'Resistivity' is usually considered to be a property of a substance, not a structure.
In the normal unit of resistivity, the length and cross-section area are divided out,
so they don't affect the 'resistivity.
In the case of your piece of wire, the only characteristic that it seems reasonable
to discuss is just plain good old 'resistance'.
I think the point of this question is to investigate the relative effects ... of a change
in length compared to the same change in diameter ... on the initial resistance of a
piece of wire.
Length:
The resistance of the sample is directly proportional to its length.
Diameter:
The resistance of the sample is inversely proportional to the cross-sectional area,
which is the same as saying 'inversely proportional to the square of the diameter'.
So, let's look at the choices listed in the question:
Change length to 1/2:
Resistance changes to 1/2 .
Change length and diameter both to1/2 :
Resistance changes by factor of 1/2 x 4 = 2
Length doubles, diameter 1/2:
Resistance changes by factor of 2 x 4 = 8 times
Length doubled, diameter doubled:
Resistance changes by factor of 2 x 1/4 = 1/2
The first and last choices both reduce the resistance.
The others both increase the resistance.
Resistivity is a property of a substance, and doesn't depend on the dimensions of a sample. If the length of a conductor is doubled, then its resistance doubles but its resistivity doesn't change.
If the frequency is doubled then the wave length and period will be halved because in the same time that the original wave occurred, you will now see 2 waves. .here is NO change in its its speed.
If spring is cut into two parts, each spring will have it's stiffness doubled. For n parts, stiffness of each part will be nk
Take measurements of resistances of various lengths of a wire of constant diameter. Make a graph of resistance against length / cross-sectional area of wire. The gradient of the straight line section will be equal to the resistivity of the wire.
The PERIOD of a Simple Pendulum is affected by its LENGTH, and NOT by its Mass or the amplitude of its swing. So, in your case, the Period of the Pendulum's swing would remain UNCHANGED!
if length is doubled then resistivity increases&when area is doubled resistivity decreases.
Resistivity is a property of a substance, and doesn't depend on the dimensions of a sample. If the length of a conductor is doubled, then its resistance doubles but its resistivity doesn't change.
It is halved.It is halved.It is halved.It is halved.
The volume is doubled.
Resistivity of a wire of a certain material is independent of the wire's length. The only thing that would change is resistance. Since R=ρ/A, in the case of length doubling, resistance will also double.Resistance (R, Ω)Resistivity (ρ, Ω m)Length (, m)Cross surface area (A, m²)
its diameter is lower by the square root of 2 which is 1414 times smaller
Nothing. Resistivity is a physical characteristic of a material. It's not affected by its shape, etc.
If the frequency is doubled then the wave length and period will be halved because in the same time that the original wave occurred, you will now see 2 waves. .here is NO change in its its speed.
The answer depends on whether the cross sectional radius/diameter are doubles or the cross sectional area is doubled.
The answer depends on whether the cross sectional radius/diameter are doubles or the cross sectional area is doubled.
The resistance is directly proportional to the length of conductor and inversely proportional to area of the cross section.If the length is doubled then the resistance will double.Resistance=rho*l/arho=resistivity of the material (Ohms/m) and depends on the material used for the wirel=length of the wirea= area of the cross section of the wire.
If spring is cut into two parts, each spring will have it's stiffness doubled. For n parts, stiffness of each part will be nk