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JEE Main 2020 (2 Sep, Shift 2) · Thermometry & Thermal Expansion

Thermometry & Thermal Expansion question from JEE Main 2020 (2 Sep, Shift 2)

Q56JEE Main 2020 · 2 SEP · SHIFT 2Medium

Thermometry & Thermal Expansion

When the temperature of a metal wire is increased from 0oC to 10oC, its length increases by 0.02%. The percentage change in its mass density will be closest to:

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Answer: (b)

  1. Linear strain =0.02%= 0.02\%, so volume increases by 3×0.02=0.06%3 \times 0.02 = 0.06\%.
  2. Mass is constant, so ρ∝1/V\rho \propto 1/V: density falls by about 0.06%0.06\%.
  3. So the answer is (b) 0.06.
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