Variation of Longitudinal Strain With Longitudinal Stress

Author:Odisha Board
11th Odisha Board
IMPORTANT

Important Questions on Variation of Longitudinal Strain With Longitudinal Stress

HARD
IMPORTANT

A steel wire of length 1 m and diameter 3 mm is stretched horizontally between supports attached at its ends. What load hung from the mid-point of the wire would be required to produce a depression of 1 cmY=2×1011 N/m2, g=9.8 m/s2.

HARD
IMPORTANT

A wire of length 1 m and radius 1 mm is welded to another wire of length 2 m and radius 2 mm. The free end of the first is clamped and a load of 5 kg is applied at the free end of the second wire. What is the total increase of compound wire? (Y of both wire=2×1011 N/m2).

HARD
IMPORTANT

A steel wire of 2 mm diameter is just stretched between two points at a temperature of 25°C. Determine the tension when the temperature falls to 15°C (linear expansively of steel=11×10-6l° K, Ysteel=2.1×1011 N/m2).

HARD
IMPORTANT

A wire of length 3 m, diameter 0.4 mm and Young's modulus 8×1010 N/m2, is suspended from a point and supports a heavy cylinder of volume 10-3 m3; at its lower end. Find the decrease in length when the metal cylinder is immersed in a liquid of density 800 kg/m3.

MEDIUM
IMPORTANT

A copper wire of 2.0 m long and 0.5 mm in diameter supports a mass of 10 kg. It is stretched by 2.38 mm. Calculate Young's modulus of the wire.

MEDIUM
IMPORTANT

Two wires of same material and same radius are stretched by equal forces. Find the ratio of their elongation if their lengths are in the ratio 1:2.

MEDIUM
IMPORTANT

A steel rail 100 m long and 40 cm2 in area of cross-section changes in length by 1 cm, then calculate tension developed in the rail? If young's modulus of the steel is 2×1011N/m2.