List of practice Questions

In a meter bridge experiment, a resistance of 9 Ω is connected in the left gap and an unknown resistance greater than 9 Ω is connected in the right gap. If the resistance in the gaps are interchanged, the balancing point shifts by 10 cm. The unknown resistance is:
The angle made by the resultant vector of two vectors \( 2\hat{i} + 3\hat{j} + 4\hat{k} \) and \( 2\hat{i} - 7\hat{j} - 4\hat{k} \) with the x-axis is:
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
homogeneous azeotropic distillation process
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
first order reaction
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?