List of practice Questions

Two Polaroids $P_1 $ and $P_2$ are placed with their axis perpendicular to each other. Unpolarised light $I_0$ is incident on $P_1$. A third polaroid $P_3$ is kept in between $P_1$ and $P_2$ such that is axis makes an angle 45$^{\circ}$ with that of $P_1$ .The intensity of transmitted light through $P_2$ is : -

The vascular cambium normally gives rise to :

The element $Z = 114$ has been discovered recently. It will belong to which of the following family/group and electronic configuration ?

The function of copper ions in copper releasing IUD's is :

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities $\omega_1$ and $\omega_2$ . They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is:-

During anaerobic respiration, number of ATP molecules generated by the breakdown of 20 glucose molecule is _______

During glycolysis the compounds PGAL and DHAP are formed from fructose 1, 6 diphosphate by ________________

Which one of the following statement is not valid for aerosols ?

Mechanism of a hypothetical reaction $X _{2}+ Y _{2} \rightarrow 2 XY$ is given below: (i) $X_{2} \rightarrow X+X$ (fast) (ii) $X + Y _{2} \rightleftharpoons XY + Y$ ( slow ) (iii) $X + Y \rightarrow XY$ (fast) The overall order of the reaction will be

Mule is an example of _______

Identify the microbial source for antibiotic streptomycin

The ____________ is a primary constriction

$tert-butyl\, methyl$ ether on treatment with hydrogen iodide in cold gives

The value of \(\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} (x^2 \sin x + x^3) \, dx\) is:

The sum of the perpendicular distances from the origin to the planes 12x-3y+4z+26=0 and 2x-4y+4z+18=0 is

Let \( a, b, c \) be distinct real numbers such that
\[\Delta = \begin{vmatrix}2014 & 2015 & 2013 + a^{-1} \\2015 & 2016 & 2013 + b^{-1} \\2016 & 2017 & 2013 + c^{-1}\end{vmatrix} = 0\]
Then:

Solution of the differential equation\( \frac{dy}{dx}=y^2\) with the condition y(1)=1 is

The points (a, 2), (0, b), (1, 1) are collinear. Then

The area bounded by the curve \(y=x^3, y=0, x=1\) is

The left most figure below shows the top view of an object. Identify the correct elevation from amongst the answer figures, looking in the direction of arrow.

How many surfaces are there in the model? Consider all seen and unseen surfaces.

The value of \(\lambda\) for which the straight line (2x+3y+4)+\(\lambda\)(6x-y+12)=0 is parallel to y-axis is 

Derivative of sinx with respect to cosx is

Value of the determinant \[\begin{vmatrix}1 & w & w^2 \\w & w^2 & 1 \\w^2 & 1 & w\end{vmatrix}\] where \( w \) is the cube root of unity is:

The system of linear equations -2x+y+2=a, x-2y+z=b, x+y-2z=c have infinitely many solutions if