Answer: True
Explanation: density is a measure of the mass of matter contained by a unit volume. So, dividing the mass in grams, of any substance by its volume in centimeter cube, gives it's density in grams per centimeter cube (g/cm³)
1. For coherentbeams with wavelengths of 400 nm, the interference observed at points on the screen will be maximum when the optical path difference (OPD) is a whole number of wavelengths (), and minimum when the OPD is a half-integer number of wavelengths ().
Given
, the difference in optical path between the two cases is
The number of wavelengths difference can be calculated as , which is approximately 12.5 wavelengths.
2. In Newton's ringspattern, the radius of the m dark ring is given by , where R is the radius of curvature of the lens.
Given the distance between the second and fourth darkrings () as 5 mm, we can set up an equation:
Solving for R gives
Now, the radius of the 16th light ring can be calculated as , and the radius of the 8th light ring is . The distance between these two light rings is then given by:
Plugging in the values, we get .
3. When the intensity decreases by a factor of 5, the transmission of the polarizer and analyzer combination becomes times the original transmission, as intensity is proportional to the square of the transmission.
The relationship between the intensity and the angle between the main planes of the polarizer and the analyzer is given by Malus's law: , where is the initial intensity.
Given that decreases by a factor of 5, we have:
Solving for , we get:
Thus, the angle is .
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Answer:
a=3....................................
b.The height of each pyramid is h units.
c.The height of each pyramid is h units.
d.The height of each pyramid is h units.
Answer:
height of each pyramid must be 3h units
Explanation:
As we know that the volume of the cube is same as that of volume of square pyramid
so we have volume of the cube is given as
now if the base area of pyramid and the cube is same
so we will have
now since both have same volume
height of each pyramid must be 3h units
How far away from Ball X will Ball Y hit the ground?
Answer: The distance between Ball X and Ball Y is 4.0 meters
Explanation:
First we have to use the information we have from Ball Y to find time as well as it’s distance.
Ball Y’s Given:
Vx=8.0m/s
ax=0m/s^2
x=?
y=1.25m
ay=-10m/s^2
To find the time, use the equation t=(2y/g)^1/2.
t=(2(1.25)/10)^1/2
t=(2.5/10)^1/2
t=(0.25)^1/2
t=0.5s
Now we have to calculate how far away Ball Y fell from the base of the cliff. To do this use the equation x=(Vx)(t) and plug in the values.
x=(8.0m/s)(0.5s)
x=4.0m
Because Ball X is dropped from the cliff, we can conclude that the ball is 0meters away from the cliff. With this in mind, we can assume that the distance between Ball X and Ball Y is 4.0m.
Total Distance = Ball Y - Ball X
Total Distance = 4.0 m - 0 m
Total Distance = 4.0 m