1
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $x d y-y d x=\sqrt{x^2+y^2} d x$, given that $y=1$ when $x=\sqrt{3}$, is

A

$\left(x^2-y^2\right)^2=x^2+y^2$

B

$\left(x^2-y^2\right)^2=x^2+y^2$

C

$\left(x^2+y\right)^2=x^2-y^2$

D

$x^2-y=\left(x+y^2\right)^2$

2
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the solution $y(x)$ of the differential equation $\sin x \frac{d y}{d x}+y \cos x=e^{2 x}, x \in(0, \pi)$ satisfies $y\left(\frac{\pi}{2}\right)=0$, then $y\left(\frac{\pi}{6}\right)=$

A

$e^{\pi / 3}+e^\pi$

B

$e^{\pi / 3}-e^\pi$

C

$e^\pi-e^{\pi / 3}$

D

$\frac{1}{2}\left(e^{\pi / 3}-e^\pi\right)$

3
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The long range force experienced by a neutral particle with a finite mass

A

gravitational force

B

weak force

C

electromagnetic force

D

strong force

4
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The dimension of angular momentum in mass $(M)$, length $(L)$ and time $(T)$ is

A

$\left[\mathrm{MLT}^{-1}\right]$

B

$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]$

C

$\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]$

D

$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$

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