A brass cube of side 10cm is heated through 30°C. If ...
A brass cube of side 10cm is heated through 30°C. If the linear expansivity of brass is 2.0 × I0−5 K-1 , what is the increase in its volume?
0.06 cm3
0.18cm3
0.60cm3
1.20cm3
1.80cm3
Correct answer is E
cubic expansivity and γ = 3α. → 3 * 2.0 × I0−5
cubic expansivity = 6.0 × I0−5 , Ø = 30°C,
Volume(v1) = L3 = 103 → 1000
V2 = V1(1 + γθ)
→ V2 = 1000[1 + 6.0 × I0−5 * 30]
= 1000[1 + 0.0018]
= 1000 * 1.0018 → 1,001.8
increase in volume = 1,001.8 - 1000
→ 1.8cm3