List of practice Questions

What is Showrooming?

Which of the following is NOT one of the World Heritage Sites?

Which of the following is not a video streaming service?

Match the rockets/missions to their space agencies:

	Rocket/Mission		Space Agency
a	Falcon 9	I	ISRO
b	Mars Rover	II	ESA
c	Exo Mars trace gas Orbiter	III	NASA
d	Yinghuo	IV	Space X
e	Mangalyaan	V	CNSA

A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of $10 \,cm$. The separation between the two lenses is $2 \,cm$. The focal lengths of the component lenses are :

In $KO_2$, the nature of oxygen species and the oxidation state of oxygen atom are, respectively :

In the molecular orbital diagram for the molecular ion, $N_2{^{+}}$, the number of electrons in the $\sigma_{2p}$ molecular orbital is :

At $518^{\circ} C$ , the rate of decomposition of sample of gaseous acetaldehyde, initially at a pressure of $363$ Torr, was $1. 00$ Torr $s^{-1}$ when $5\%$ had reacted and $0.5$ Torr $s^{-1}$ when $33\%$ had reacted. The order of the reaction is -

A $100.0\, mL$ dilute solution of $Ag ^{+}$is electrolysed for $15.0$ minutes with a current of $1.25 \,mA$ and the silver is removed completely. What was the initial $\left[ Ag ^{+}\right]$?

How long (approximate) should water be electrolysed by passing through $100$ amperes current so that the oxygen released can completely burn $27.66 \,g$ of diborane ? (Atomic weight of $B = 10.8\, u$ )

In a Fraunhofer diffraction at a single slit, if yellow light illuminating the slit is replaced by blue light, then diffraction bands

Two slits are separated by a distance of 0.5 mm and illuminated with light of λ = 6000Å. If the screen is placed 2.5 m from the slits. The distance of the third bright image from the centre will be

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let $\lambda_n, \lambda_g$ be the de Broglie wavelength of the electron in the $n^{th}$ state and the ground state respectively. Let $\Lambda_n$ be the wavelength of the emitted photon in the transition from the $n^{th}$ state to the ground state. For large $n,$ ($A, B$ are constants)

From a uniform circular disc of radius $R$ and mass $9 \,M$, a small disc of radius $\frac{R}{3}$ is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is -

A body of mass $M$ and charge $q$ is connected to a spring of spring constant $k$. It is oscillating along x-direction about its equilibrium position, taken to be at $x = 0$, with an amplitude $A$. An electric field $E$ is applied along the x-direction. Which of the following statements is correct ?

If $x = \sqrt{2^{cosec^{-1} } t}$ and $y = \sqrt{2^{\sec^{-1}} t} (|t | \geq 1)$, then $\frac{dy}{dx}$ is equal to :

In a simultaneous throw of a pair of dice, the probability of getting a total more than 7 is

The negation of the statement "72 is divisible by 2 and 3" is

The potential energy of a simple harmonic oscillator of mass $2\, kg$ at its mean position is $5\, J.$ If its total energy is $9\, J$ and amplitude is $1\, cm$. then its time period is

Why is the heat evolved in neutralization of HF is highest

A flashlight has 10 batteries out of which 4 are dead. If 3 batteries are selected without replacement and tested, then the probability that all 3 are dead is

A bag contains 17 tickets numbered from 1 to 17. A ticket is draw at random, then another ticket is drawn at random, then another ticket is drawn without replacing the first one . The probability that both the tickets may show even numbers is

The number of the distinct real roots of the equation $\begin{vmatrix}\sin x&\cos x&\cos x\\ \cos x&\sin x&\cos x\\ \cos x&\cos x&\sin x\end{vmatrix} = 0 $ , in the interval $ - \frac{\pi}{4} \le x \le \frac{\pi}{4}$ is

Which one of the following group is nutritionally essential amino acids?

During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?