List of practice Questions

If $\cos \alpha + 2 \cos \beta + 3 \cos \gamma = 0,\sin \alpha + 2 \sin \beta + 3 \sin \gamma = 0 $ and $ \alpha + \beta + \gamma = \pi, $ then $ \sin 3\alpha + 8 \sin 3\beta + 27 \sin 3\gamma$ =

Which one of the following is NOT formed when a mixture of methyl bromide and bromo benzene is heated with sodium metal in the presence of dry ether ?

Which of the following is NOT a characteristic of a covalent compound?

A monochromatic beam of light is travelling from medium $A$ of refractive index $n_1$ to a medium $B$ of refractive index $n_2$. In the medium $A$, there are $x$ number of waves in certain distance. In the medium $B$, there are $y$ number of waves in the same distance. Then, refractive index of medium $A$ with respect to medium $B$ is

Spectrum of sunlight is an example for

A person throws balls into air vertically upward in regular intervals of time of one second. The next ball is thrown when the velocity of the ball thrown earlier becomes zero. The height to which the balls rise is (Assume $g\, =\, 10\,ms^{-2})$

In Young's double slit experiment, fringes of width $\beta$ are produced on a screen kept at a distance of 1 m from the slit. When the screen is moved away by $5 \times 10^{-2}$ m, fringe width changes by $3 \times10^{-5}$ m. The separation between the slits is $1 \times10^{-3} m$. The wavelength of the light used is

A square loop, carrying a steady current $I$, is placed in horizontal plane near a long straight conductor carrying a steady current $I_{1}$ at a distance $d$ from the conductor as shown in figure. The loop will experience

A parallel plate capacitor has capacitance $C$. If it is equally filled the parallel layers of materials of dielectric constant $K_1$ and $K_2$ its capacity becomes $C_1$. The ratio of $C_1 $ and $C$ is

The potential of a large liquid drop when eight liquid drops are combined is 20 V. Then the potential of each single drop was

The pressure exerted by $6.0 \,g$ of methane gas in a $0.03\, m ^{3}$ vessel at $129^{\circ} \,C$ is (Atomic masses: $C =12.01, \,H =1.01$ and $\left.R=8.314\, JK ^{-1} \,mol ^{-1}\right)$

The kinetic energy of an electron get tripled then the de-Broglie wavelength associated with it changes by a factor

The reaction, $2 A(g)+B(g) \rightleftharpoons 3 C(g)+D(g)$ is begun with the concentrations of $A$ and $B$ both at an initial value of $1.00\, M .$ When equilibrium is reached, the concentration of $D$ is measured and found to be $0.25\, M$. The value for the equilibrium constant for this reaction is given by the expression

If $\vec {a} = \hat {i} + \hat{j} + \hat{k}$, $\vec {b} = \vec {i} + 3\vec {j} + 5\hat{k}$ and $\vec {c} = 7\hat{i} + 9\hat {j} + 11 \hat{k}$, then the area of Parallelogram having diagonals $\vec{a} +\vec{b}$ and $\vec{b} +\vec{c}$ is

In a common emitter amplifier the input signal is applied across

Some statements about heavy water are given below. (i) Heavy water is used as moderator in nuclear reactors (ii) Heavy water is more associated than ordinary water (iii) Heavy water is more effective solvent than ordinary water Which of the above statements are correct?

In hydrogen a atom, an electron is revolving in the orbit of radius $0.53\,�$ with $6.6 \times 10^{15}$ radiations/s. Magnetic field produced at the centre of the orbit is

In photoelectric emission process from a metal of work function $1.8 \,eV,$ the kinetic energy of most energetic electrons is $0.5 \,eV$. The corresponding stopping potential is

In the figure shown, the magnetic field induction as the point $O$ will be

Some of the properties of the two species, $NO _{3}^{-}$and $H _{3} O ^{+}$are described below. Which one of them is correct?

The order of reactivity of phenyl magnesium bromide $(PhMgBr)$ with the following compounds

If $a , b$ and $c$ are three non-coplanar vectors and $p , q$ and $r$ are vectors defined by $p =\frac{ b \times c }{[ a b c ]}, q =\frac{ c \times a }{[ a b c ]}$ and $r =\frac{ a \times b }{[ a b c ]}$, then the value of $( a + b ) \cdot p +( b + c ) \cdot q +( c + a ) \cdot r$ is equal to

$ pH $ of a saturated solution of $ Ba(OH)_2 $ is $12$ . The value of solubility product $ K_({sp} )$ of $ Ba(OH)_2 $ is

The correct set of four quantum numbers for the outermost electron of sodium ($Z = 11$) is

The carbon-carbon bond distance in benzene is