The velocity of sound in at 300C is 511.3 m/s.
Explanation:
The equation that gives the speed of sound in ar as a function of the air temperature is the following:

where
T is the temperature of the air, measured in Celsius degrees
In this problem, we want to find the speed of sound in ar for a temperature of

Substituting into the equation, we find:

So, the velocity of sound in at 300C is 511.3 m/s.
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Answer:
(A) 
(B) 
Explanation:
Given:
- diameter of the cylinder,

- mass of piston sealing on the top,

- initial temperature of the piston,

- initial height of piston,

- atmospheric pressure on the piston,

(A)
<u>Initial pressure of gas is the pressure balanced by the weight of piston:</u>



<em>Which is gauge pressure because it is measured with respect to the atmospheric pressure.</em>
(B)
Given:
- Final temperature,

<u>Now, volume of air initially in the cylinder:</u>



Using gas law:
........................................(1)
<em>∵In every condition of equilibrium the gas pressure will be balanced by the weight of the piston so it is an </em><em>isobaric transition</em><em>.</em>
∴
<u>Hence eq. (1) is reduced to:</u>

putting respective values:


The particles are very compact and dense in the iron nail.
Answer:
420000N
Explanation:
Given parameters:
Mass of the train = 5.6 x 10⁵kg
Acceleration = 0.75m/s²
Unknown:
Resultant force = ?
Solution:
According to newton's second law, force is the product of mass and acceleration;
Force = mass x acceleration
Resultant force that acts on the train is given below;
Force = 5.6 x 10⁵kg x 0.75m/s² = 420000N
Focal length is the distance between the center of a convex lens or a concave mirror and the focal point of the lens or mirror — the point where parallel rays of light meet, or converge. From the optics the focal length of the mirror can be defined as the radius of the mirror divided between two, or in other words, half the radius of the mirror.



Therefore the focal length of the mirror is 17cm