List of practice Questions

Evaluate the integral: $\int_{-\pi}^{\pi} x^2 \sin(x) \, dx$

The effective resistance between A and B, if resistance of each resistor is R, will be

Match List-I with List-II.

Choose the correct answer from the options given below:

The heat absorbed by a system in going through the given cyclic process is :

Match List I with List II

Choose the correct answer from the options given below :

Let $P$ be a point on the ellipse \[\frac{x^2}{9} + \frac{y^2}{4} = 1.\]Let the line passing through $P$ and parallel to the $y$-axis meet the circle \[x^2 + y^2 = 9\]at point $Q$ such that $P$ and $Q$ are on the same side of the $x$-axis. Then, the eccentricity of the locus of the point $R$ on $PQ$ such that $PR : RQ = 4 : 3$ as $P$ moves on the ellipse, is:

A parallel plate capacitor has 1 \(\mu\)F capacitance. One of its two plates is given \(+2 \mu C\) charge and the other plate, \(+4 \mu C\) charge. The potential difference developed across the capacitor is:

Two cells are connected in opposition as shown. Cell \( E_1 \) is of 8 V emf and 2 \( \Omega \) internal resistance; the cell \( E_2 \) is of 2 V emf and 4 \( \Omega \) internal resistance. The terminal potential difference of cell \( E_2 \) is:

The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?

Find out which of the answer figures completes the figure matrix :

Which of the following is not a neutral ligand?

For an electric dipole in a non-uniform electric field with dipole moment parallel to the direction of the field, the force F and torque τ on the dipole respectively are______.
Fill in the blank with the correct answer from the options given below.

Find the missing number in the following sequence:

Describe any three features of cultivation of millets in India.

What is the magnetic field produced inside a solenoid?

Which is an adiabatic process?

What is an example of a thermoplastic?

In a monohybrid cross between two heterozygous parents (\(Aa \times Aa\)), what is the genotypic ratio among the offspring?

Which of the following techniques is commonly used to introduce herbicide resistance into plants?

How many steps are there in the process of glycolysis, the metabolic pathway that converts glucose into pyruvate?

In males, the penis is analogous to which structure in females?

Which of the following is a function of the hypothalamus?

Which of the following is a restriction endonuclease?