List of practice Questions

If $\begin{vmatrix} {1+\sin^2}&{\cos^2 \theta } &{4\sin 2\theta}\\ {\sin^2}&{1+\cos^2}& {4\sin2\theta} \\ {\sin^2\theta}&{\cos^2\theta}&{4\sin2\theta-1}\\ \end{vmatrix} =0 $ and $ 0< \theta
If$\vec{a}.\vec{b}\, = \,- |\vec{a}| \, |\vec{b}|$ then the angle between $\vec{a}$ and $ \vec{b}$ is
If the volume of the parallelopiped with $ \vec{a},\vec{b} $ and $ \vec{c}$ as coterminous edges is $40 \,cubic$ units, then the volume of the parallelopiped having $ \vec{b}+\vec{c} , \vec{c}+ \vec{a} $ and $ \vec{a}+ \vec{b}$ as coterminous edges in cubic units is
$1^{st}$ polar body is formed at which stage of oogenesis?
A cell when kept in sugar solution, gets dehydrated/reduced in size. Then the solution is
If energy E, velocity v and time T are taken as fundamental quantities, the dimensional formula for surface tension is
In the case of peppered moth (Biston betularia) the black-coloured form became dominant over the light-coloured form in England during industrial revolution. This is an example of
A dominant gametophytic phase alternated by multicellular dependent sporophytic phase is represented by
See the electrical circuit shown in this figure. Which of the following equations is a correct equation for it ?
Which of the following is a symbiotic nitrogen fixer?
$ \, if \, I_ n = \int^{\pi}_{ -\pi} \frac { \sin \, n \, x }{ ( 1 + \pi ^x ) \sin \, x } dx , \, n = 0 , 1 , 2 , .............., then $
In an experiment of Wheatstone bridge, a null point is obtained at the centre of the bridge wire. When a resistance of $10 \, \Omega $ is connected in one gap, the value of resistance in other gap is
If the acceleration-displacement graph of simple harmonic motion of a particle is given, then the time period of the particle will be
Among the following, the compound that contains ionic, covalent and coordinate linkage is
The enthalpy of formation of $NH_3$ is $- 4 6\, kJ \, mol^{-1}$. The enthalpy change for the reaction : $2 NH _{3}(g) \longrightarrow N _{2}(g)+3 H _{2}(g)$ is
The magnetic Lorentz force experienced by a charge q, entering a magnetic field B with a velocity v is
Which of the following prevents the conversion of prothrombin to thrombin in an undamaged blood vessel ?
The foot of the perpendicular from the point $(2, 4)$ upon $x + y = 4$ is
The r.m.s. velocity of molecules of a gas of density $4 \,kg \,m^{-3}$ and pressure $1.2 \times10^{5} Nm^{-2}$ is
The magnifying power of telescope is high if
$1$ mole of photon, each of frequency $2500\,s^{-1},$ would have approximately a total energy of :
Which one of the following is called a carbylamine?
For any complex number $z$, the minimum value of $\left|z\right|+\left|z-1\right|$ is
If angle of incidence is twice the angle of refraction in a medium of refractive index $ \mu $ , then angle of incidence is
The volume of $ 2 \,N\, H_2SO_4 $ solution is $ 0.1 \,dm^3 $ . The volume of its decinormal solution (in $ dm^3 $ ) will be