Class 12 Exam  >  Class 12 Questions  >  An iron scale is calibrated at 0 degree celsi... Start Learning for Free
An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius?
Most Upvoted Answer
An iron scale is calibrated at 0 degree celsius the length of zinc rod...
Given:
- Iron scale is calibrated at 0 degree Celsius.
- Length of zinc rod measured at 0 degree Celsius is 100 cm.

To find:
- Length of the rod as measured by the scale at 100 degree Celsius.

Formula:
The change in length of a material with temperature is given by the formula:
ΔL = L₀ * α * ΔT
where:
ΔL = Change in length
L₀ = Initial length
α = Coefficient of linear expansion
ΔT = Change in temperature

Calculations:
- The initial length of the zinc rod is 100 cm.
- The coefficient of linear expansion for iron (α) is given as 1.2 * 10^-5 / degree Celsius.
- The coefficient of linear expansion for zinc (α) is given as 2.6 * 10^-5 / degree Celsius.
- The change in temperature (ΔT) is 100 degrees Celsius.

Length of the rod at 100 degree Celsius:
- To calculate the length of the rod at 100 degree Celsius, we need to consider the expansion of both the rod and the scale.
- The change in length of the rod (ΔLrod) can be calculated using the formula:
ΔLrod = L₀rod * αzinc * ΔT

- The change in length of the scale (ΔLscale) can be calculated using the formula:
ΔLscale = L₀scale * αiron * ΔT

- The total change in length (ΔLtotal) is the sum of the changes in length of the rod and the scale:
ΔLtotal = ΔLrod + ΔLscale

- The final length of the rod (Lfinal) is the initial length of the rod plus the total change in length:
Lfinal = L₀rod + ΔLtotal

Substituting the values:
- L₀rod = 100 cm
- αzinc = 2.6 * 10^-5 / degree Celsius
- αiron = 1.2 * 10^-5 / degree Celsius
- ΔT = 100 degrees Celsius

Calculating ΔLrod:
ΔLrod = L₀rod * αzinc * ΔT
ΔLrod = 100 cm * 2.6 * 10^-5 / degree Celsius * 100 degrees Celsius
ΔLrod = 0.26 cm

Calculating ΔLscale:
ΔL
Explore Courses for Class 12 exam
An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius?
Question Description
An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius?.
Solutions for An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius? defined & explained in the simplest way possible. Besides giving the explanation of An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius?, a detailed solution for An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius? has been provided alongside types of An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius? theory, EduRev gives you an ample number of questions to practice An iron scale is calibrated at 0 degree celsius the length of zinc rod is measured to be 100 cm by the scale when the rod and the scale both are at 0 degree celsius what will be the length of the rod as measured by the scale when both are at 100 degree celsius alpha = 1.2*10^-5 / degree celsius alpha of zinc = 2.6 * 10 ^-5 /degree celsius? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev