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vazorg [7]
4 years ago
5

Two cylindrical resistors are made of the same material and have the same resistance. The resistors, R1 and R2, have different r

adii, r1 and r2, and different lengths, L1 and L2. Which of the following relative values for radii and lengths would result in equal resistances?
a. r1 = r2 and L1 = 2L2
b. 2r1 = r2 and L1 = 2L2
c. r1 = r2 and 4L1 = L2
d. 2r1 = r2 and 4L1 = L2
Physics
1 answer:
Paladinen [302]4 years ago
7 0

Answer:

Option d is correct.

Explanation:

We know , resistance of a body is directly proportional to its length and inversely proportional to its area.

R=\dfrac{\rho\ L}{A}=\dfrac{\rho\ L}{\pi r^2}      ( Here, \rho is constant dependent on object material )

Writing R_1 \ and\ R_2 also :

R_1=\dfrac{\rho\ L_1}{\pi r_1^2}\ , \  R_2=\dfrac{\rho\ L_2}{\pi r_2^2}      ( since they are of same material therefore, \rho is same.)

Now , if r_2=2r_1 \ and \ 4L_1=L_2.

Then R_1=R_2

Therefore, option d. is correct.

Hence, this is the required solution.

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Magma from the mantle rises and flows out through a vent onto Earth's surface as lava. This molten material, sometimes along with ash, cinders, and rock, builds up a mountain around the vent. The vent and its mountain together are called a sediment.


hope this helps
5 0
3 years ago
Read 2 more answers
A 500-kilogram sports car accelerates uni-
timama [110]

Answer:

90 meters

Explanation:

Given:

x₀ = 0 m

v₀ = 0 m/s

v = 30 m/s

t = 6 s

Find:

x

x = x₀ + ½ (v + v₀)t

x = 0 + ½ (30 + 0)(6)

x = 90

The car travels 90 meters.

3 0
3 years ago
Speed (mph) 58 72 55 65 70 81 66 What car goes the fastest? Put the car speed in order, from fastest to slowest miles per hour.
RoseWind [281]

Answer:

The answer to your question is letter B

Explanation:

Data

Order from fastest to slowest speed

           58 72 55 65 70 81 66

The fastest is  81, then, 72, 70, then, 66, 65 finally 58 and 55

The correct order

       81 mi/h, 72 mi/h, 70 mi/h, 66 mi/h, 65 mi/h, 58 mi/h, 55 mi/h

The other options are from slowest to fastest or a different order.

7 0
4 years ago
How many times does lightning strike the empire state building
Salsk061 [2.6K]

Answer:

Lightning strikes the empire state building at an average of about 23 times a year.

Explanation:

The Empire State Building is one of the tallest buildings in New York. Because of how high it stretches up into the sky, lightning strikes are quite common to it. This is because part of the building touches the clouds which are usually charged during thunder storms.

According to weather reports, and the Empire State Building website, lightning strikes the empire state building about 23 times a year on the average.

3 0
3 years ago
Two magnets are sliding towards each other. One of the magnets, which has a mass of 125 grams, is moving in the positive x-direc
olasank [31]

Answer:

0.45 m/s in the negative x-direction

Explanation:

From the law of conservation of momentum, the sum of initial momentum equals the sum of final momentum

Momentum, p=mv where m is the mass and v is the velocity

m_1v_1+m_2v_2=(m_1+m_2)v_c where v_c is the common velocity, v_1 and v_2 are velocities of magnet moving in positive x-direction and magnet moving in negative x-direction respectively, m_1 and m_2 are masses of magnet moving in positive x-direction and magnet moving in negative x-direction respectively.

Substituting 125 g for m_1 and 85 g for m_2, 7.33 m/s v_1, -11.9 m/s for v_1 then

125 g\times 7.33 m/s + (85 g\times -11.9)=(125 g+ 85 g)\times v_c

-95.25 g. m/s=210 g v_c

v_c=\frac {-95.25 g.m/s}{210 g}=-0.453571429 m/s
\approx -0.45 m/s

Therefore, the velocity of single unit is 0.45 m/s in the negative x-direction

5 0
3 years ago
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