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Thermal Properties of Matter

  1. A cylindrical rod having temperature T1 and T2 at its end. The rate of flow of heat is Q1 cal/sec. If all the linear dimensions are doubled keeping temperature constant, then the rate of flow of heat Q2 will be
    1. 4Q1
    2. 2Q1
    3. Q1/4
    4. Q1/2
Correct Option: B

Q =
KA(θ1 - θ2)t
l

Rate of heat flow
H =
Q
=
KA(θ1 - θ2)
i.e., H ∝
A
tll

Dimensions of area A = [L²], dimensions of distance l = [L]
∴ H ∝ L ⇒
H2
=
L2
= 2 ⇒ H2 = 2H1
H1L1



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