1. Displacement = 50 m North. Distance = 150m
Displacement is a vector. Distance is a scalar.
2. Displacement is 100 miles East.
<h3>The wavelength corresponds to the lower cut-off point of the sounds is 22.93 meter</h3>
<em><u>Solution:</u></em>
Given that,
A dog can hear sounds in the range from 15 to 50,000 Hz
The speed of sound at a temperature of
is: 344 m/s
To find: wavelength
![\lambda= \frac{v}{f}](https://tex.z-dn.net/?f=%5Clambda%3D%20%5Cfrac%7Bv%7D%7Bf%7D)
Where,
v is speed of sound
f is the frequency
f = lower cut off point = 15 Hz
![\lambda = \frac{344}{15}\\\\\lambda = 22.93](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7B344%7D%7B15%7D%5C%5C%5C%5C%5Clambda%20%3D%2022.93)
Thus the wavelength corresponds to the lower cut-off point of the sounds is 22.93 meter
The base unit for acceleration is m s ^-2
B
Most of the islands have a tropical humid climate
Answer:
The final image relative to the diverging lens at 9.0 cm.
Explanation:
Given that,
Focal length of diverging lens = -6.18 cm
Focal length of converging lens = 12.5 cm
Distance of object = 36.9 cm
We need to calculate the image distance of converging lens
Using formula of lens
![\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7Bf%7D-%5Cdfrac%7B1%7D%7Bu%7D)
![\dfrac{1}{v}=\dfrac{1}{12.5}-\dfrac{1}{-36.9}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7B12.5%7D-%5Cdfrac%7B1%7D%7B-36.9%7D)
![\dfrac{1}{v}=\dfrac{988}{9225}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B988%7D%7B9225%7D)
![v=9.33\ cm](https://tex.z-dn.net/?f=v%3D9.33%5C%20cm)
We need to calculate the image distance of diverging lens
Now, object distance is
![u=28.8-9.33=19.47 cm](https://tex.z-dn.net/?f=u%3D28.8-9.33%3D19.47%20cm)
Using formula of lens
![\dfrac{1}{v}=\dfrac{1}{-6.18}-\dfrac{1}{-19.47}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7B-6.18%7D-%5Cdfrac%7B1%7D%7B-19.47%7D)
![\dfrac{1}{v}=-\dfrac{22150}{200541}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D-%5Cdfrac%7B22150%7D%7B200541%7D)
![v=-9.0\ cm](https://tex.z-dn.net/?f=v%3D-9.0%5C%20cm)
The image is formed 9.0 cm to the left of the diverging lens.
Hence, The final image relative to the diverging lens at 9.0 cm.