List of practice Questions

A small hole of area of cross-section $2 \,mm^2$ is present near the bottom of a fully filled open tank of height $2 \,m$. Taking $g = 10 \,m/s^{-2}$. the rate of flow of water through the open hole would be nearly:

Liquids $A$ and $B$ form an ideal solution in the entire composition range. At $350\, K$, the vapor pressures of pure $A$ and pure $B$ are $7 \times 10^3$ Pa and $12 \times 10^3\, Pa$, respectively. The composition of the vapor in equilibrium with a solution containing $40$ mole percent of $A$ at this temperature is :

Select the hormone-releasing Intra-Uterine Devices.

Which one is malachite from the following ?

The interval in which the function $f(x) = x^3 - 6x^2 + 9x + 10$ is increasing in

The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is

If $a + \frac{\pi}{2} < 2 \tan^{-1} x + 3 \cot^{-1} x < b $ then 'a' and 'b' are respectively.

The domain of the function f : R $\to$ R defined by $f(x) = \sqrt{x^2 - 7x + 12} $ is

In a species, the weight of newborn ranges from 2 to 5 kg 97% of the newborn with an average weight between 3 to 3.3 kg survive whereas 99% of the infants born with weights from 2 to 2.5 kg or 1.5 to 5 kg die Which type of selection process is taking place ?

Variations caused by mutation, as proposed by Hugo de Vries, are:

Cells in G0 phase

Which of the following contraceptive methods do involve a role of hormone ?

Which of the following factors is responsible for the formation of concentrated urine ?

The shorter and longer arms of a submetacentric chromosome are referred to as

In which of the following the election gain enthalpy of elements is correctly arranged?

The type of mirrors used by Archimedes in burning ships is

Identify the incorrect statement related to ${PCl_5}$ from the following:

A 800 turn coil of effective area 0.05 $m^2$ is kept perpendicular to a magnetic field $5\times 10^{-5}$ T. When the plane of the coil is rotated by $90^\circ$ around any of its coplanar axis in 0.1 s, the emf induced in the coil will be

Match Column - I with Column - II.

Choose the correct answer from the options given below :

In a Young' double slit experiment. if there is no initial phase difference between the light from the two slits, a point on the screen corresponding to the fifth minimum has path difference.

When a block of mass $M$ is suspended by a long wire of length $L$. the length of the wire becomes $(L+ l)$. The elastic potential energy stored in the extended wire is:

A hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at , distance r from the centre :

In $RNAi$, genes are silenced using

Select the correct group of biocontrol agents

The ciliated epithelial cells are required to move particles or mucus in a specific direction. In humans, these cells are mainly present in