List of practice Questions

Volume of a gas at NTP is $ 1.12\times {{10}^{-7}}c{{m}^{3}} $ . The number of molecules in it is
The line joining $A (2, -7)$ and $B(6, 5)$ is divided into $4$ equal parts by the points $ P,Q$ and $R$ such that $AQ = RP = QB$. The midpoint of $ PR$ is _______
The number $(49^2 -4) (49^2 -49)$ is divisible by ..................
The constant term of the polynomial $\begin{vmatrix} {x+3}&{x} &{x+2}\\ {x}&{x+1}& {x-1} \\ {x+2}&{2x}&{3x+1}\\ \end{vmatrix} $ is ________
The order and degree of the differential equation y =$ \frac {dp}{dx}x +\sqrt {a^2p^2+b^2}$ where $ p=\frac {dy}{dx}$(here $a$ and $b$ are arbitrary constants) respectively are
Jaundice is a disorder of
$Cu$ ions released from copper-releasing intra uterine devices (IUDs)
When domestic sewage mixes with river water
Which one of the following is the correct description of a certain part of a normal human skeleton?
$ABO$ blood groups in human beings are controlled by the gene $I$. has three alleles - $I^A$, $I^B$ and $i$. Since there are three different alleles, six different genotypes are possible. How many phenotypes can occur ?
During mitosis, ER and nucleolus begin to disappear at
Why do most chemical reaction rates increases rapidly as the temperature rises?
Pollution is
The number of metamers possible for $ C_4H_{10}O $ is
The wave number of the spectral line in the emission spectrum of hydrogen will be equal to $\frac {8}{9}$ times the Rydberg's constant if the electron jumps from _______
Equation of the circle centered at $(4, 3)$ touching the circle $x^2+y^2-1$ externally, is _____
If $A$ is a $3 \times 3$ nonsingular matrix and if $|A | = 3$, then $|(2A)^{-1}|$= _______
Angular frequency of an electron in Bohr atom with quantum number n is proportional to
As resistance in a series resonant circuit increases (i) sharpness of resonance decreases (ii) bandwidth increases
In the group $\{1, 2, 3, 4, 5, 6\}$ under multiplication modulo $7$, if $5x = 4$, then $x =$
If $x= a\left(\cos \theta +\theta \sin \theta\right)$ and $ y = a \left(\sin \theta- \theta \cos \theta \right) $ where $0 < \theta < \frac{\pi}{2}$ , then $ \frac{d^{2}y}{dx^{2}}$ at $ \theta = \frac{\pi}{4}$ is equal to
If $f\left(9\right)= 9 , f'\left(9\right) = 4 $ then $\lim_{x\to9} \frac{\sqrt{f\left(x\right)} -3}{\sqrt{x} - 3} = $
Let $y' = e^{-2x} $ and $ y = 0$ when $x =e$. Then the value of $x$ when $ y =\frac{1}{2}$ is
Excited H atom emits a photon of energy $12.1 \, eV$, orbital angular momentum of electron changes by
Fehling's reagent contains