List of top Questions asked in AP EAPCET

The wave number of a photon is \( 10^4 \, cm^{-1} \). What is its energy in joules? Given: \[ h = 6.6 \times 10^{-34} \, Js, \quad c = 3 \times 10^{10} \, cm/s, \quad \tilde{\nu} = 10^4 \, cm^{-1} \]

If \( P, Q \) and \( R \) are \( 3 \times 3 \) matrices such that} \[ P = \begin{bmatrix} 3x^2 + x + 3 & 2x^2 - x + 4 & 7x^2 + 8x + 5 \\ 5x^2 + 3x + 2 & 4x^2 - 2x - 1 & 7x^2 + 5x + 8 \\ 3x^2 + 2x + 5 & 4x^2 - x - 2 & 3x^2 + 8x + 7 \end{bmatrix} = Px^2 + Qx + R \] then det \( R = \) ?

The equation of a tangent to the circle \(x^2 + y^2 + 2x - 12y - 132 = 0\) which is perpendicular to the line \(12x + 5y + k = 0\) is:

Assertion (A): \(\displaystyle \int_0^{\frac{\pi}{2}} (\sin^6 x + \cos^6 x)\, dx\) lies in the interval \(\left(\frac{\pi}{8}, \frac{\pi}{2}\right)\) Reason (R): \(\sin^6 x + \cos^6 x\) is a periodic function with period \(\dfrac{\pi}{2}\)

Among the following, the correct statement is

The number of natural numbers less than 10000 which are divisible by 5 and that no digit is repeated in the same number, is

If \( A = \frac{\pi}{24} \), then \[ \frac{\cos A + \cos 3A + \cos 5A + \cos 7A}{\sin A + \sin 3A + \sin 5A + \sin 7A} \]

If \[ \frac{x + 2}{x^2 - 3} \text{ is one of the partial fractions of } \frac{3x^3 - x^2 - 2x + 17}{x^4 + x^2 - 12}, \text{ then the other partial fraction of it is:} \]

Assertion (A): The difference of the slopes of the lines represented by \( y^2 - 2xy \sec^2 \alpha + (3 + \tan^2 \alpha) \left( 1 + \tan^2 \alpha \right) \cos^2 \theta = 0 \) is 4. Reason (R): The difference of the slopes represented by \( ax^2 + 2hxy + by^2 = 0 \) is \( \frac{2\sqrt{h^2 - ab}}{|b|} \).

Let \( (1, 2) \) be the focus and \( x + y + 1 = 0 \) be the directrix of a hyperbola. If \( \sqrt{3} \) is the eccentricity of the hyperbola, then its equation is:

6 g of urea (molar mass = 60 g mol$^{-1}$) and 9 g of glucose (molar mass = 180 g mol$^{-1}$) were dissolved in 35 g of water. The mass percent of urea and glucose is respectively.

Arrange the following in order of increasing number of unpaired electrons in them:

1. \([Fe(CN)_6]^{3-}\)
2. \([MnCl_6]^{3-}\)
3. \([FeF_6]^{3-}\)
4. \([Co(NH_3)_6]^{3+}\)

The suitable reagent to carry out the following reaction is:

Assertion (A): Mast cells secrete serotonin.
Reason (R): Vasodilators cause inflammation in response to infection.

Find out the primary lymphoid organ from the following:

Among the following, nocturnal periodicity is exhibited by