A solid metallic cube having total surface area 24 m2 is uniformly heated. if its temperature is increased by 100C, calculate the increase in volume of the cube.

(Given a = 5.0 × 10-4 0C-1).

Option 1 -

2.4 * 106 cm3

Option 2 -

1.2 * 105 cm3

Option 3 -

1.2 * 105 cm3

Option 4 -

4.8 * 105 cm3

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • R

    Answered by

    Raj Pandey | Contributor-Level 9

    a month ago
    Correct Option - 2


    Detailed Solution:

    Given

    6a2 = 24

    a2 = 4

    a = 2m

    Δ v = v ( γ ) Δ T

    = 3 α v Δ T

    = 3 × 5 × 1 0 4 × ( a 3 ) × 1 0

    = 3 × 5 × 1 0 4 × 8 × 1 0

    = 1 2 0 × 1 0 3 = 1 . 2 × 1 0 5 c m 3

     

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A
alok kumar singh

According to question, we can write

d = d 0 ( 1 + α Δ T ) 6 . 2 4 1 = 6 . 2 3 0 ( 1 + 1 . 4 × 1 0 5 × Δ T )

T = 1 2 6 . 1 8 + 2 7 = 1 5 3 . 1 8 ° C

R
Raj Pandey

Heat Released by block = Heat gain by large Ice block

m c Δ T = M i c e L

5 × 0.39 × 500 = mice × 335

m i c e = 5 × 0 . 3 9 × 5 0 0 3 3 5

= 2.91 kg

P
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