Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20179 AprilOnline
Exam
JEE Main
Year
2017
Date
9 April
Mode
Online
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2017 · 9 April · Online · Physics · Thermal Properties of Matter

A steel rail of length 5m and area of cross section 40 cm ^ 2 is...

A steel rail of length 5m5m and area of cross section 40cm240{cm}^{2} is prevented from expanding along its length while the temperature rises by 10°C10 ° C . If coefficient of linear expansion and Young's modulus of steel are 1.2×10−5K−11.2 \times {10}^{- 5}{K}^{- 1} and 2×1011Nm−22 \times {10}^{11}N{m}^{- 2} respectively, the force developed in the rail is approximately:

Options

  1. A2×107N2 \times {10}^{7}N
  2. B2×109N2 \times {10}^{9}N
  3. C3×10−5N3 \times {10}^{- 5}N
  4. D1×105N1 \times {10}^{5}N

Correct answer

D. 1×105N1 \times {10}^{5}N

Step-by-step solution

F=YAα\DeltatF = YA\alpha\Deltat

⇒F=2×1011×40×10−4×1.2×10−5×10⇒ F = 2 \times {10}^{11} \times 40 \times {10}^{- 4} \times 1.2 \times {10}^{- 5} \times 10

⇒F=9.6×104≈1×105N⇒ F = 9.6 \times {10}^{4} \approx 1 \times {10}^{5}N.
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