A sample of an ideal gas is heated, and its kelvin temperature doubles. The average speed of the molecules in the sample will increases by a factor of
The root-mean square (RMS) velocity is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values. The RMS velocity is that of a wave through sub-surface layers of different interval velocities along a specific ray path.
Root mean square speed is a statistical measurement of speed.
The root mean square speed can be calculated as : V1 : 
if temperature becomes double
let T1 is initial temperature
So , T2 = 2 * T1
now ,
Root mean square speed will be (V2) = 
=
* 
=
V1
Thus when temperature becomes double, the root mean square speed increases by a factor of
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Answer:
Frequency, 
Explanation:
Given that,
Wavelength of the light,

We need to find the frequency of light. We know that light is an electromagnetic wave. It moves with the speed of light. So,

f is the frequency of light

So, the frequency of light is
. Hence, this is the required solution.
The time taken for the light to travel from the camera to someone standing 7 m away is 2.33×10¯⁸ s
Speed is simply defined as the distance travelled per unit time. Mathematically, it is expressed as:
<h3>Speed = distance / time </h3>
With the above formula, we can obtain the time taken for the light to travel from the camera to someone standing 7 m away. This can be obtained as follow:
Distance = 7 m
Speed of light = 3×10⁸ m/s
<h3>Time =?</h3>
Time = Distance / speed
Time = 7 / 3×10⁸
<h3>Time = 2.33×10¯⁸ s</h3>
Therefore, the time taken for the light to travel from the camera to someone standing 7 m away is 2.33×10¯⁸ s
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Answer:
Explanation:
Given
Inclination 
Distance of landing point 
Considering athlete to be an Projectile
range of projectile is given by

where u=launch velocity




(b)If u is increased by 8% then
new velocity is 


Answer:
7.5secs
Explanation:
Using the equation of motion
v = u + at
v is the final velocity = 0m/s
u is the initial velocity = 9m/s
a is the deceleration = -1.2m/s²
t is the required time
Substitute;
0 = 9 + 1.2(t)
-9 = -1.2t
t = -9/-1.2
t = 7.5secs
hence it takes the child 7.5secs to stop