List of practice Questions

The given figure gives electric lines of force due to two charges $ q_{1}$ and $q_{2}$ . What are the signs of the two charges?

If the electron in a hydrogen atom jumps from an orbit with level $n_{1} =2$ to an orbit with level $n_{2} =1$ the emitted radiation has a wavelength given by

If$\vec{a}+2\vec{b}+3\vec{c}=\vec{0}$ then $\vec{a} \times \vec{b}+\vec{b} \times \,\vec{c}+\vec{c} \times \vec{a} $ =

If $x$ is numerically so small so that $x^{2}$ and higher powers of $x$ can be neglected, then $\left(1+\frac{2 x}{3}\right)^{3 / 2} \cdot(32+5 x)^{-1 / 5}$ is approximately equal to

Lattice energy of an ionic compound depends upon

$\frac{1}{e^{3 x}}\left(e^{x}+e^{5 x}\right)=a_{0}+a_{1} x +a_{2} x^{2}+\ldots$ $\Rightarrow 2 a_{1}+2^{3} a_{3}+2^{5} a_{5}+\ldots$ is equal to

The coefficient of $x^{24}$ in the expansion of $\left(1+x^{2}\right)^{12}\left(1+x^{12}\right)\left(1+x^{24}\right)$ is

The roots of $(x-a)(x-a-1)+(x-a-1)(x-a-2) +(x-a)(x-a-2)=0, a \in R$ are always

Atomic mass of $ {{^{13}}_{6}}C $ is 13.00335 amu and its ea-s number is 13.0. If 1 amu = 931 MeV, binding energy of the neutrons present in the nucleus is

For a first order reaction at 27$^{\circ}$C, the ratio of time required for 75% completion to 25% completion of reaction is

The dissociation constants for acetic acid and $HCN$ at $25^{\circ} C$ are $1.5 \times 10^{-5}$ and $4.5 \times 10^{-10}$ respectively. The equilibrium constant for the equilibrium $CN ^{-}+ CH _{3} COOH \rightleftharpoons HCN + CH _{3} COO ^{-}$ would be :

Which one of the elements with the following outer orbital configurations may exhibit the largest number of oxidation states?

A glass slab of thickness 8 cm contains the same number of waves as 10 cm long path of water when both are traversed by the same monochromatic light. If the refractive index of water is $ \frac{4}{3} $ , the refractive index of glass is

The main difference between formic acid and acetic acid is that formic acid is

If $A$ and $B$ are square matrices of the same order such that $(A + B) (A -B) = A^2-B^2$ then $(ABA^{-1} )^2=$

Compared to blood our lymph has

The negation of $p{\land}(q \to \sim r)$ is

A bar magnet having a magnetic movement of $2 \times 10^{4} JT ^{-1}$ is free to rotate in a horizontal plane. A horizontal magnetic field $B =6 \times 10^{-4}$ T exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction $60^{\circ}$ from the field is :

Which one of the following is the correct matching of the events occurring during menstrual cycle?

Adipic acid is used in the preparation of

Which one of the following is the correct quadratic form of the Ostwald's dilution law equation?

When the cold and hot junctions of a thermocouple are interchanged, the thermo emf

The characteristic not related to alkali metal is

The one which decreases with dilution is

The ore that is concentrated by Froth Floatation process is