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QJEEM22Ph6a81: JEE Main 2022 Physics - Class 11 JEEM22Ph6a81 Solution: A solid metallic cube having total surface area 24 m 2 is…

A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10∘C, calculate the increase in volume of the cube. (Given α = 5.0 × 10−4 ∘C−1).

Multiple Choice Options

  • A 2.4 × 106 cm3
  • B 1.2 × 105 cm3
  • C 6.0 × 104 cm3
  • D 4.8 × 105 cm3

Step-by-Step Verified Solution

6×l2=24

⇒l=2 m

∴ ΔVV=3×Δll

⇒ΔV=3×(αΔT)×V

=3×5×10−4×10×(8)

=120×10−3 m3

=120×10−3×106 cm3

=1.2×105 cm3

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