When the temperature of a metal wire is increased from 0 º C   to   10 º C , its length…

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 closed to:

  1. 0.06
  2. 2.3
  3. 0.008
  4. 0.8

Solution

Δ=αΔt
α=ΔΔT=0.02100×10;  α=2×10-5
γ=3α=6×10-5
ΔVV=γ×ΔT;  ΔVV×100=6×10-5×10×100=6×10-2
Volume increase by 0.06% therefore density decrease by 0.06%

Asked in: JEE Main 2020 (02 Sep Shift 2)

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