NEET Exam > NEET Questions > Plane angle and solid angle havea)Units but ...
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Plane angle and solid angle have
- a)Units but no dimensions
- b)Dimensions but no units
- c)No units and no dimensions
- d)Both units and dimensions
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Plane angle and solid angle havea)Units but no dimensionsb)Dimensions...
Explanation:
Units and dimensions: In physics, every physical quantity has a unit and a dimension. The unit of a physical quantity is a standard quantity used to measure the physical quantity. For example, the unit of length is meter (m), and the unit of time is second (s). The dimension of a physical quantity is a kind of measurement that represents the physical nature of the quantity. For example, the dimension of length is [L], and the dimension of time is [T].
Plane angle: A plane angle is the angle between two planes that intersect each other. The unit of plane angle is degree (°) or radian (rad), and the dimension of plane angle is [1]. The dimension of plane angle is dimensionless because it is the ratio of two lengths.
Solid angle: A solid angle is the angle that an object subtends at a point. The unit of solid angle is steradian (sr), and the dimension of solid angle is [1]. The dimension of solid angle is also dimensionless because it is the ratio of two areas.
Units but no dimensions: Both plane angle and solid angle have units but no dimensions because they are dimensionless quantities. They are ratios of two lengths or two areas, respectively, and do not have any physical nature that can be represented by a dimension. Therefore, the answer is option 'A'.
Units and dimensions: In physics, every physical quantity has a unit and a dimension. The unit of a physical quantity is a standard quantity used to measure the physical quantity. For example, the unit of length is meter (m), and the unit of time is second (s). The dimension of a physical quantity is a kind of measurement that represents the physical nature of the quantity. For example, the dimension of length is [L], and the dimension of time is [T].
Plane angle: A plane angle is the angle between two planes that intersect each other. The unit of plane angle is degree (°) or radian (rad), and the dimension of plane angle is [1]. The dimension of plane angle is dimensionless because it is the ratio of two lengths.
Solid angle: A solid angle is the angle that an object subtends at a point. The unit of solid angle is steradian (sr), and the dimension of solid angle is [1]. The dimension of solid angle is also dimensionless because it is the ratio of two areas.
Units but no dimensions: Both plane angle and solid angle have units but no dimensions because they are dimensionless quantities. They are ratios of two lengths or two areas, respectively, and do not have any physical nature that can be represented by a dimension. Therefore, the answer is option 'A'.
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Community Answer
Plane angle and solid angle havea)Units but no dimensionsb)Dimensions...
Explanation:
Units of Plane Angle:
Units of Solid Angle:
Units and Dimensions:
Conclusion:
Plane angle and solid angle are both used to measure the extent or measure of an angle. These angles do not have any physical dimensions as they are not physical quantities that can be measured in terms of length, mass, or time. Instead, they are measured in terms of the number of degrees, radians, or steradians they occupy.
Units of Plane Angle:
- Plane angle is the angle between two intersecting lines in a plane.
- The SI unit of plane angle is the radian (rad).
- The other unit is the degree (°), which is defined as 1/360th of a full rotation.
Units of Solid Angle:
- Solid angle is the angle that an object subtends at a point in three-dimensional space.
- The SI unit of solid angle is the steradian (sr).
Units and Dimensions:
Units are the measures used to express the magnitude of a physical quantity, while dimensions are the fundamental physical quantities that make up a physical quantity. Plane angle and solid angle do not have physical dimensions, but they have units to express their magnitudes.
Conclusion:
Therefore, plane angle and solid angle have units but no dimensions, making option A the correct answer.
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Plane angle and solid angle havea)Units but no dimensionsb)Dimensions but no unitsc)No units and no dimensionsd)Both units and dimensionsCorrect answer is option 'A'. Can you explain this answer?
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