Daily Practice Problems Mechanical Properties of Solids

Question 1:

A rubber sheet is stretched by a force, and then a hole is punched in the middle of the sheet. How does the presence of the hole affect the overall stiffness and elasticity of the sheet? Discuss the concept of stress concentration and its impact on material behavior. [Level: Easy]

(a) Y x E

(b) (Y x E)

(d) (Y x E²)

Question 2:

Question 3:

A cylindrical container is filled with water, and its volume increases due to thermal expansion. How does the increase in volume of the container relate to its bulk modulus and coefficient of thermal expansion? Explain the mechanism of thermal expansion in relation to the intermolecular forces in the material. [Level: Moderate]

Question 4:

The Young's modulus is 5 times greater than the rigidity modulus for a given material. What is the Poisson's ratio? [Level: Easy]

(a) 2.4

(b) 1.5

(d) 0.2

Question 5:

Volume compression is applied to a homogeneous cube. What is the Bulk strain if it is determined by reducing each side by 3%. [Level: Moderate]

(a) 0.01

(b) 0.09

(d) 0.06

Question 6:

The same force is used to stretch two copper wires with lengths that are in ratio 6:1 and radii that are 1:3. The two will have a longitudinal strain ratio of: [Level: Moderate]

(a) 1 : 9

(b) 9 : 1

(d) 64 : 1

Question 7:

A wire with a length of 1 metre and a cross-sectional area of 1 cm² is heated from 0^oC to 1000^oC.The force needed if the rod's length cannot be increased is (α=10⁻⁵/ ^∘C and Y=10¹¹N/m²) [Level: Easy]

(a) 10³ N

(b) 10⁴ N

(d) 10⁹ N

Question 8:

A rectangular block is compressed along one of its dimensions. How does the strain in the block vary with the applied force? Describe the concept of elastic limit and the consequences of exceeding it. [Level: Moderate]

Question 9:

Young's modulus is 5 x 10⁶ Nm^-2 for a 10 m long and density 2.5 X 10³ kg/m³ thick rubber rope. The increase in length caused by its own weight when stretched from a room's ceiling is [Level: Easy]

(a) 0.25 cm

(b) 19.2 x 10^-5 m

(d) 0.25 mm

Question 10:

A beam is subjected to a bending moment. How does the maximum stress in the beam change if the length of the beam is halved while keeping the bending moment constant? Discuss the relationship between stress, moment of inertia, and beam length. [Level: Moderate]

Question 11:

A cable is replaced out for one that is identical in terms of length and substance but has thrice the diameter. What effect does this have on the highest load it can support without exceeding the elastic limit? [Level: Moderate]

(a) half

(b) doubled

(d) one-fourth

Question 12:

Brass has an elastic limit of 350MPa. What size brass rod should have as a minimum to support a 500N weight without going over its elastic limit? [Level: Moderate]

(a) 1.16 mm

(b) 0.90 mm

(d) 1.00

Question 13:

A steel wire of cross-sectional area 5×10⁻⁶m² can withstand a maximum strain of 10⁻⁴. Young's modulus of steel is 2×10¹¹N/m². The maximum mass this wire can hold is [Level: Hard]

(a) 40 kg

(b) 60 kg

(d) 100 kg

Question 14:

Consider the following statements.

Assertion:

The same copper and steel springs are evenly stretched. More work will be done on the steel spring.

Reason:

Steel is more elastic than copper.

Identical springs of steel and copper are equally stretched. More work will be done on the steel spring. [Level: Easy]

(a) Both A and R are true and R is the correct explanation of A

(b) Both A and R are true and R is not the correct explanation of A

(d) A is false but R is true

Question 15:

A rubber band is stretched by a force F. If the force is doubled, how does the elongation of the rubber band change? What can you infer about the elasticity of the rubber band? [Level: Moderate]

Question 16:

A diving board is deflected downward by a weight of 100 kg. If the diving board has a spring constant of 1000 N/m, what is the potential energy stored in the diving board? [Level: Moderate]

Question 17:

Two identical springs are connected in series and subjected to a force. How does the total potential energy stored in the system compare to the potential energy stored in each individual spring? [Level: Hard]

Question 18:

Assertion: Elastic potential energy is stored in a stretched or compressed object.

Reasoning: When an object is deformed elastically, work is done on it, and this work is stored as potential energy. [Level: Hard]

(a) Both A and R are true and R is the correct explanation of A

(b) Both A and R are true and R is not the correct explanation of A

(d) A is false but R is true

Question 19:

The next four wires are constructed from the same material. When the same strain is applied, which of them will have the greatest extension? [Level: Moderate]

(a) Length = 50 cm, diameter = 0.5 mm

(b) Length = 100 cm, diameter = 1 mm

(d) Length = 300 cm, diameter = 3 mm.

Question 20:

A point in the ceiling is rigidly attached to one end of a uniform wire with length L and weight W, and a weight W1 is hanging from the lower end. The stress in the wire at a height of L from its lower end is as follows if A is the area of the wire's cross-section: [Level: Hard]

(a)

(b)

(c)

(d)

**********

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All About Daily Practice Problems on NEET Physics Mechanical Properties of Solids NCERT Chapter 9

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on NEET Physics Mechanical Properties of Solids NCERT Chapter 9 useful.

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