For \(\frac{dy}{dx}\) = xy given that y = 1 at x =0, using Euler method taking the step size 0.1, they at x =0.4 up to 4 decimal place is
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Solution
Consider the Assertion (A) and Reason (R) given below Assertion (A): The curve y = ax3 and 2+ 3y2 = c2 for orthogonal trajectories.Reason (R) : The differentiable equation of the secondcurve is obtained from the differentiable equation of first by replacement of \(\frac{dy}{dx}\) by –\(\frac{dx}{dy}\)
The correction answer is
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Solution
The value of the integral \(\int_{0}^{100 \pi }\) |sin x|dx is equal to ________.
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Solution
The sum of the eigen values of the given matrix A is________.
\(A=\begin{bmatrix} 8\, 2\, 3 & & \\ 4\, 5\, 9 & & \\ 2\, 0\, 5 & & \end{bmatrix}\)-
Solution
Sum of eigen values (λ1+ λ2+ λ3) = trace of matrix (sum of diagonal element)sum of eigen values = 8+ 5+ 5= 18
Let f(x) =ex in[0, 1].Then, the value of c of the mean-value theorem is
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Solution
Masses A1, A2 and 8 kg are attached to as haft in parallel planes as show in figure. If the shaft is rotating at 100 rpm,the mass A2 will be ________.
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Consider the following conditions for heat transfer:where,δt = thermal boundary layer thickness
δ= boundary layer velocity
Pt= Prandtl number
1.δt(x) = δ(x) if Pr = 1
2.δt(x) >> δ(x) if Pr <<1 3.δt(x) << δ(x) if Pr >>1
Which of these conditions apply for convective heat transfer?
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Solution
The inlet and exist velocity diagrams of a turbomachine rotor are shown below.
then, the turbomachine is:
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Solution
Radial compressors are dynamic turbomachines with axisymmetric work absorbing capacity.Turbo machines are also defined as a radial compressor or centrifugal compressors with forward curved blades.
The pressure difference of two gases in two vessels is being measured by a vertical U-tube manometer. The reading is taken as 10 cm. Then the pressure difference between the gases will be ________.
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Solution
A journal bearing supports a shaft which is rotating at a speed of 2000 rpm. Clearance to radius ratio,bearing pressure and viscosity of lubricant are 1/130, 2.7 mPa and 40 × 10–4 Pas respectively. Then the sommerfeld number will be________.
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