Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Thermal Properties of Matter

NTA Abhyas 2020 · Physics · Thermal Properties of Matter

A metal rod having linear expansion coefficient 2 × 10 ^ - 5 ° C^ -...

A metal rod having linear expansion coefficient 2×10−5°C−12 \times {10}^{- 5} ° C^{- 1} has a length of 1m1m at 20°C20 ° C. The temperature at which it is shortened by 11 mm is

Options

  1. A−20°C- 20 ° C
  2. B−15°C- 15 ° C
  3. C−30°C- 30 ° C
  4. D−25°C- 25 ° C

Correct answer

C. −30°C- 30 ° C

Step-by-step solution

From, l2=l1[1+α(t2−t1)]<br/><br/>{l}_{2} = {l}_{1} \left[1 + \alpha\left({t}_{2} - {t}_{1}\right)\right]<br /><br />{t}_{2} = {t}_{1} + l2−l1l1α<br/><br/>=20+−10−31.0×2×10−5=−30°C\dfrac{{l}_{2} - {l}_{1}}{{l}_{1}\alpha}<br /><br />= 20 + \dfrac{- {10}^{- 3}}{1 .0 \times 2 \times {10}^{- 5}} = -30 ° C
Practice Thermal Properties of Matter on Quantrex Academy →

More from Thermal Properties of Matter

As shown in the figure, an insulated container is fitted with a thermally conducting but… JEE Advanced 2026The heat extracted out of x gram of water initially at 50°C to cool it down to 0°C is… JEE Main 2026The temperature of a metal strip having coefficient of linear expansion α is increased… JEE Main 2026Which of the following best represents the temperature versus heat supplied graph for… JEE Main 202610 kg of ice at -10^ ∘ C is added to 100 kg of water to lower its temperature from 25 ^ ∘… JEE Main 2026A brass wire of length 2 m and radius 1 mm at 27^ ∘ C is held taut between two rigid… JEE Main 2026Rods x and y of equal dimensions but of different materials are joined as shown in… JEE Main 2026An aluminium and steel rods having same lengths and cross-sections are joined to make… JEE Main 2026 Full Thermal Properties of Matter list All NTA Abhyas JEE Main PYQs