Answer:
-18
Explanation:
acellus use the formula of magnification and watch your minus sign
The answer is <span>A. Speed=100 million m/s and frequency = 50 million Hz.</span>
Let's calculate for each choice the wavelength using the equation:
v = f × λ ⇒ λ = v ÷ f<span>
where:
v - the speed,
f - the frequency,
</span>λ - the wavelength.
A:
v = 100 000 000 m/s
f = 50 000 000 Hz = 50 000 000 1/s (Since f = 1/T, so units are Hz = 1/s)
⇒ λ = 100 000 000 ÷ 50 000 000 = 2 m
B:
v = 150 000 000 m/s
f = 1 500 Hz = 1 500 1/s
⇒ λ = 150 000 000 m/s ÷ 1 500 = 100 000 m
B:
v = 300 000 000 m/s
f = 100 Hz = 100 1/s
⇒ λ = 300 000 000 m/s ÷ 100 = 3 000 000 m
According to these calculations, the shortest wavelength is needed for choice A.
Answer:
17.6 m/s²
Explanation:
Given:
= 90 m/s (final velocity)
= 2 m/s (initial velocity)
Δt = 5s (change in time)
The formula for acceleration is:
= Δv / Δt
We can find Δv by doing
Δv =
- 
Replace the values
Δv = 90m/s - 2m/s
Δv= 88m/s
Using the equation from earlier, we can find the acceleration by dividing the average velocity by time.
= Δv / Δt
= 
acceleration = 17.6 
The formula PE(Potential Energy)= mgh
Answer:
<u>At 268.82°C</u> volume occupied by nitrogen is 10 liters at pressure of 900 torr.
Explanation:
Given:
Volume of a sample of nitrogen = 5.50 liters
Pressure = 900 torr
Temperature = 25°C
To find the temperature at which the nitrogen will occupy 10 liters volume at same pressure.
Solution:
Since the pressure is kept constant, so we can apply the temperature-volume law also called the Charles Law.
Charles Law states that the volume of a gas held at constant pressure is directly proportional to the temperature of the gas in Kelvin.
Thus, we have :
∝ 

where
is a constant.
For two samples of gases, the law can be given as:

From the data given:



We need to find
.
Plugging in values in the formula.

Multiplying both sides by
.


Multiplying both sides by 



Thus, at 268.82°C volume occupied by nitrogen is 10 liters at pressure of 900 torr.