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Which two of the following five physical parameters have the same dimensions?
(A) Energy density [2008]
(B) Refractive index
(C) Dielectric constant
(D) Young’s modulus
(E) Magnetic field
(A) Energy density [2008]
(B) Refractive index
(C) Dielectric constant
(D) Young’s modulus
(E) Magnetic field
- a)(B) and (D)
- b)(C) and (E)
- c)(A) and (D)
- d)(A) and (E)
Correct answer is option 'C'. Can you explain this answer?
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Understanding Physical Parameters
In this problem, we need to identify which two physical parameters have the same dimensions. Let's break down each option:
Energy Density
- Energy density is defined as energy per unit volume.
- Its dimensions can be expressed as [Energy]/[Volume].
- Energy has dimensions of ML²T⁻², and volume has dimensions of L³.
- Thus, the dimensions of energy density are ML⁻¹T⁻².
Refractive Index
- The refractive index is a dimensionless quantity.
- It is the ratio of the speed of light in vacuum to the speed of light in a medium.
- Therefore, it has no dimensions.
Dielectric Constant
- The dielectric constant is also dimensionless.
- It represents the ability of a medium to store electrical energy in an electric field.
- Like the refractive index, it has no dimensions.
Young's Modulus
- Young's modulus is a measure of the stiffness of a material.
- It is defined as stress/strain.
- Stress has dimensions of ML⁻¹T⁻² and strain is dimensionless.
- Thus, the dimensions of Young's modulus are also ML⁻¹T⁻².
Magnetic Field
- The magnetic field (B) has dimensions of force per unit charge per unit velocity.
- Its dimensions can be expressed as [MLT⁻²]/[Q][L/T] = MLT⁻²Q⁻¹.
Conclusion
From the analysis, we find:
- Energy density and Young's modulus both share the dimensions of ML⁻¹T⁻².
- Options (B) and (C) are dimensionless, while (E) has different dimensions.
Thus, the correct answer is option C: (A) and (D), as they both have the same dimensions.
In this problem, we need to identify which two physical parameters have the same dimensions. Let's break down each option:
Energy Density
- Energy density is defined as energy per unit volume.
- Its dimensions can be expressed as [Energy]/[Volume].
- Energy has dimensions of ML²T⁻², and volume has dimensions of L³.
- Thus, the dimensions of energy density are ML⁻¹T⁻².
Refractive Index
- The refractive index is a dimensionless quantity.
- It is the ratio of the speed of light in vacuum to the speed of light in a medium.
- Therefore, it has no dimensions.
Dielectric Constant
- The dielectric constant is also dimensionless.
- It represents the ability of a medium to store electrical energy in an electric field.
- Like the refractive index, it has no dimensions.
Young's Modulus
- Young's modulus is a measure of the stiffness of a material.
- It is defined as stress/strain.
- Stress has dimensions of ML⁻¹T⁻² and strain is dimensionless.
- Thus, the dimensions of Young's modulus are also ML⁻¹T⁻².
Magnetic Field
- The magnetic field (B) has dimensions of force per unit charge per unit velocity.
- Its dimensions can be expressed as [MLT⁻²]/[Q][L/T] = MLT⁻²Q⁻¹.
Conclusion
From the analysis, we find:
- Energy density and Young's modulus both share the dimensions of ML⁻¹T⁻².
- Options (B) and (C) are dimensionless, while (E) has different dimensions.
Thus, the correct answer is option C: (A) and (D), as they both have the same dimensions.
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Which two of the following five physical parameters have the same dimensions?(A) Energy density [2008](B) Refractive index(C) Dielectric constant(D) Young’s modulus(E) Magnetic fielda)(B) and (D)b)(C) and (E)c)(A) and (D)d)(A) and (E)Correct answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which two of the following five physical parameters have the same dimensions?(A) Energy density [2008](B) Refractive index(C) Dielectric constant(D) Young’s modulus(E) Magnetic fielda)(B) and (D)b)(C) and (E)c)(A) and (D)d)(A) and (E)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which two of the following five physical parameters have the same dimensions?(A) Energy density [2008](B) Refractive index(C) Dielectric constant(D) Young’s modulus(E) Magnetic fielda)(B) and (D)b)(C) and (E)c)(A) and (D)d)(A) and (E)Correct answer is option 'C'. Can you explain this answer?.
Which two of the following five physical parameters have the same dimensions?(A) Energy density [2008](B) Refractive index(C) Dielectric constant(D) Young’s modulus(E) Magnetic fielda)(B) and (D)b)(C) and (E)c)(A) and (D)d)(A) and (E)Correct answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which two of the following five physical parameters have the same dimensions?(A) Energy density [2008](B) Refractive index(C) Dielectric constant(D) Young’s modulus(E) Magnetic fielda)(B) and (D)b)(C) and (E)c)(A) and (D)d)(A) and (E)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which two of the following five physical parameters have the same dimensions?(A) Energy density [2008](B) Refractive index(C) Dielectric constant(D) Young’s modulus(E) Magnetic fielda)(B) and (D)b)(C) and (E)c)(A) and (D)d)(A) and (E)Correct answer is option 'C'. Can you explain this answer?.
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