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metallic rod 1 cm long with a square cross-section is heated through 1°C. If Young's modulus of elasticity of the metal is E and the mean coefficient of linear expansion is alpha per degree Celsius, then the compressional force required to prevent the rod from expanding along its length is : (Neglect the change of cross sectional area)
Thermal expansion in form of change in length l2 = l1(1+alpha*t)Young’s modulus = E E = (F/A)/(l/L)E = FL/AlL = l + del l E = F (l+del l )/A* del l Find the value of F F = EA(alpha *t)/(1+ alpha *t)here, t= 1so, F = EA(alpha)/(1+ alpha)kindly approve :=)
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