6\cdot 10^{-19}C](https://tex.z-dn.net/?f=q%3D-1.6%5Ccdot%2010%5E%7B-19%7DC)
So the total charge is just the number of electrons times the charge of each electron:
![Q=Nq](https://tex.z-dn.net/?f=Q%3DNq)
And solving the equation for N, we find the number of electrons:
![N=\frac{Q}{q}=\frac{-7\cdot 10^{-6}C}{-1.6\cdot 10^{-19} C}=4.38\cdot 10^{13}](https://tex.z-dn.net/?f=N%3D%5Cfrac%7BQ%7D%7Bq%7D%3D%5Cfrac%7B-7%5Ccdot%2010%5E%7B-6%7DC%7D%7B-1.6%5Ccdot%2010%5E%7B-19%7D%20C%7D%3D4.38%5Ccdot%2010%5E%7B13%7D)
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