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a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)?
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?a beaker of height h is made up of a material whose coefficient of li...
For the liquid
let the new volume be V'
let the new volume be V'
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?a beaker of height h is made up of a material whose coefficient of li...
Explanation:
When the beaker and its contents are heated, both the beaker and the liquid expand due to the increase in temperature. The expansion of the beaker can be determined by its coefficient of linear thermal expansion, denoted as 3a, while the expansion of the liquid is determined by its own coefficient of thermal expansion, denoted as a.
Expansion of the beaker:
The beaker has a coefficient of linear thermal expansion of 3a. This means that for every unit increase in temperature, the beaker expands by 3a units. The expansion of the beaker can be calculated using the formula:
ΔL = αLΔT
Where:
ΔL is the change in length or height of the beaker
α is the coefficient of linear thermal expansion
L is the original length or height of the beaker
ΔT is the change in temperature
In this case, the beaker is heated uniformly, so the change in length will be proportional to the original length of the beaker. Let's assume the original height of the beaker is h.
ΔL = 3a * h * T
Expansion of the liquid:
The liquid has a coefficient of thermal expansion of a. This means that for every unit increase in temperature, the liquid expands by a units. The expansion of the liquid can also be calculated using the same formula as above:
ΔL = αLΔT
Where:
ΔL is the change in length or height of the liquid (in this case, the level of the liquid in the beaker)
α is the coefficient of thermal expansion (a in this case)
L is the original length or height of the liquid (the original level of the liquid in the beaker)
ΔT is the change in temperature (T in this case)
Let's assume the original level of the liquid in the beaker is also h (since it is filled up to the brim).
ΔL = a * h * T
Reduction in the level of the liquid:
To find the reduction in the level of the liquid, we need to subtract the expansion of the beaker from the expansion of the liquid:
Reduction in level = Expansion of liquid - Expansion of beaker
= (a * h * T) - (3a * h * T)
= a * h * T - 3a * h * T
= -2a * h * T
Therefore, the level of the liquid will reduce by -2a * h * T. The negative sign indicates a decrease in the level of the liquid.
When the beaker and its contents are heated, both the beaker and the liquid expand due to the increase in temperature. The expansion of the beaker can be determined by its coefficient of linear thermal expansion, denoted as 3a, while the expansion of the liquid is determined by its own coefficient of thermal expansion, denoted as a.
Expansion of the beaker:
The beaker has a coefficient of linear thermal expansion of 3a. This means that for every unit increase in temperature, the beaker expands by 3a units. The expansion of the beaker can be calculated using the formula:
ΔL = αLΔT
Where:
ΔL is the change in length or height of the beaker
α is the coefficient of linear thermal expansion
L is the original length or height of the beaker
ΔT is the change in temperature
In this case, the beaker is heated uniformly, so the change in length will be proportional to the original length of the beaker. Let's assume the original height of the beaker is h.
ΔL = 3a * h * T
Expansion of the liquid:
The liquid has a coefficient of thermal expansion of a. This means that for every unit increase in temperature, the liquid expands by a units. The expansion of the liquid can also be calculated using the same formula as above:
ΔL = αLΔT
Where:
ΔL is the change in length or height of the liquid (in this case, the level of the liquid in the beaker)
α is the coefficient of thermal expansion (a in this case)
L is the original length or height of the liquid (the original level of the liquid in the beaker)
ΔT is the change in temperature (T in this case)
Let's assume the original level of the liquid in the beaker is also h (since it is filled up to the brim).
ΔL = a * h * T
Reduction in the level of the liquid:
To find the reduction in the level of the liquid, we need to subtract the expansion of the beaker from the expansion of the liquid:
Reduction in level = Expansion of liquid - Expansion of beaker
= (a * h * T) - (3a * h * T)
= a * h * T - 3a * h * T
= -2a * h * T
Therefore, the level of the liquid will reduce by -2a * h * T. The negative sign indicates a decrease in the level of the liquid.
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?a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)?
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?a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about ?a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)?.
?a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about ?a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a beaker of height h is made up of a material whose coefficient of linear thermal expansion is 3a. It is filled up to the brim by a liquid whose coefficient of thermal expansion is a. If now the beaker along with its contents is uniformly heated through a small temperature T the level of liquid will reduce by(NOTE : a denotes alpha)?.
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