List of practice Questions

A gas is compressed from a volume of $2 \,m^3$ to a volume of $1\, m^3$ at a constant pressure of $100\, N/m^2$. Then it is heated at constant volume by supplying $150\, J$ of energy. As a result, the internal energy of the gas :

A spherically symmetric charge distribution is characterised by a charge density having the following variation : $\rho\left(r\right)=\rho_{0}\left(1-\frac{r}{R}\right)$ for $r < R$ $\rho \left(r\right)=0 \,$ for $r\ge R$ Where $r$ is the distance from the centre of the charge distribution and $\rho_{0}$ is a constant. The electric field at an internal point $(r < R)$ is

A d.c. main supply of e.m.f. $220\, V$ is connected across a storage battery of e.m.f. $200\, V$ through a resistance of $1$ $\Omega$. The battery terminals are connected to an external resistance '$R$'. The minimum value of '$R$', so that a current passes through the battery to charge it is :

Let $a ,b,c$ and $d$ be non-zero numbers. If the point of intersection of the lines $4ax+2ay+c = 0$ and $5bx + 2by+ d = 0$ lies in the fourth quadrant and is equidistant from the two axes, then

A person is driving a vehicle at uniform speed of $5\, ms ^{-1}$ on a level curved track of radius $5\, m .$ The coefficient of static friction between tyres and road is $0.1 .$ Will the person slip while taking the turn with the same speed ? Take $g =10\, ms ^{-2}$ Choose the correct statement.

In a class of $60$ students, $25$ students play cricket and $20$ students play tennis, and $10$ students play both the games. Then, the number of students who play neither is

A bag contains $n + 1$ coins. It is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is $\frac{7}{12}$, then the value of $n$ is.

Adventitious buds at the leaf notches help to propagate the plant of

A piece of wood from an' archaeological sample has $5.0$ counts $\min ^{-1}$ per gram of $C-14$, while a fresh sample of wood has a count of $15.0 \,min ^{-1} \,g ^{-1}$. If half-life of $C-14$ is $5770\, yr$, the age of the archaeological sample is

Person with blood group AB is considered as universal recipient because he has

$AB$ and $CD$ are $2$ line segments ; where $A(2,3,0),B (6, 9, 0), C(-6, -9, 0). P $ and $Q$ are midpoint of $AB$ and $CD$, respectively and $L$ is the midpoint of $PQ$. Find the distance of $L$ from the plane $3x + 4z + 25 = 0$

Two beams, A and B, of plane polarised light with mutually perpendicular planes of polarisation are seen through a Polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of Polaroid through 30$^{\circ}$ makes the two beams appear equally bright. If the initial intensities of the two beams are $I_A \, and \, I_B$ respectively, then $I_A / I_B$ equals

Parallel rays of light of intensity I=912 Wm$^{-2}$ are incident on a spherical black body kept in surroundings of temperature 300 K . Take Stefan constant $\sigma =5.7 \times 1^{-8} Wm ^{-2} K^{-4}$ and assume that the energy exchange with the surroundings is only through radiation The final steady state temperature of the black body is close to

Pollen tablets are available in the market for

The organization which publishes the Red list of species is

Equal masses of $H_2, O_2$ and methane have been taken in a container of volume V at temperature $27^\circ$C in identical conditions. The ratio of the volumes of gases ${H_2 : O_2 :CH_4}$ would be

Function of filiform apparatus is to

When 22.4 L of $H_{2(g)}$ is mixed with 11.2 L of $Cl_{2(g)}$, each at STP, the moles of $HCl_{(g)}$ formed is equal to

Sulphur sol is a type of

The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is :

If $\sqrt{y}=cos^{-1}x,$ then it satisfies the differential equation $\left(1-x^{2}\right)-x \frac{dy}{dx}=c,$ where $c$ is equal to

Identify the given figure and select the correct option for $A$, $B$ and $C$.

List of drugs whose import, manufacture and sale, labeling and packaging are governed by special provisions are included in schedule:

Consider two concentric spherical metal shells of radii $r_1$ and $r_2 (r_2 > r_1)$. If the outer shell has a charge $q$ and the inner one is grounded, the charge on the inner shell is

In a double slit interference experiment, the fringe width obtained with a light of wavelength $ 5900\, ??$ was $ 1.2\,mm $ for parallel narrow slits placed $ 2\,mm $ apart. In this arrangement, if the slit separation is increased by one-and-half times the previous value, then the fringe width is