A wire of length 1m has resistance of 10 ohm.if its length become 2m by stretching it then what is new value of resistance?
Science
To find the new value of resistance when the length of the wire changes, you need to use the formula for resistance:
Resistance (R) = Resistivity (ρ) x Length (L) / Cross-sectional area (A)
In this case, the cross-sectional area of the wire remains the same, so we only need to consider the change in length.
Given that the initial length (L1) is 1m and the resistance (R1) is 10 ohm, and the new length (L2) is 2m, we need to find the new resistance (R2).
We can set up the following ratio equation using the formula for resistance:
R2 / R1 = L2 / L1
Now we can substitute the values into the equation and solve for R2:
R2 / 10 ohm = 2m / 1m
Cross multiplying:
R2 = 10 ohm x 2m / 1m
R2 = 20 ohm
Therefore, the new value of resistance when the length of the wire is stretched to 2m is 20 ohm.