Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20202 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
2 September
Shift
Evening Shift
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2020 · 2 September · Evening Shift · Physics · Thermal Properties of Matter

When the temperature of a metal wire is increased from 0 º Cto10 º...

When the temperature of a metal wire is increased from 0ºCto10ºC0 º Cto10 º C, its length increases by 0.020 . 02 %.The percentage change in its mass density will be closed to:

Options

  1. A0.060 . 06
  2. B2.32 . 3
  3. C0.0080 . 008
  4. D0.80 . 8

Correct answer

A. 0.060 . 06

Step-by-step solution

Δℓ=ℓα\Deltat\Deltaℓ = ℓ\alpha\Deltat
α=Δℓℓ\DeltaT=0.02100×10;α=2×10−5\alpha = \dfrac{\Deltaℓ}{ℓ\DeltaT} = \dfrac{0 . 02}{100 \times 10}; \alpha = 2 \times {10}^{- 5}
γ=3α=6×10−5\gamma = 3\alpha = 6 \times {10}^{- 5}
\DeltaVV=γ×\DeltaT;\DeltaVV×100=(6×10−5×10×100)=6×10−2\dfrac{\DeltaV}{V} = \gamma \times \DeltaT; \dfrac{\DeltaV}{V} \times 100 = \left(6 \times {10}^{- 5} \times 10 \times 100\right) = 6 \times {10}^{- 2}
Volume increase by 0.060 . 06 % therefore density decrease by 0.060 . 06 %
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 JEE Main PYQs