List of practice Questions

If $T$ is the surface tension of a liquid, the energy needed to break a liquid drop of radius $R$ into $64$ drops is

If the susceptibility of dia, para and ferro magnetic materials are $\chi_{d} , \chi_{p} , \chi_{f} $ respectively, then

In the estimation of sulphur by Carius method, $0.480\, g$ of an organic compound gives $0.699 \,g$ of barium sulphate. The percentage of sulphur in this compound is (Atomic masses: $Ba\, = 137, S = 32, 0 = 16)$

lf the length of a seconds pendulum is increased by 2%, then in a day the pendulum

The increasing order of the density of alkali metals is

The period of oscillation of a simple pendulum is given by $T = 2 \pi \sqrt{\frac{L}{g}}$ , where L is the length of the pendulum and g is the acceleration due to gravity. The length is measured using a meter scale which has $2000$ divisions. If the measured value L is $50\, cm,$ the accuracy in the determination of g is $1.1\%$ and the time taken for 100 oscillations is 100 seconds, what should be the resolution of the clock (in milliseconds) .

The reaction of $ CHC{{l}_{3}} $ and alcoholic $ KOH $ with $ p $ -toluidine gives

When methane is heated with dioxygen in the presence of $Mo_2O_3$ catalyst, the organic product obtained is

Which of the following pairs contain metalloid elements in the periodic table?

Let $A$ and $B$ be two events such that $P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\right)P\left(B\right).$ If $0 < P\left(A\right)< 1$ and $0 < P\left(B\right)< 1$ , then $P\left(A\cup B\right)^{'}=$

If one root of the equation $ l{{x}^{2}}+mx+n=0 $ is $ \frac{9}{2} $ $ (l,m $ and n are positive integers) and $ \frac{m}{4n}=\frac{l}{m}, $ then $ \frac{1}{x}+\frac{1}{y} $ is equal to

If the sum to first $n$ terms of the $A.P. 2,4,6,...$ is $240$, then the value of $n$ is

$\int\frac{3 ^{x}}{\sqrt{1-9 ^{x}}}dx\quad$is equal to

Which one of the following isomeric amines has the highest boiling point?

When $H_2$ and $CO$ are reacted in the presence of $Cu$ catalyst, the product/s obtained is/are

In n- p-n transistor, the collector current is 10 mA. If 90% of the electrons emitted reach the collector, then

In a pure inductive AC circuit

A simple pendulum has a time period T in vacuum. Its time period when it is completely immersed in a liquid of density one-eighth of the density of material of the bob is

A car of mass $1500\,kg$ is lifted up a distance of $30\,m$ by crane $A$ in $0.5$ minutes. The second crane $B$ does the same job in 1 minute. The ratio of their power is

Six capacitors each of capacitance of $2 \mu F$ are connected as shown in the figure. The effective capacitance between A and B is

The following figure gives the movement of an object. Select the correct statement from the given choices.

To decrease the volume of a gas by 5% at constant temperature, the pressure should be

The velocity of sound is v at 273 K. The temperature at which it is 2v is

A given resistor has the following colour code of the various strips on it: Brown, black, green and silver. The value of its resistance in ohm is

The rate of forward reaction is two times that of the reverse reaction at a given temperature and identical concentration, K equilibrium is