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A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3?
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A uniform metal rod of 2mm^2 cross section is heated from 0degree Cels...
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A uniform metal rod of 2mm^2 cross section is heated from 0degree Cels...
Given data:
Cross-sectional area of the rod (A) = 2 mm^2 = 2 × 10^(-6) m^2
Change in temperature (ΔT) = 20°C
Coefficient of linear expansion (α) = 12 × 10^(-6) per °C
Young's modulus (Y) = 10^11 Nm^(-2)
1. Determining the change in length:
The change in length (ΔL) of the rod can be calculated using the formula:
ΔL = α × L0 × ΔT
where L0 is the original length of the rod.
2. Determining the original length:
Since the original length (L0) is not given, we need additional information to determine it. Without this information, we cannot proceed to calculate the energy stored per unit volume.
3. Calculating the energy stored per unit volume:
The energy stored per unit volume (U) can be determined using the formula:
U = 0.5 × Y × (ΔL/L0)^2
where ΔL is the change in length and L0 is the original length of the rod.
Conclusion:
To calculate the energy stored per unit volume of the rod, we need the original length of the rod. Without this information, we cannot determine the correct answer. Therefore, the correct answer cannot be determined from the given information.
Cross-sectional area of the rod (A) = 2 mm^2 = 2 × 10^(-6) m^2
Change in temperature (ΔT) = 20°C
Coefficient of linear expansion (α) = 12 × 10^(-6) per °C
Young's modulus (Y) = 10^11 Nm^(-2)
1. Determining the change in length:
The change in length (ΔL) of the rod can be calculated using the formula:
ΔL = α × L0 × ΔT
where L0 is the original length of the rod.
2. Determining the original length:
Since the original length (L0) is not given, we need additional information to determine it. Without this information, we cannot proceed to calculate the energy stored per unit volume.
3. Calculating the energy stored per unit volume:
The energy stored per unit volume (U) can be determined using the formula:
U = 0.5 × Y × (ΔL/L0)^2
where ΔL is the change in length and L0 is the original length of the rod.
Conclusion:
To calculate the energy stored per unit volume of the rod, we need the original length of the rod. Without this information, we cannot determine the correct answer. Therefore, the correct answer cannot be determined from the given information.
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A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3?
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A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3?.
A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform metal rod of 2mm^2 cross section is heated from 0degree Celsius to 20 degree Celsius. The coefficient of the linear expansion of rod is 12 x 10^-6 per degree Celsius. It's Young's modulus of elasticity is 10^11 Nm-2. The energy stored per unit volume of the rod is A) 1440 Jm^-3 B) 15750 Jm-3 C) 1500 Jm-3 D) 2880 Jm-3?.
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