List of practice Questions

If the plane $ 2x-3y+6z-11=0 $ makes an angle $ \theta $ with the $x-axis$, then the value of $ \tan \theta $ is equal to
The number of tetrahedral and octahedral void per unit cell of cubic closed packed structure is
Assuming density $d$ of a planet to be uniform, we can say that the time period of its artificial satellite is proportional to
In an acidified aqueous solution of $Mn ^{2+}, Ni ^{2+}, Cu ^{2+}$ and $Hg ^{2+}$ ions, $H _{2} S$ gas was passed. Precipitates are
When the following amide is treated with $Br_{2}/KOH$, it gives
If the image of the point $ (1,\,-2,3) $ in the plane $ 2x+3y-z=7 $ is the point $ (\alpha ,\beta ,\gamma ) $ then $ \alpha +\beta +\gamma $ is equal to
Consider the diagram shown below.
A voltmeter of resistance $ 150 \,\Omega $ . is connected across $A$ and $B$. The potential drop across and $C$ measured by voltmeter is
A ray of light is incident at an angle $i$ on a glass slab of refractive index $\mu$. The angle between reflected and refracted light is $90^{\circ}$. Then, the relationship between $i$ and $\mu$ is
The current $I$ in the circuit shown is
One mole of NaCl contains 6.023 ??10 molecules of sodium chloride. 58.5 g of NaCl also contains 6.023 ??10 molecules of NaCl.
A balloon which always remains spherical is being inflated by pumping in $10$ cubic centimeters of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is $15$ cms.
A remote-sensing satellite of earth revolves in a circular orbit at a height of $0.25 \times 10^6\, m$ above the surface of earth. If earth's radius is $6.38 \times 10^6$ m and $g = 9.8 \,ms^{-2}$, then the orbital speed of the satellite is
Two particles of masses m$_1$, m$_2$ move with initial velocities u$_1$ and u$_2$. On collision, one of the particles get excited to higher level, after absorbing energy $\varepsilon$. If final velocities of particles be v$_1$ and v$_2$ then we must have
A somatic cell that has just completed the S phase of its cell cycle, as compared to gamete ofthe same species, has
Arrange the following events of meiosis in a proper sequence and select the correct option. I. Terminalisation II. Crossing over III. Synapsis IV. Disjunction of genome
Decreasing order of stability of $O_2, O^-_2, O_2^+ $ and ${ O_2^{2-}}$ is :
In which of the following pairs, both the species are not isostructural ?
A gas such as carbon monoxide would be most likely to obey the ideal gas law at :
Slope of Normal to the curve $y=x^2 - \frac {1}{x^2}$ at $(-1,0)$ is
Suppose the gravitational force varies inversely as the nth power of distance. Then, the time period of a planet in circular orbit of radius R around the sun will be proportional to
Equation of line passing through the point $(2, 3, 1) $and parallel to the line of intersection of the plane $x- 2y - z + 5 = 0$ and $x + y + 3z = 6$ is
Destruction of the anterior horn cells of the spinal cord would result in loss of
Which of the following does not favour the formation of large quantities of dilute urine?
The number of water molecules is maximum in :
A conducting square frame of side 'a' and a long straight wire carrying current $I$ are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity 'V'. The emf induced in the frame will be proportional to