List of practice Questions

If a sin 45°= b cosec 30°, then the value of $\frac {a^4}{b^4}$ is

Among $[Co(CN)_4]^{4-}$, $[Co(CO)_3(NO)]$, $XeF_4$, $[PCl_4]^+$, $[PdCl_4]^{2-}$, $[ICl_4]^-$, $[Cu(CN)_4]^{3-}$, and $P_4$, the total number of species with tetrahedral geometry is:

If the longest wavelength of the spectral line of the Paschen series of $ \text{Li}^{2+} $ ion spectrum is $ x $ Å, then the longest wavelength (in Å) of the Lyman series of the hydrogen spectrum is:

A battery of 10 V and internal resistance 0.5 Ω is connected in parallel with a battery of 12 V and internal resistance 0.8 Ω. The terminals are connected by an external resistance of 20 Ω. The current flowing through the 20 Ω resistance is:

In LCR circuit total potential is 10V and L-C-R connected in series the potential on L and C are 5v and 11 v respectively find the potential drop on R.

Arrange the following compounds in increasing order of their boiling points:

$\mathrm{C_2H_5OH}$ (Ethanol)
$\mathrm{CH_3CHO}$ (Acetaldehyde)
$\mathrm{CH_3CH_2CH_3}$ (Propane)
$\mathrm{CH_3OCH_3}$ (Dimethyl ether)

"Players, umpires and commentator are performers in a Cricket match." This was laid down in:

Match the given under column

Which drug is used to relax muscles in maxillofacial surgery?

“Your Majesty, I have two wives already. If I marry you...” (The Tiger King)
No doubt it adds humour to the story. Humour always captures the mind of readers.
Taking ideas from the story {Tiger King}, write an article on the ‘Importance of Humour in Life’.
You may begin like this:
Sense of humour helps us deal with problems of life and improves one’s mental and physical health...

If $ L = 40\,\text{mH} $, $ C = 100\,\mu\text{F} $, what is the angular frequency $ \omega $ at resonance?

Given below are two statements : Statement I : The classic triad of congenital defects in “Congenital Rubella Syndrome” are deafness, cardiac malformations and cataracts. Statement II : The Rubella vaccine should be given to every pregnant woman during early pregnancy. In the light of the above statements, choose the most appropriate answer from the options given below :

A homogeneous azeotropic distillation process separates an azeotropic AB binary feed using a heavy entrainer, E, as shown in the figure. The loss of E in the two product streams is negligible so that E circulates around the process in a closed- circuit. For a distillation column with fully specified feed(s), given operating pressure, a single distillate stream and a single bottoms stream, the steady-state degrees of freedom equals 2. For the process in the figure with a fully specified AB feed stream and given column operating pressures, the steady-state degrees of freedom equals

14g of cyclopropane burnt completely in excess oxygen. The number of moles of water formed is:

Given two force vectors:
\[ \vec{F}_1 = 2\hat{i} + 3\hat{j} - \hat{k}, \quad \vec{F}_2 = \hat{i} + \hat{j} + \hat{k} \] What is the magnitude of the resultant force?

The percentage error in the measurement of mass and velocity are 3% and 4% respectively. The percentage error in the measurement of kinetic energy is:

A → P is a first order reaction. The following graph is obtained for this reaction. (x-axis = time; y-axis = conc. of A). The instantaneous rate of the reaction at point C is

Clark's formula………

$L$ is a lower triangular matrix with all Principal diagonal elements equal to 1 and $U$ is an upper triangular matrix such that \[ LU = \begin{bmatrix} 1 & 3 & 0 \\ 3 & 7 & 1 \\ 2 & 8 & 3 \end{bmatrix}, \] then the Trace of $L$ + Trace of $U$ =

For the matrix \[ \begin{bmatrix} 2 & 1 & 1 \\ 0 & 2 & 1 \\ 1 & 0 & 1 \end{bmatrix}, \] an Eigen vector among the following vectors is

What is the unit of transfer data from main memory to cache memory?

What is the postfix expression of $P + Q / R * (S - P)$?

Which one of the following is not necessarily a property of a group?

What is the minimal sum of products form of $F(A, B, C, D) = AB + \overline{A}BC + \overline{A}B\overline{C}D$?