# Consider 1-D, steady, inviscid, compressible flow through a convergent nozzle. The total temperature and total pressure are $\mathrm{T}_{0}, \mathrm{P}_{0}$ respectively. The flow through the nozzle is choked with a mass flow rate of $\mathrm{m}_{0} .$ If the total temperature is increased to $4 \mathrm{~T}_{0}$, with total pressure remaining unchanged, then the mass flow rate through the nozzle (A) remains unchanged. (B) becomes half of $\mathrm{m}_{0}$. (C) becomes twice of $\mathrm{m}_{0}$ (D) becomes four times of $\mathrm{m}_{0}$

## Question ID - 155659 :- Consider 1-D, steady, inviscid, compressible flow through a convergent nozzle. The total temperature and total pressure are $\mathrm{T}_{0}, \mathrm{P}_{0}$ respectively. The flow through the nozzle is choked with a mass flow rate of $\mathrm{m}_{0} .$ If the total temperature is increased to $4 \mathrm{~T}_{0}$, with total pressure remaining unchanged, then the mass flow rate through the nozzle (A) remains unchanged. (B) becomes half of $\mathrm{m}_{0}$. (C) becomes twice of $\mathrm{m}_{0}$ (D) becomes four times of $\mathrm{m}_{0}$

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(B) becomes half of $\mathrm{m}_{0}$.

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Consider a second order linear ordinary differential equation $\frac{d^{2} y}{d x^{2}}-4 \frac{d y}{d x}+4 y=0,$ with the boundary conditions $\mathrm{y}(0)=1 ;\left.\frac{\mathrm{dy}}{\mathrm{dx}}\right|_{\mathrm{x}-0}=1 .$ The value of $\mathrm{y}$ at $\mathrm{x}=1$ is
(A) 0
(B) 1
(C) e
(D) $\mathrm{e}^{2}$ 