Two rods are made of brass and have the same length. The cross section of one of the rods is circular, with a diameter of 2a. Th
2 answers:
Answer:
A. The one with the circular cross section will stretch more.
Explanation:
According to the given data:
Two rods are made of brass and have the same length
Both rods having circular and square cross-section
Diameter of circular cross-section given is 2 a
therefore, Cross-section =
If the length of square=2 a
then, Cross-section = = (2a)²=>4a²
Change in Length of rod = PL / AE
δL
Now, we are considering other factors same
the area of cross-section of square rod is more than Area of cross-section of circular rod
thus, the one with the circular cross section will stretch more
Answer:
The correct option is;
A. The one with the circular cross section will stretch more.
Explanation:
Here we have the cross section as being
1. Circular, with diameter, D = 2·a
2. Square cross section with each side length = 2·a
The area of the circular rod is then
Area of circle = π·D²/4 which is equal to
π×(2·a)²/4 = π·4·a²/4 = π·a²
The area of the rod with square cross section is
Area of square = Side² which gives
Area of cross section = (2·a)² = 4·a²
Therefore, since π = 3.142, the cross sectional area of the circular rod is less than that of the one with a square cross section
That is, π·a² = 3.142·a² < 4·a²
We note that the elongation or extension is directly proportional to the force applied as shown as follows
Where:
P/A = Force and
δ = Extension
The force is inversely proportional to the area, therefore a rod with less cross sectional area experiences more force and more elongation.
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where
Similarly, the distance covered by train is equal to the product between the train's speed and the duration of the train ride, 7 h:
The total distance covered is S=255 km, which is the sum of the distances covered by car and train:
which becomes
we also know that the train speed is 5 km/h greater than the car's speed:
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and if we solve it, we find
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Explanation:
Given that,
The voltages across them are 40,50 and 60 volts respectively, and the charge on each condenser is 6×10⁻⁸ C.
(a) Capacitance of capacitor 1,
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