Mechanical Properties of Solids Test

Result

Mechanical Properties of Solids Test - 30

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Weekly Quiz Competition

Question 1
4 / -1

The relationship between Young\'s modulus Y, Bulk modulus K and modulus of rigidity η is

A

B

C

D

Solution
Question 2
4 / -1

Which is correct relation?

A
Y < σ

B
Y > σ

C
Y = σ

D
σ = + 1
Question 3
4 / -1

The possible value of Poisson\'s ratio is

A
1

B
0.9

C
0.8

D
0.4

Solution
Question 4
4 / -1

The relation between γ, η and K for a elastic material is

A

B

C

D
Question 5
4 / -1

A light rod of length 2 m suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight W is hung from a light rod as shown in figure. The rod hung by means of a steel wire of cross-sectional area A₁ = 0.1 cm² and brass wire of cross-sectional area A₂ = 0.2 cm². To have equal stress in both wires, T₁/T₁ is equal to

A
1/3

B
1/4

C
4/3

D
1/2

Solution
Question 6
4 / -1

Two rods of different materials having coefficients of linear expansion a₁, a₂ and Young\'s moduli Y₁ and Y₂ respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If a₁ : a₂ = 2 : 3, the thermal stresses developed in the two rods are equally provided Y₁: Y₂ is equal to

A
2: 3

B
1: 1

C
3: 2

D
4: 9

Solution
Question 7
4 / -1

The extension in a string obeying Hooke\'s law is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5 x, the speed of sound will be

A
1.22v

B
0.61v

C
1.50v

D
0.75 v

Solution
Question 8
4 / -1

One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W₁ is suspended from its lower end. If S is the area of cross-section of the wire, the stress in the wire at a height 3L/4 from its lower end is

A

B

C

D

Solution
Question 9
4 / -1

A particle of mass m is under the influence of a force F which varies with the displacement x according to the relation F = –kx + F₀ in which k and F₀ are constants. The particle when disturbed will oscillate

A

B

C

D

Solution
Question 10
4 / -1

A student performs an experiment to determine the Young\'s modulus of a wire, exactly 2 m long, by Searle\'s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ± 0.01 mm. Take g = 9.8 m/s² (exact). The Young\'s modulus obtained from the reading is

A
(2.0 ± 0.3) × 1011 N/m²

B
(2.0 ± 0.2) × 1011 N/m²

C
(2.0 ± 0.1) × 1011 N/m²

D
(2.0 + 0.05) × 1011 N/m²