MHT CET 2020 16th October Evening Shift | Differential Equations Question 136 | Mathematics

The rate at which the metal cools in moving air is proportional to the difference of temperatures between the metal and air. If the air temperature is 290 K and the metal temperature drops from 370 K to 330 K in 10 min , then the time required to drop the temperature upto 295 K is

30 min

35 min

20 min

40 min

MHT CET 2020 16th October Evening Shift

MCQ (Single Correct Answer)

-0

The micro-organisms double themselves in 3 h. Assuming that the quantity increases at a rate proportional to it self, then the number of times it multiplies themselves in 18 yr is

128

MHT CET 2020 16th October Evening Shift

MCQ (Single Correct Answer)

-0

The particular solution of the differential equation $$y\left(\frac{d x}{d y}\right)=x \log x$$ at $$x=e$$ and $$y=1$$ is

$$x y=2$$

$$x=e^y$$

$$e^{x y}=2$$

$$\log x=2 y$$

MHT CET 2020 16th October Morning Shift

MCQ (Single Correct Answer)

-0

The differential equation obtained from the function $$y=a(x-a)^2$$ is

$$8 y^2=\left(\frac{d y}{d x}\right)^2\left[x+\frac{1}{4 y}\left(\frac{d y}{d x}\right)^2\right]^2$$

$$4 y^2=\left(\frac{d y}{d x}\right)^2\left[x-\frac{1}{4 y}\left(\frac{d y}{d x}\right)^2\right]^2$$

$$2 y^2=\left(\frac{d y}{d x}\right)^2\left[x-\frac{1}{4 y}\left(\frac{d y}{d x}\right)^2\right]^2$$

$$8 y^2=\left(\frac{d y}{d x}\right)^2\left[x-\frac{1}{4 y}\left(\frac{d y}{d x}\right)^2\right]^2$$

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