List of practice Questions

The equation of the curve passing through the point $\left(a, -\frac{1}{a}\right)$ and satisfying the differential equation $y-x \frac{dy}{dx}=a\left(y^{2}+\frac{dy}{dx}\right)$ is
If $a_{1}, a_{2}, a_{3}, \ldots, a_{n}$ are in A.P. where $a_{i}>0$ for all $i$, then $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\ldots .+$ $\frac{1}{\sqrt{a_{n-1}}+\sqrt{a_{n}}}$ is?
Consider $\frac{x}{2}+\frac{y}{4} \ge1,$ and $\frac{x}{3}+\frac{y}{4} \le1, x, y \ge0.$ Then number of possible solutions are :
Which one is classified as a condensation polymer?
Which of the following has zero net dipole moment?
Mole fraction of the solute in a $1.00$ molal aqueous solution is
The angular speed of the electron in the $n^{th}$ orbit of Bohr hydrogen atom is
The electronic configuration of $Eu$ (Atomic $No. 63$), $Gd$ (Atomic $No. 64$) and $Tb$ (Atomic $No. 65$) are :
Net cell reaction of $Pt \left| H _{2}(640\, mm )\right| HCl \left| H _{2}(510\, mm )\right| Pt$.
$aK _{2} Cr _{2} O _{7}+ bKCl + cH _{2} SO _{4} \longrightarrow xCrO _{2} Cl _{2}+ yKHSO _{4}+ zH _{2} O$ The above equation balances when
Glycine in alkaline solution exists as______and migrates to__________.
The time period of a satellite of earth is $5$ hours. If the separation between the earth and the satellite is increased to $4$ times the previous value, the new time period will become
The ratio of the specific heats $\frac{C_{P}}{C_{V}}=\gamma$ in terms of degrees of freedom (n) is given by
If $\vec{E}$ and $\vec{B}$ are the electric and magnetic field vectors of e.m. waves then the direction of propagation of e.m. wave is along the direction of
A force of $2\hat{i}+3\hat{j}+4\hat{k}$ $N$ acts on a body for $4$ second, produces a displacement of $\left(3\hat{i}+4\hat{j}+5\hat{k}\right)$$m$. The power used is
The young's modulus of a wire of length $L$ and radius $r$ is $Y$ $N/m^{2}$. If the length and radius are reduced to $L/2$ and $r/2$, then its young's modulus will be
A man drags a block through $10\, m$ on rough surface $(\mu = 0.5)$. A force of $\sqrt{3}$ kN acting at $30^{\circ}$ to the horizontal. The work done by applied force is
A brick of mass $2\, kg$ slides down an incline of height 5m and angle $30^{\circ}$. If the coefficient of friction of the incline is $\frac{1}{ 2 \sqrt{3}}$ , the velocity of the block at the bottom of the incline is (Assume the acceleration due to gravity is $10\, m/s^2$)
The amplitude of a damped oscillator becomes $\left(\frac{1}{3}\right)rd$ in $2$ seconds. If its amplitude after $6$ seconds is $\frac{1}{n}$ times the original amplitude, the value of $n$ is
With the increase in temperature, the angle of contact
In the clathrates of xenon with water, the nature of bonding between xenon and water molecule is
Which of the following element has the highest ionisation enthalpy?
Kepler?? second law regarding constancy of areal velocity of a planet is a consequence of the law of conservation of
Two bodies $A$ and $B$ are placed in an evacuated vessel maintained at a temperature of $27^{\circ} C$. The temperature of $A$ is $327^{\circ} C$ and that of $B$ is $227^{\circ} C$. The ratio of heat loss from $A$ and $B$ is about
If equilibrium constant is 2.6×108 then find the value of ΔG°.