A wooden rectangular block of length l is made to float in water with its axis vertical. The centre of gravity of the floating body is 0.15 above the centre of buoyancy. Then the specific gravity of the wooden block will be _______.
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Solution
Specific gravity of wooden block =0.7
For an air-conditioning system, the outdoor and indoor dry bulb temperature are 45°C and 25°C respectively. The space to be air conditioned is 20 m × 30 m × 5 m and infiltration is estimated to be one air change. If the density and specific heat of air are 1.2 kg/m3 and 1.02 kj/k°C, then the sensible heat load due to infiltration is _________.
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Solution
Heat is conducted through a 10 cm thick wall at a rate of 30w/m2 when the temperature difference across the wall is 10°C.The thermal conductivity of the wall be ________.
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Solution
Consider the phase diagram of a certain substance as shown in figure, Match List I with List II
List I List II
A.Vaporization 1.FE
B.Fusion 2.EG
C.Sublimation 3.ED
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Solution
Vaporization = ED
Fusion = EG
Sublimation= EF
In a new temperature scale i.e. °P, the boiling and freezing points of water atone atmosphere are 100°P and 300° P respectively. Correlate this scale with the centigrade scale,the reading of 0°P on the centigrade scale will be ________.
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Solution
The function f(z) =u +iv, where
\(f(z)=\frac{x^{3}(i+1)-y^{3}(1-i)}{x^{2}+y^{2}}\),z≠0 and f(0) = 0 is(i)continuous
(ii)satisfies Cauchy-Riemann equations
(iii)f'(0) exist
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Solution
Find the inverse Laplace transform of \(F(s)=log\frac{s+a}{s+b}\) is
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Solution
A man alternately tosses a coin and throws a dice, beginning with the coin.Then the probability that he will get a head before he gets a 5 or 6 on dice is ________.
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Solution
The value of y as t → ∞ for an initial value of y(1) =0, for the differential equation.
(4t2+1)dy⁄dt+8yt-t=0 is ________.
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Solution
The value of λ for which the equations
2x + y+ 2z = 0
x + y + 3z = 0
4x +3y + λz = 0
have a non-zero solution is ______.
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Solution