Test mechanical properties of solids

           Test solids            

                       Class 11 Physics – Mechanical Properties of Solids

Multiple Choice Questions

Q1. Stress is defined as:

A) Force × Area    B) Force per unit area     C) Change in length per unit length D) Force per unit volume

Q2. The SI unit of Young’s modulus is:

A) N   B) N/m   C) N/m²    D) J

Q3. Strain is a:

  A) Scalar quantity with unit metre   B) Vector quantity

C) Dimensionless quantity   D) Quantity measured in pascal

Q4. Hooke’s law is valid up to the:

A) Breaking point       B) Elastic limit (approximately, within the proportional limit)

C) Plastic region       D) Fracture point

Q5. Young’s modulus is given by:

A) Stress × Strain             B) Strain / Stress

C) Stress / Strain              D) Force × Area

Q6. If the length of a wire is doubled while its area and applied force remain constant, its extension becomes:

A) Half   B) Double    C) Four times    D) Unchanged

Q7. Which material generally has the highest Young’s modulus?

A) Rubber    B) Steel   C) Sponge   D) Soft plastic

Q8. The reciprocal of bulk modulus is called:

A) Rigidity   B) Compressibility   C) Young’s modulus    D) Stress

Q9. Poisson’s ratio is the ratio of:

A) Longitudinal strain to lateral strain   B) Lateral strain to longitudinal strain, with a negative sign      C) Stress to strain     D) Pressure to volume

Q10. The elastic potential energy stored per unit volume in a linearly elastic material is:

A) Stress × Strain    B) 1/2xStress x Strain   C) Stress/Strain   D) 1/2xStress x (Strain)2

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Q11. Define stress and strain. Explain their different types with SI units. Also explain steel is more elastic then rubber.

Q12. State and explain Hooke’s law. Draw and explain the stress–strain curve for a typical metallic wire,.also explain . proportional limit, elastic limit, yield point, ultimate tensile strength, and fracture point.on the curve.

Q13. Define Young’s modulus, bulk modulus, and shear modulus. Derive the expression for the extension of a wire under a longitudinal force. The length of a wire is l1 when tension is T1 and length is l1 tension is T2. Find the actual length of the wire.

Q14. What is Poisson’s ratio? Define elastic potential energy and derive the expression for energy stored per unit volume in a stretched wire, if stress and strain of the wire is given.

Q15. A wire of length 2m and cross-sectional area 1x 10-6m2 is stretched by a force of  100 N. If Young’s modulus of the material is 2 x 10 11N/m2 calculate the extension produced in the wire. Also explain how knowledge of elasticity is useful to select the wire used in crane to lift the heavy load.

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