MHT CET · Physics · Thermal Properties of Matter
A metal rod \(2 \mathrm{~m}\) long increases in length by \(1.6 \mathrm{~mm}\), when heated from \(0^{\circ} \mathrm{C}\) to \(60^{\circ} \mathrm{C}\). The coefficient of linear expansion of metal rod is
- A \(1.33 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
- B \(1.66 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
- C \(1.33 \times 10^{-3} /{ }^{\circ} \mathrm{C}\)
- D \(1.66 \times 10^{-3} /{ }^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(A) \(1.33 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
We know,
Coefficient of Linear expansion \(\alpha=\frac{\mathrm{L}_2-\mathrm{L}_1}{\mathrm{~L}_1 \Delta \mathrm{T}}... (i)\)
Given: \(\Delta \mathrm{T}=60-0=60^{\circ} \mathrm{C}\)
\(\mathrm{L}_1=2 \mathrm{~m}\) and \(\mathrm{L}_2=2.0016\)
Substituting the given values into (i),
\(\alpha=\frac{.0016}{120}=1.33 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
Coefficient of Linear expansion \(\alpha=\frac{\mathrm{L}_2-\mathrm{L}_1}{\mathrm{~L}_1 \Delta \mathrm{T}}... (i)\)
Given: \(\Delta \mathrm{T}=60-0=60^{\circ} \mathrm{C}\)
\(\mathrm{L}_1=2 \mathrm{~m}\) and \(\mathrm{L}_2=2.0016\)
Substituting the given values into (i),
\(\alpha=\frac{.0016}{120}=1.33 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A uniform metal wire has length ' \(L\) ', mass ' \(M\) ' and cross-sectional area ' \(A\) '. It is under tension ' \(T\) ' and ' \(V\) ' is the speed of transverse wave along the wire. The density of the wireMHT CET 2022 Medium
- Let '\sigma' and 'b' be Stefan's constant and Wien's constant respectively, then
dimensions of ' \(\sigma \mathrm{b}\) ' areMHT CET 2020 Medium - Four identical uniform solid spheres each of same mass ' \(M\) ' and radius ' \(R\) ' are placed touching each other as shown in figure, with centres \(A, B, C, D . I_A, I_B, I_C\) and \(I_D\) are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane. The difference in \(\mathrm{I}_{\mathrm{A}}\), and \(\mathrm{I}_{\mathrm{B}}\) is
MHT CET 2023 Hard - The electrostatic potential inside a charged spherical ball is given by \(V=a r^2+\mathrm{b}\) where ' r ' is the distance from its centre and ' \(a\) ' and ' \(b\) ' are constants. The volume charge density of the ball is \(\left[\varepsilon_0=\right.\) permittivity of free space]MHT CET 2024 Hard
- Which of the following graphs between pressure (P) and volume (V) correctly shows isochoric changes?
MHT CET 2023 Easy - In the experiment to determine the internal resistance of a cell (E1) using potentiometer, the resistance drawn from the resistance box is \({ }^{\prime} \mathrm{R}^{\prime}\). The potential difference across the balancing length of the wire is equal to the terminal potential difference (V) of the cell. The value of internal resistance (r) of the cell isMHT CET 2020 Easy
More PYQs from MHT CET
- If ' \(N\) ' is the number of turns in a circular coil, the value of its self-inductance varies asMHT CET 2022 Easy
- A particle moves around a circular path of radius ' \(r\) ' with uniform speed ' \(V\) '. After moving half the circle, the average acceleration of the particle isMHT CET 2023 Medium
- The principal solutions of the equation \(\sqrt{3} \operatorname{cosec} X+2=0\) areMHT CET 2022 Easy
- Following are the functions of cerebrospinal fluid EXCEPT ___________ .MHT CET 2021 Hard
- If \(\frac{\sin (A+B)}{\sin (A-B)}=\frac{\cos (C+D)}{\cos (C-D)}\), then \(\tan A \cot B=\)MHT CET 2020 Medium
- For a perfectly elastic collision, the coefficient of restitution e isMHT CET 2020 Easy