List of practice Questions

The area of the parallelogram with $\vec{a}$ and $\vec{b}$ as adjacent sides is $20\, s \,units$. Then the area of the parallelogram having $7\vec{a} + 5\vec{b}$ and $8\vec{a} + 11\vec{b}$ as adjacent sides is
The compound which gives hydrocarbon on distillation with zinc dust is
Two identical rods of length L, mass M are riveted at right angles at their mid points Moment of inertia of the system about the perpendicular axis passing through the centre is
$\int \frac{e^{x} \left(1 +\sin x\right)}{1+\cos x}dx= $
As we move from left to right in the 3d-series elements
Ratio of maximum to minimum intensities is
The length of the subtangent to the curv $x^2y^2 = a^4$ at $(-a, a)$ is
If the eccentricity of a hyperbola is 5/3, then the eccentricity of its conjugate is
$\sin10^{\circ} +\sin 20^{\circ }+\sin 30^{\circ }+...+\sin360^{\circ } =$
The point of contact of the tangent $x + 2y + 2 = 0$ with the parabola $x^2 = 16y$ is
Following is the substitution reaction in which \(-CN\) replaces \(-Cl\)
\(R - CI + KCN \overset{\Delta}{\rightarrow} R - CN + KCI\)
To obtain propane nitrile, \(R-Cl\) should be:
Which of the two ions from the list given below, have the geometry that is explained by the same hybridisation of orbitals $NO^- _ 2 ,NO_3^- , NH_2^- , NH_4^+,SCN ^- ?$
In the circuit shown in the figure, if the potential at point $A$ is taken to be zero, the potential at point $B$ is
A particle of mass $m$ is thrown upwards from the surface of the earth, with a velocity $u$ . The mass and the radius of the earth are, respectively, $M$ and $R. G$ is gravitational constant and $g$ is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
A projectile is fired at an angle of $45^\circ$ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is
Electrons used in an electron microscope are accelerated by a voltage of $25\, kV$. If the voltage is increased to $100\, kV$ then the de-Broglie wavelength associated with the electrons would
Common cold is not cured by antibiotics because it is
In an ac circuit , an alternating voltage $e = 200 \sqrt2 \,sin \,100\, t$ volts is connected to a capacitor of capacitance $1 \,\mu \,F$. The rms value of the current in the circuit is :
Clemmensen reduction of a ketone is carried out in the presence of which of the following?
What is the value of electron gain enthalpy of $Na^+$ if $IE_1$ of $Na = 5.1 \, eV$?
Continuous addition of sugars in 'fed batch' fermentation is done to
Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is
A galvanometer of resistance, $G$ , is shunted by a resistance $S$ ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is
A particle moves in a circle of radius $5 \,cm$ with constant speed and time period $0.2 \,\pi\, s$. The acceleration of the particle is
A gaseous mixture was prepared by taking equal moles of $CO$ and $N_2.$ If the total pressure of the mixture was found $1$ atmosphere, the partial pressure of the nitrogen $(N_2)$ in the mixture is