List of practice Questions

Sodium rosinate is generally added in the soap because it
The cathode reaction in the dry cell will be
The decreasing order of reactivity towards electrophilic substitution of the following compounds is
The diagram shows a barrel of weight $ {1.0 \times 10^{3} \,N}$ on a frictionless slope inclined at $30?$ to the horizontal. The force -is parallel to the slope. What is the work done in moving the barrel a distance of $5.0 \,m$ up the slope?
The differential equation of the family of parabolas $y^2 = 4ax$, where $a$ is parameter, is
The instantaneous voltage of a $50\,Hz$ generator giving peak voltage as $300\,V$. The generator equation for this voltage is
The mass of oxygen gas which occupies $5.6$ litres at STP would be
The maximum area in square units of an isosceles triangle inscribed in an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ with its vertex at one end of the major axis is
The value of $c$ in Lagrange's theorem for the function $f(x) = \log (\sin \, x)$ in the interval $\left[ \frac{\pi}{6} , \frac{5 \pi}{6} \right]$ is
$Nylon-6,6$ 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