List of practice Questions

$200 \,mL$ of an aqueous solution of a protein contains its $1.26\, g$. The Osmotic pressure of this solution at $300\, K$ is found to be $2.57 \times 10^{-3}$ bar. The molar mass of protein will be ($R = 0.083 \, L\, bar\, mol^{-1} \, K^{-1}$):

The complexes $[Co(NH_3)_6][Cr(CN)_6]$ and $[Cr(NH_3)_6][Co(CN)_6]$ are the examples of which type of isomerism?

The complex, $[Pt(Py)(NH_3)Br\,Cl]$ will have how many geometrical isomers?

Standard electrode potential of three metals $X, Y $ and $Z$ are $-1.2\,V, + 0.5\,V$ and $-3.0\,V $respectively. The reducing power of these metals will be

The correct order of increasing bond length of $ C - H, C - O, C - C$ and $ C = C $ is

The pairs of species of oxygen and their magnetic behaviours are noted below. Which of the following presents the correct description ?

According to the Bohr Theory, which of the following transitions in the hydrogen atom will give rise to the least energetic photon?

A bubble of air is underwater at temperature $15^{\circ}C$ and the pressure $1.5 \,bar$. If the bubble rises to the surface where the temperature is $25^{\circ}C$ and the pressure is $1.0\, bar$, what will happen to the volume of the bubble?

A 0.1 molal aqueous solution of a weak acid is 30% ionized. If $K_f$ for water is $ 1.86^{\circ} C/m$, the freezing point of the solution will be -

A biconvex lens has a radius of curvature of magnitude $20\, cm$. Which one of the following options describe best the image formed of an object of height $2 \,cm$ placed $30\, cm$ from the lens?

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

The potential energy of a system increases if work is done

A mass $m$ moving horizontally (along the $x-axis)$ with velocity $v$ collides and sticks to a mass of $3m$ moving vertically upward (along the $y$ -axis) with velocity $2\,v$. The final velocity of the combination is

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

Two waves are represented by the equations $y_1 = a \sin(\omega t + kx + 0.57) m $ and $y_2 = a \cos(\omega t + kx) m,$ where $x$ is in meter and $t$ in sec. The phase difference between them is

Three charges, each $+q$, are placed a at the corners of an isosceles triangle $ABC$ of sides $BC$ and $AC$, $2a$. $D$ and $E$ are the mid points of $BC$ and $CA$. The work done in taking a charge $Q$ from $D$ to $E$ is

A body is moving with velocity $30\, ms$ towards east After 10 s its velocity becomes $40 \,ms$ towards north. The average acceleration of the body is

A boy standing at the top of a tower of $20\,m$ height drops a stone. Assuming $g = 10\, ms^{-2},$ the velocity with which it hits the ground is

A coil has resistance $30$ ohm and inductive reactance $20$ ohm at $50 \,Hz$ frequency. If an ac source, of $200$ volt, $100\, Hz$, is connected across the coil, the current in the coil will be

A missile is fired for maximum range with an initial velocity of $20\, m/s$. If $g = 10 \,m/s^2$, the range of the missile is

A large proportion of oxygen is left unused in the human blood even after its uptakes by the body tissues. This $O _{2}$ :

A solution contains ${Fe^{2+}, Fe^{3+}}$ and $I^-$ ions. This solution was treated with iodine at ${ 35^{\circ} C. E^{\circ}}$ for ${Fe^{3+} /Fe^{2+}}$ is $+0.77 \, V$ and $E^{\circ}$ for $I_2/2I^- = 0.536 \, V.$ The favourable redox reaction is-

Two identical piano wires, kept under the same tension $T$ have a fundamental frequency of $600 \,Hz$. The fractional increase in the tension of one of the wires which will lead to occurrence of $6 $ beat's when both the wires oscillate together would be

An organism used as a biofertilizer for raising soyabean crop is