List of practice Questions

$Nylon-6,6$ is an example of a polymer formed by
The medians $AD$ and $BE$ of a triangle with vertices $A(0, b), B(0, 0) $ & $C(a, 0)$ are perpendicular to each other, if
$\int\limits \frac{x^3 -1}{x^3 + x} dx = $
The introduction of T-DNA into plants involves
If $A = \begin{bmatrix}a&0&0\\ 0&a&0\\ 0&0&a\end{bmatrix}$, then det(adj A) is
The correct increasing order of basic strength of following amines, $ {C2H5NH2, NH3, (C2H5)2NH, C6H5NH2}$ in gaseous state is
The magnetite ore is
A straight line meets the coordinates axes at $A$ and $B$, so that the centroid of the triangle $OAB\, is \, (1, 2)$. Then the equation of the line $AB$ is
The number of bijective functions from the set $A$ to itself, if $A$ contains $108$ elements is -
Given $5$ line segments of lengths $2, 3, 4, 5, 6 $ units. Then, the no. of triangles that can be formed by joining these segments is
Two resistances $A$ and $B$ have colour codes orange, blue, white and brown, red, green respectively. Then ratio of their resistances $A : B$ is
A particle of unit mass undergoes one dimensional motion such that its velocity varies according to $v(x)=\beta x^{-2n},$ where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$, is given by
A ship A is moving Westwards with a speed of 10 km $h^{ - 1}$ and a ship B 100 km South of A, is moving Northwards with a speed of 10 km $ h^{ - 1}$. The time after which the distance between them becomes shortest, is
If avogadro number $N_A$, is changed from ${6.022 \times 10^{23} \, mol^{-1} }$ to ${6.022 \times 10^{20} \, mol^{-1} }$ , this would change :
A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?
A proton and an alpha particle both enter a region of uniform magnetic field $B$, moving at right angles to the field $B$. If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is $1\,MeV$, the energy acquired by the alpha particle will be
Aqueous solution of which of the following compounds is the best conductor of electric current?
Ectopic pregnancies are referred to as
A mass m moves in a circle on a smooth horizontal plane with velocity $ v_0 $ at a radius $ R_0. $ The mass is attached to a string which passes through a smooth hole in the plane as shown. The tension in the string is increased gradually and finally m moves in a circle of radius $ \frac{R_0}{2}. $ The final value of the kinetic energy is
Which of the following had the smallest brain capacity?
An ideal gas is compressed to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas?
A mixture of gases contains $H_2$ and $O_2$ gases in the ratio of 1 : 4 (w/w). What is the molar ratio of the two gases in the mixture?
In an $S_N1$ reaction on chiral centres, there is :
A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to . X-axis while semicircular portion of radius R is lying in Y-Z plane. Magnetic field at point O is
A parallel plate air capacitor has capacity $C$, distance of separation between plates is $d$ and potential difference $V$ is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is