The ratio of the -axis to the -axis is slope which is a constant.
\n\n
For case ,
\n\n
The relation between the weight hung and the length increased can be represented as,
\n\n
\n
\n\n
Where is the area of cross-section, is the initial length, and Young's modulus is represented by .
\n\n
The LHS represents the slope function. The RHS is constant for a given wire. Hence, we can say the slope will be a constant. Hence, this graph between weight hung (in the -axis), and the increased length (in the -axis) is a correct representation of the given two sets of values.
\n\n
For case ,
\n\n
The relation between the stress applied and the length increased can be derived by,
\n\n
\n \n \n
\n\n
The LHS represents the slope function. The RHS is constant for a given wire. Hence, we can say the slope will be a constant. Hence, the graph between stress in the -axis and the increased length in the -axis is a correct representation of the given two sets of values.
\n\n
For case ,
\n\n
The stress applied versus the strain developed is generally given by Young's modulus, which is constant for a material. Hence, the slope in the given graph can directly be represented by Young's modulus, which is a constant. \nHence, the above graph is an accurate representation of both the stress versus the strain, the given quantities in the - and -axes, respectively.
\n\n
For case ,
\n\n
The relation between the weight hung , and the increased length can be represented as,
\n\n
\n
\n\n
Where is the area of cross-section, and Young's modulus is represented by .
\n\n
The LHS represents the slope function. The RHS is constant for a given wire. Hence, we can say the slope will be constant. Hence, this graph is a correct representation of the length increased in the -axis and the weight hung in the -axis.
\n"},"encodingFormat":"text/html","position":3,"text":"length increased, and the weight hung."},"comment":{"@type":"Comment","text":"Any two variables that are directly proportional to each other, when plotted on a graph, have a straight line curve passing through the origin."},"eduQuestionType":"Checkbox","encodingFormat":"text/markdown","learningResourceType":"Practice problem","suggestedAnswer":[],"text":"
A student plots a graph from his readings on the determination of Young's modulus of a metal wire but forgets to put the labels. The quantities on the - and -axes may be, respectively,
\n\n
\n"},"name":"Quiz on Some Mechanical Properties of Matter","typicalAgeRange":"10-17","url":"https://www.embibe.com/questions/A-student-plots-a-graph-from-his-readings-on-the-determination-of-Young%27s-modulus-of-a-metal-wire-but-forgets-to-put-the-labels.-The-quantities-on-the-X--and-Y-axes-may-be%2C-respectively%2C%0A%E2%80%8B%E2%80%8B%E2%80%8B%E2%80%8B%E2%80%8B%E2%80%8B%E2%80%8B--%0A/EM4590495"}
H C Verma Solutions for Chapter: Some Mechanical Properties of Matter, Exercise 3: OBJECTIVE II
Author:H C Verma
H C Verma Physics Solutions for Exercise - H C Verma Solutions for Chapter: Some Mechanical Properties of Matter, Exercise 3: OBJECTIVE II
Attempt the practice questions on Chapter 14: Some Mechanical Properties of Matter, Exercise 3: OBJECTIVE II with hints and solutions to strengthen your understanding. CONCEPTS OF PHYSICS [VOLUME 1] solutions are prepared by Experienced Embibe Experts.
Questions from H C Verma Solutions for Chapter: Some Mechanical Properties of Matter, Exercise 3: OBJECTIVE II with Hints & Solutions
A student plots a graph from his readings on the determination of Young's modulus of a metal wire but forgets to put the labels. The quantities on the - and -axes may be, respectively,
A liquid is contained in a vertical tube of a semicircular cross-section. The contact angle is zero. The force of surface tension on the curved part and the flat part is in the ratio
A solid sphere moves at a terminal velocity of in the air at a place where . The sphere is taken in a gravity-free hall having air at the same pressure and pushed down at a speed of .