Answer:
The comparisons are;
The height of the bromine in the 50 ml beaker will be twice that of the 100 ml beaker
The measurement of the volume with the 50 ml beaker will be more accurate than the measurement taken with the 100 ml beaker, because the differences in the height of the bromine in the 50 ml beaker is more obvious than the differences measured with the 100 ml beaker.
The actual volume of bromine in both beakers will be equivalent
Explanation:
The properties of a liquid are;
1) The volume of a liquid is relatively fixed at conditions that are suitable for it to remain in the liquid state compared to the volume occupied by a gas
2) A liquid will assume the shape of a container in which it is placed
3) The surface of a liquid in a container is flat due in order that the attractive forces between the molecules of the liquid at the surface and inside the body of the liquid should be in equilibrium
Therefore, given that the volume of the Bromine is measured in 50 ml beaker and a 100 ml beaker, there will be differences in the measured height of the same volume of bromine in each beaker.
The rock would be at a point 12 m from water at a time <u>4.8 s</u>.
Take the origin of the coordinate system at the top of the cliff. It is thrown upwards with a velocity u. When the rock is at a point 12 m from water, calculate the vertical displacement of the rock from the origin.

Use the equation of motion,

The rock falls under the acceleration due to gravity, directed down wards.
Substitute 18 m/s for u, -26 m for y and -9.8 m/s² for a=g.

Solve the quadratic equation for t.

Taking only the positive value,

After a time of <u>4.8 s</u> the rock would be at a distance of 12 m from water.
Answer:
The centripetal acceleration of the satellite is
.
Explanation:
Given that,
The distance covered by a geosynchronous satellite, d = 42250 km
The time taken by the satellite to covered distance, t = 1 day = 24 hours
Since, 24 hours = 86400 seconds
Let v is the speed of the satellite. It is given by the total distance divided by total time taken such that :



v = 3072.5 m/s
The centripetal acceleration of the satellite is given by :



So, the centripetal acceleration of the satellite is
. Hence, this is the required solution.
To solve this problem it is necessary to apply the concepts related to intensity as a function of power and area.
Intensity is defined to be the power per unit area carried by a wave. Power is the rate at which energy is transferred by the wave. In equation form, intensity I is

The area of a sphere is given by

So replacing we have to

Since the question tells us to find the proportion when

So considering the two intensities we have to


The ratio between the two intensities would be

The power does not change therefore it remains constant, which allows summarizing the expression to

Re-arrange to find 



Therefore the intensity at five times this distance from the source is 