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A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.?
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A steel scale is correct at 0 centigrade. The length of a brass tube m...
**Solution:**
Given:
- The steel scale is correct at 0°C.
- The length of the brass tube measured at 40°C is 4.5m.
- The coefficient of linear expansion for steel is 11×10^-6 per °C.
- The coefficient of linear expansion for brass is 19×10^-6 per °C.
We need to find the correct length of the tube at 0°C.
**Step 1: Calculate the expansion of the steel scale**
As the steel scale is correct at 0°C, it means that it does not expand or contract at this temperature. Therefore, the expansion of the steel scale is zero.
**Step 2: Calculate the expansion of the brass tube**
The expansion of the brass tube can be calculated using the formula:
ΔL = α * L * ΔT
Where:
ΔL is the change in length of the tube
α is the coefficient of linear expansion
L is the initial length of the tube
ΔT is the change in temperature
Given:
α (brass) = 19×10^-6 per °C
L (brass) = 4.5m
ΔT = 40°C - 0°C = 40°C
Substituting the values into the formula, we get:
ΔL = (19×10^-6 per °C) * (4.5m) * (40°C)
ΔL = 0.0072m
Therefore, the expansion of the brass tube is 0.0072m.
**Step 3: Calculate the correct length of the tube at 0°C**
To find the correct length of the tube at 0°C, we need to subtract the expansion of the brass tube from the measured length at 40°C.
Correct length = Measured length - Expansion of brass tube
Correct length = 4.5m - 0.0072m
Correct length = 4.4928m
Therefore, the correct length of the brass tube at 0°C is 4.4928m.
Given:
- The steel scale is correct at 0°C.
- The length of the brass tube measured at 40°C is 4.5m.
- The coefficient of linear expansion for steel is 11×10^-6 per °C.
- The coefficient of linear expansion for brass is 19×10^-6 per °C.
We need to find the correct length of the tube at 0°C.
**Step 1: Calculate the expansion of the steel scale**
As the steel scale is correct at 0°C, it means that it does not expand or contract at this temperature. Therefore, the expansion of the steel scale is zero.
**Step 2: Calculate the expansion of the brass tube**
The expansion of the brass tube can be calculated using the formula:
ΔL = α * L * ΔT
Where:
ΔL is the change in length of the tube
α is the coefficient of linear expansion
L is the initial length of the tube
ΔT is the change in temperature
Given:
α (brass) = 19×10^-6 per °C
L (brass) = 4.5m
ΔT = 40°C - 0°C = 40°C
Substituting the values into the formula, we get:
ΔL = (19×10^-6 per °C) * (4.5m) * (40°C)
ΔL = 0.0072m
Therefore, the expansion of the brass tube is 0.0072m.
**Step 3: Calculate the correct length of the tube at 0°C**
To find the correct length of the tube at 0°C, we need to subtract the expansion of the brass tube from the measured length at 40°C.
Correct length = Measured length - Expansion of brass tube
Correct length = 4.5m - 0.0072m
Correct length = 4.4928m
Therefore, the correct length of the brass tube at 0°C is 4.4928m.
Community Answer
A steel scale is correct at 0 centigrade. The length of a brass tube m...
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A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.?
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A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.?.
A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.?.
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A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.?, a detailed solution for A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.? has been provided alongside types of A steel scale is correct at 0 centigrade. The length of a brass tube measured by it at 40 centigrade is 4.5m. The correct length of the tube at 0 centigrade is ?. Coefficient of linear expansion of steel and brass are 11×10^-6 and 19×10^-6. Respectively.? theory, EduRev gives you an
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