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For motion in 3 dimensions we need
- a)No frame of reference is required; a set of 3 points will do.
- b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axes
- c)No frame of reference is required, a single point will do.
- d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axes
Correct answer is option 'B'. Can you explain this answer?
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For motion in 3 dimensions we needa)No frame of reference is required...
Motion is a change in position of an object with time. In order to specify position, we need to use a reference point and a set of axes. It is convenient to choose a rectangular coordinate system consisting of three mutually perpendicular axes, labelled X-, Y-, and Z- axes.
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The point of intersection of these three axes is called origin (O) and serves as the reference point. The coordinates (x, y. z) of an object describe the position of the object with respect to this coordinate system.
To measure time, we position a clock in this system. This coordinate system along with a clock constitutes a frame of reference.
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For motion in 3 dimensions we needa)No frame of reference is required...
To understand motion in three dimensions, a frame of reference is required. A frame of reference is a coordinate system that allows us to describe the position and motion of objects.
Option B is the correct answer because it provides a suitable frame of reference for motion in three dimensions. Let's break down the components of this frame of reference:
1. Clock: A clock is necessary to measure the time during the motion. It helps in determining the duration and speed of the motion.
2. Cartesian Coordinate System: This coordinate system consists of three mutually perpendicular axes - X, Y, and Z axes. These axes allow us to specify the position of an object in three-dimensional space.
- X-Axis: This axis represents the horizontal direction. It is labeled as the X-axis and is perpendicular to the Y and Z axes.
- Y-Axis: This axis represents the vertical direction. It is labeled as the Y-axis and is perpendicular to the X and Z axes.
- Z-Axis: This axis represents the depth or height direction. It is labeled as the Z-axis and is perpendicular to the X and Y axes.
By using this Cartesian coordinate system, we can determine the exact position of an object in three-dimensional space by specifying its coordinates along the X, Y, and Z axes.
The combination of a clock and a Cartesian coordinate system with three mutually perpendicular axes provides a complete frame of reference for motion in three dimensions. It allows us to describe the position, velocity, and acceleration of objects moving in all three directions.
Other options mentioned in the question are incorrect:
- Option A suggests that no frame of reference is required, which is incorrect. A frame of reference is necessary to analyze motion accurately.
- Option C suggests that a single point is sufficient, which is incorrect. A single point does not provide enough information to describe motion in three dimensions.
- Option D suggests a frame of reference with only two axes, which is insufficient for describing motion in three dimensions. Three axes are required to represent all spatial directions.
Option B is the correct answer because it provides a suitable frame of reference for motion in three dimensions. Let's break down the components of this frame of reference:
1. Clock: A clock is necessary to measure the time during the motion. It helps in determining the duration and speed of the motion.
2. Cartesian Coordinate System: This coordinate system consists of three mutually perpendicular axes - X, Y, and Z axes. These axes allow us to specify the position of an object in three-dimensional space.
- X-Axis: This axis represents the horizontal direction. It is labeled as the X-axis and is perpendicular to the Y and Z axes.
- Y-Axis: This axis represents the vertical direction. It is labeled as the Y-axis and is perpendicular to the X and Z axes.
- Z-Axis: This axis represents the depth or height direction. It is labeled as the Z-axis and is perpendicular to the X and Y axes.
By using this Cartesian coordinate system, we can determine the exact position of an object in three-dimensional space by specifying its coordinates along the X, Y, and Z axes.
The combination of a clock and a Cartesian coordinate system with three mutually perpendicular axes provides a complete frame of reference for motion in three dimensions. It allows us to describe the position, velocity, and acceleration of objects moving in all three directions.
Other options mentioned in the question are incorrect:
- Option A suggests that no frame of reference is required, which is incorrect. A frame of reference is necessary to analyze motion accurately.
- Option C suggests that a single point is sufficient, which is incorrect. A single point does not provide enough information to describe motion in three dimensions.
- Option D suggests a frame of reference with only two axes, which is insufficient for describing motion in three dimensions. Three axes are required to represent all spatial directions.
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For motion in 3 dimensions we needa)No frame of reference is required; a set of 3 points will do.b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axesc)No frame of reference is required, a single point will do.d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axesCorrect answer is option 'B'. Can you explain this answer?
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For motion in 3 dimensions we needa)No frame of reference is required; a set of 3 points will do.b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axesc)No frame of reference is required, a single point will do.d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axesCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about For motion in 3 dimensions we needa)No frame of reference is required; a set of 3 points will do.b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axesc)No frame of reference is required, a single point will do.d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For motion in 3 dimensions we needa)No frame of reference is required; a set of 3 points will do.b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axesc)No frame of reference is required, a single point will do.d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axesCorrect answer is option 'B'. Can you explain this answer?.
For motion in 3 dimensions we needa)No frame of reference is required; a set of 3 points will do.b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axesc)No frame of reference is required, a single point will do.d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axesCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about For motion in 3 dimensions we needa)No frame of reference is required; a set of 3 points will do.b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axesc)No frame of reference is required, a single point will do.d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For motion in 3 dimensions we needa)No frame of reference is required; a set of 3 points will do.b)frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labelled X-, Y-, and Z- axesc)No frame of reference is required, a single point will do.d)frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labelled X-, and Y- axesCorrect answer is option 'B'. Can you explain this answer?.
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