List of practice Questions

Hybridization of $C_2$ and $C_3$ of $H_3C - CH = C = CH - CH_3$ are
If the Earth were to suddenly contract to $\frac{1}{n}$ th of its present radius without any change in its mass, the duration of the new day will be nearly
If $ I_{1}=\int_{0}^{\frac{\pi}{2}} f (sin \,2x)sin \,xdx $ and $ I_2 = \int^{\pi/4}_{0}\,f(cos2x) cosx \,dx\,then\, I_1/I_2 $ =
Among the following compounds, the most acidic is
Find the number of stereoisomers of 1,2-dihydroxy cyclopentane.
An SHM is given by $y = 5 [\sin (3 \pi t) + \sqrt{3} \cos (3 \pi t)] $ What is the amplitude of the motion of $y$ in metre?
: Both Grignard reagent and dialkyl cadmium react with acid chlorides to form tert-alcohols. : Grignard reagents are as reactive as dialkyl cadmium.
$ \int\limits_0^{\pi /8} \tan^2 (2x) dx = $
The feature of the xerophytic plant leaves is (I) Leathery surface (II) Large surface area (III) Waxy cuticle (IV) Sunken stomata on upper epidermis
A circular disc is to be made by using iron and aluminium, so that it aquires momentum of inertia about its geometrical axis. It is possible with
A particle is moving with a constant speed $v$ in a circle. What is the magnitude of average velocity after half rotation ?
A material has Poisson?s ratio $0.50$. If a uniform rod of it suffers a longitudinal strain of $2 ? 10^{-3}$, then the percentage change in volume is
Four charges equal to $-Q$ are placed at the four corners of a square and a charge $q$ is at its centre. lf the system is in equilibrium, the value of $q$ is
Which of the following graphs represents the gravitational field intensity due to solid sphere of radius $ R $ ?
If a graph is plotted between $T^2$ and $r^3$ for a planet, then its slope will be (where $M_S$ is the mass of the sun)
In the given structure of a compound, the correct various bond moments direction involving are shown as
: A catalyst increases the rate of a reaction. : In presence of a catalyst, the activation energy of the reaction decreases.
Block A of mass 4 kg and block B of mass 6 kg are resting on a horizontal surface as shown in the figure. There is no friction between the block B and the horizontal surface. The coefficient of friction between the blocks is 0.2. If the value of $ g=10\,m/{{s}^{2}}, $ the maximum horizontal force F that can be applied on block B without any relative motion between A and B is
The excess pressure inside a soap bubble A is twice that in another soap bubble B. The ratio of volumes of A and B is
A closely wound solenoid $80 \,cm$ long has $5$ layers of winding of $400$ turns each. The diameter of the solenoid is $1.8\, cm$. If the current carried is $8.0\, A$, the magnitude of $B$ inside the solenoid near its centre will be
Ureters act as urinogenital ducts in
In the circuit shown, the currents $i_1$ and $i_2$ are
A $1.0\, m$ long metallic rod is rotated with an angular frequency of $400 \,rad /s$ about an axis normal to the rod passing through its one end. A constant and uniform magnetic field of $0.5\, T$ parallel to the axis exists everywhere. The emf developed across the ends of the rod is
The bond order of $ C_2$ molecule is
A value of $b$ for which the equations $x^2+bx-1=0,x^2+x+b=0$ have one root in common is