List of practice Questions

A particle acted upon by constant forces $( 4\hat{i}+\hat{j}-3\hat{k} )$ and $( 3\hat{i}+\hat{j}-\hat{k} )$ is displaced from the point $( \hat{i}+2\hat{j}+3\hat{k} )$ to the, point $ (5\hat{i}+4\hat{j}+\hat{k} )$ . The total work done by the forces in $SI$ unit is
A particle starts from rest at $ t=0 $ and moves in a straight line with an acceleration as shown in figure. The velocity of the particle at $ t=3\text{ }s $ is
The hardest lanthanide element is
Half-lives of a first order and a zero order reactions are same. Then, the ratio of the initial rates of first order reaction to that of the zero order reaction is
Identify the combination of compounds that undergo Aldol condensation followed by dehydration to produce but-$2$-enal
In a polysaccharide, the individual monosaccharides are linked by a:
In Young?s double slit experiment, to increase the fringe width
Light travels in two media $A$ and $B$ with speeds $1.8 \times 10^8 ms^{-1}$ and $ 2.4 \times 10^8 ms^{-1}$ respectively. Then the critical angle between them is
The principle of superposition is basic to the phenomenon of
When 200 mL of aqueous solution of $ HCl $ (pH = 2) is mixed with 300 mL of an aqueous solution of NaOH (pH = 12), the pH of the resulting mixture is
Which one of the following is not a statement?
The decreasing order of boiling points of alkyl halides is
The number of primary, secondary, tertiary and quaternary carbons in neopentane are respectively
In aqueous solution, an amino acid exists as
In a first order reaction 80% of the reactant at an instant was reduced to 8% in 4606 seconds. The rate constant of the reaction is
The electronegativities of $N, C, Si$ and P are in the order
Lactose is made of
The artificial sweetener containing chlorine that has the appearance and taste as that of sugar and stable at cooking temperature is
Three elements x, y and z have the respective oxidation states -2, +3 and -1 which one of the following could be possible formula of the compound form by these elements ?
A simple pendulum is taken from the equator to the pole. lts period
Two wires $A$ and $B$ of same material and of equal length with the radii in the ratio $1 : 2$ are subjected to identical loads. If the length of $A$ increases by $8\, mm$, then the increase in length of $B$ is
In the measurement of the angle of a prism using a spectrometer, the readings of first reflected image are Vernier $I : 320^\circ 40';$ Vernier $ II : 140^\circ 30' $ and those of the second reflected image are Vernier $ I : 80^\circ 38'; $ Vernier $ II : 260^\circ 24'.$ Then the angle of the prism is
The electrical conductivity of an intrinsic semiconductor at 0K is
Total number of degrees of freedom of a rigid diatomic molecule is
Pick out the correct statement in the following with reference to stationary wave pattern