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TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
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2023 · Physics · Mechanics · Units And Measurement And Dimensions
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
A physical quantity $X$ is given by $X=\frac{2 k^3 l^2}{m \sqrt{n}}$. The percentage errors in the measurements of $k, l, m$ and $n$ are $1 \%, 2 \%, 3 \%$ and $4 \%$ respectively. The value of $X$ is uncertain by
2023 · Mathematics · Calculus · Differentiation
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
Match the values of $\frac{d y}{d x}$ at $x=\frac{\pi}{3}$ for the following system of curves in parametric form given in List-I with those of the items in List-II
| List-I | List-II | ||
| (i) | \(x = a ( \theta - \mathrm{sin} \theta ) , y = a ( 1 - \mathrm{cos} \theta )\)\(x = a ( \theta - \mathrm{sin} \theta ) , y = a ( 1 - \mathrm{cos} \theta )\)x=a(theta-sin theta),y=a(1-cos theta) | (a) | \(4 \sqrt{3}\)\(4 \[\sqrt{3}\)4sqrt3\] |
| (ii) | \(x = 3 \mathrm{cos} \theta - 2 \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - 2 \mathrm{sin}^{3} \theta\)\(x = 3 \mathrm{cos} \theta - 2 \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - 2 \mathrm{sin}^{3} \theta\)x=3cos theta-2cos^(3)theta,y=3sin theta-2sin^(3)theta | (b) | \(\frac{- 1}{3 \sqrt{3}}\)\(\frac{- 1}{3 \[\sqrt{3}}\)(-1)/(3sqrt3)\] |
| (iii) | \(x = 3 \mathrm{cos} \theta - \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - \mathrm{sin}^{3} \theta\)\(x = 3 \mathrm{cos} \theta - \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - \mathrm{sin}^{3} \theta\)x=3cos theta-cos^(3)theta,y=3sin theta-sin^(3)theta | (c) | \(\sqrt{3}\)\(\sqrt{3}\)sqrt3 |
| (iv) | \(x = a \mathrm{log} \mathrm{sin} \theta , y = a \mathrm{tan} \theta\)\(x = a \mathrm{log} \mathrm{sin} \theta , y = a \mathrm{tan} \theta\)x=a log sin theta,y=a tan theta | (d) | \(\frac{1}{\sqrt{3}}\)\(\frac{1}{\sqrt{3}}\)(1)/(sqrt3) |
| (e) | \(\frac{1}{3 \sqrt{3}}\)\(\frac{1}{3 \[\sqrt{3}}\)(1)/(3sqrt3)\] | ||
2023 · Chemistry · Physical Chemistry · Atomic Structure
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
A 100 W bulb emits light of wavelength
$x \mathop {\rm{A}}\limits^{\rm{o}} $. What is the value of $x$, if the number of photons emitted is $2.0 \times 10^{20} \mathrm{~s}^{-1}$ ?
$$\left(h=6.63 \times 10^{-34} \mathrm{Js}, 1 \mathrm{~W}=1 \mathrm{Js}^{-1}\right)$$
2023 · Physics · Mechanics · Center Of Mass
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
A bomb of mass 16 kg explodes into two pieces of masses 4 kg and 12 kg . The velocity of the 12 kg mass is $4 \mathrm{~ms}^{-1}$. The kinetic energy of the second piece is
2023 · Mathematics · Algebra · Complex Numbers
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
If $x=a+b, y=a \alpha+b \beta, z=a \beta+b \alpha$ and $\alpha, \beta$ are the complex cube roots of unity, then $x^3+y^3+z^3=$
2023 · Chemistry · Physical Chemistry · Atomic Structure
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
The ratio of the difference in energy between the first and second Bohr orbits to that between the second and third orbit is