Elasticity

Q: For two different material it is given that Y₁ > Y₂ and B₁ < B₂ . Here, Y is Young’s modulus of elasticity and B is the bulk modulus of elasticity. Then, we can conclude that

(a) 1 is more ductile

(b) 2 is more ductile

(c) 1 is more malleable

(d) 2 is more malleable

Q: An aluminium rod having Young’s modulus 7 × 10⁹ Nm^-2 has a breaking strain of 0.2 % The minimum cross-sectional area of the rod (in m²) in order to support a load of 10⁴ N is

(a) 1 × 10^-2

(b) 1 × 10^-8

(c) 1.4 × 10^-2

(d) 7.1 × 10^-4

Q: A thick uniform rubber of density 1.5 g cm-3 and Young’s modulus 5 × 10⁶ Nm^-2 has a length of 8 m. When hung from the ceiling of a room. The increase in length of the rope due to its own weight will be (Given, g = 10 ms^-2)

(a) 9.6 × 10^-8 m

(b) 19.2 × 10^-3 m

(c) 9.6 × 10^-3 m

(d) 9.6 m

Q: When the pressure on all sides of a metal cube is increased by 10⁷ Pa. its volume decreases by 0.015%. the bulk modulus of the metal is

(a) 6.67 × 10¹⁰ pa

(b) 7.67 × 10¹⁰ Pa

(c) 5.67 × 10¹⁰ Pa

(d) 4.67 × 10¹⁰ Pa

Q: When the tension on wire is 4 units, its length is l₁ and when the tension is 5 units, its length is l₂ . Its natural length is

(a) 4l₁ – 3l₂

(b) 5 l₁ – 4l₂

(c) 5l₂ – 4 l₁

(d) (l₁ + l₂)/2