List of top Questions asked in AP EAPCET

The standard reduction potentials at 298 K for the following half cell reactions are given below: $ Z{{n}^{2+}}(aq)+2{{e}^{-}}\rightleftharpoons Zn(s)-0.762 $ $ C{{r}^{3+}}(aq)+3{{e}^{-}}\rightleftharpoons Cr(s)-0.74 $ $ 2{{H}^{+}}(aq)+2{{e}^{-}}\rightleftharpoons {{H}_{2}}(g)\,0.00 $ $ F{{e}^{3+}}(aq)+{{e}^{-}}\rightleftharpoons F{{e}^{2+}}(aq)+0.77 $ Which one of the following is the strongest reducing agent?
The state of hybridization of B in $ \text{BC}{{\text{l}}_{\text{3}}} $ is :
The sum of the first \( n \) terms of an arithmetic progression is \( S_n = 3n^2 + 2n \). Find the 5th term of the sequence.
If the roots of the quadratic equation \( 2x^2 - 8x + 5 = 0 \) are \( p \) and \( q \), find the value of \( \frac{1}{p} + \frac{1}{q} \).
The volume of 2 moles of an ideal gas at STP is:
If \( z \) is a complex number such that \( |z| = 5 \) and \( \text{Re}(z) = 3 \), then the value of \( z^2 \) is:
Evaluate \( \int_{1}^{2} \frac{1}{x^2} \, dx \).
In a potentiometer experiment, a cell of emf 1.5 V gives a balance point at 75 cm. If the cell is replaced by another cell and the balance point is at 60 cm, the emf of the second cell is:

Find the derivative of the function \(f(x) = \sqrt{3x^2 + 2x + 1}\).

If the earth shrinks such that its density becomes 8 times to the present value, then the new duration of the day in hours will be
If \( \vec{a} = 2\hat{i} - \hat{j} + 3\hat{k} \), \( \vec{b} = \hat{i} + 2\hat{j} - \hat{k} \), then the angle \( \theta \) between \( \vec{a} \) and \( \vec{b} \) is:
Two numbers are selected at random (without replacement) from the first 50 natural numbers. The probability that their sum is even is:

An ideal gas undergoes an isothermal process at 300 K. If the initial volume is 2 m\(^3\) and it doubles to 4 m\(^3\), what is the work done by the gas? (Take \(R = 8.31 \, \text{J/(mol.K)}\), and assume 1 mole of gas.)

If \( f(x) = 2x^3 - 3x^2 + 4 \), then the minimum value of \( f(x) \) in the interval \( [0, 3] \) is:
The sum of the first 20 terms of an arithmetic progression is 610. If the first term is 7, what is the common difference?
The integral $ \int (3x^2 - 2x + 1) \, dx $ is:
If \( \tan A + \tan B + \tan C = \tan A \tan B \tan C \) and \( A + B + C = \pi \), then which of the following is true?
If the roots of the quadratic equation \( x^2 - 6x + k = 0 \) have a difference of 2, find the value of \( k \).
A Carnot engine operates between \( 500 \, \text{K} \) and \( 300 \, \text{K} \). If it absorbs \( 1000 \, \text{J} \) of heat from the source, the amount of work done by the engine is:

Two charges \( +5 \, \mu\text{C} \) and \( +5 \, \mu\text{C} \) are placed 1 m apart. What is the electric potential at the midpoint between them? (Take \(k = 9 \times 10^9 \, \text{N.m}^2/\text{C}^2\)).

A convex lens has a focal length of 20 cm. If an object is placed 30 cm from the lens, what is the image distance?
If \( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \), find the inverse of matrix \( A \).
The mean of 5 numbers is 10, and their variance is 16. If one number is increased by 5, what is the new mean?
Find the area of the triangle with vertices at (0, 0), (3, 0), and (0, 4).
A box contains 4 white and 6 black balls. If 3 balls are drawn at random with replacement, what is the probability that at least one is white?