Home
Class 12
PHYSICS
A steel wire length 20cm and uniform cro...

A steel wire length 20cm and uniform cross sectional area of 1mm2 is tired rigidly at both the ends at `45^@`. What will be the change in tension of the wire if the temperature of the wire is decreased to `20^@`c .
[ Y for steel = `2 xx 10^11 N/m^2`. the coefficient of linear expansion for steel = `1.1 xx 10^-5 /(0c)]`

Text Solution

Verified by Experts

Coefficient of linear expansion `alpha = (Delta)/(L(DeltaT))` There for `(Delta)/(L) = alpha DeltaT-(i)` and `Y = (F. L)/(A Delta L)` (ii) there for F = Y A (Delta L)/(l) = YA alpha Delta T` from (i) F 2 xx 10^11 xx 1 xx 10^-6 xx 1.1 xx 10^-5 xx 25` = 55N.
Promotional Banner

Similar Questions

Explore conceptually related problems

The resistance of a metal wire of length 1m is 3 ohm. The diameter of the wire is 0.2 m. Calculate the resistivity of the metal at the temperature.

A copper wire is stretched by one percent of its length. What is the energy stored per unit volume of the wire if Y for its material is 11 xx 10^10 N/m^2 .

An aluminium wire and a steel wire both of the same length and cross-section are joined end to end . The composite wire is hung from a rigid support and a load is suspended from the free end . If the increase in length of the composite wire is 2.7 mm, find the increase in length of each wire. Y_al = 7 xx 10^10 N/m^2 and Y_steel = 2 xx 10^11 N/m^2 .

The young's modulus of a wire of length 2m and area of cross section 1mm^2 is 2 xx 10^10 N/m^2 . What is the work done in increasing it's length by 2mm.

A steel wire of length 1 m and diameter 0.2mm is elongated by 1mm due to a weight of 3.14kg. The Young's modulus of steel wire is

A steel rod is 3.000 cm in diameter at 25^@C . A brass ring has an interior diameter of 2.992 cm at 25^@C . At what common temperature will the ring just slide onto the rod ? (Coefficient of linear expansion of steel= 12 xx 10^(-6) per k and coefficient of linear expansion of brass= 18 xx 10^(-6) per k) .