SATHEE: Properties Of Solids And Liquids Question 414

Properties Of Solids And Liquids Question 414

Question: Coefficient of linear expansion of brass and steel rods are $α_{1}$ and $α_{2}$ . Lengths of brass and steel rods are $ℓ_{1}$ and $ℓ_{2}$ respectively. If $(ℓ_{1} - ℓ_{2})$ is maintained same at all temperatures, which one of the following relations holds good?

Options:

A) $3 α_{1} ℓ_{2} = α_{2} ℓ_{1}$

B) $4 α_{1} ℓ_{2} = α_{2} ℓ_{1}$

C) $2 α_{1} ℓ_{2} = α_{2} ℓ_{1}$

D) $α_{1} ℓ_{1} = α_{2} ℓ_{2}$

Show Answer

Answer:

Correct Answer: D

Solution:

[d] From question, $(ℓ_{2} - ℓ_{1})$ is maintained same at all temperatures hence changed in length for both rods should be same i.e., $Δ ℓ_{1} = Δ ℓ_{2}$ .

As we know, coefficient of linear expansion $α = \frac{Δ ℓ}{ℓ_{0} Δ ℓ}$

$ℓ_{1} α_{1} Δ T = ℓ_{2} α_{2} Δ T \Rightarrow ℓ_{1} α_{1} = ℓ_{2} α_{2}$

Properties Of Solids And Liquids Question 414

Question: Coefficient of linear expansion of brass and steel rods are $α_{1}$ and $α_{2}$ . Lengths of brass and steel rods are $ℓ_{1}$ and $ℓ_{2}$ respectively. If $(ℓ_{1} - ℓ_{2})$ is maintained same at all temperatures, which one of the following relations holds good?

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Properties Of Solids And Liquids Question 414

Question: Coefficient of linear expansion of brass and steel rods are α1 and α2 . Lengths of brass and steel rods are ℓ1 and ℓ2 respectively. If (ℓ1−ℓ2) is maintained same at all temperatures, which one of the following relations holds good?

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

Question: Coefficient of linear expansion of brass and steel rods are $α_{1}$ and $α_{2}$ . Lengths of brass and steel rods are $ℓ_{1}$ and $ℓ_{2}$ respectively. If $(ℓ_{1} - ℓ_{2})$ is maintained same at all temperatures, which one of the following relations holds good?