<u>Answer:</u> The wavelength for X-rays with the given frequency is ![1\times 10^{-10}m](https://tex.z-dn.net/?f=1%5Ctimes%2010%5E%7B-10%7Dm)
<u>Step-by-step explanation:</u>
To calculate the wavelength of light, we use the equation:
![\lambda=\frac{c}{\nu}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7Bc%7D%7B%5Cnu%7D)
where,
= wavelength of the light
c = speed of light = ![3\times 10^8m/s](https://tex.z-dn.net/?f=3%5Ctimes%2010%5E8m%2Fs)
= frequency of light = ![3\times 10^{18}s^{-1}](https://tex.z-dn.net/?f=3%5Ctimes%2010%5E%7B18%7Ds%5E%7B-1%7D)
Putting the values in above equation, we get:
![\lambda=\frac{3\times 10^8m/s}{3\times 10^{19}s^{-1}}=1\times 10^{-10}m](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B3%5Ctimes%2010%5E8m%2Fs%7D%7B3%5Ctimes%2010%5E%7B19%7Ds%5E%7B-1%7D%7D%3D1%5Ctimes%2010%5E%7B-10%7Dm)
Hence, the wavelength for X-rays with the given frequency is ![1\times 10^{-10}m](https://tex.z-dn.net/?f=1%5Ctimes%2010%5E%7B-10%7Dm)
Answer: 8.5%
7/82=0.0853
Multiply by 100 to get percentage
0.0853 x 100 = 8.53
Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A = ![$ \frac{1}{2} \times d_1 \times d_2 $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20d_1%20%5Ctimes%20d_2%20%24)
where,
and
are the lengths of the diagonals.
Here,
units.
And,
units.
Therefore, the area A = ![$ \frac{1}{2} \times 18 \times 24 $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2018%20%5Ctimes%2024%20%24)
= ![$ \frac{432}{2} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B432%7D%7B2%7D%20%24)
= 216 sq. units which is the required answer.
Answer:
x-3 and y=2
Step-by-step explanation: