List of practice Questions

In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

The reverse side of a three-pin plug with incorrect connection of wires is shown in the diagram below.
(a) Identify the fault in the above connection.
(b) Mention a risk factor involved, if the user operates the appliance with correcting it.
(c) Will the appliance function in the present situation? (Yes or No)

The wave numbers of three spectral lines of hydrogen atom are considered. Identify the set of spectral lines belonging to the {Balmer series. (\(R\) = Rydberg constant)}

\(6 \int_{0}^{\pi} (\sin 3x + \sin 2x + \sin x)dx\) is equal to:

\(0.53\ \text{g}\) of an organic compound \(X\) when heated with excess concentrated nitric acid and then with silver nitrate gave \(0.75\ \text{g}\) of silver bromide precipitate. \(1.0\ \text{g}\) of \(X\) gave \(1.32\ \text{g}\) of \(\mathrm{CO_2}\) on combustion. Find the percentage of hydrogen in compound \(X\). (Nearest integer) [Given: Atomic masses (g mol\(^{-1}\)): H = 1, C = 12, Br = 80, Ag = 108, O = 16]

Let \[ f(x)=x^{2025}-x^{2000},\quad x\in[0,1] \] and the minimum value of the function $f(x)$ in the interval $[0,1]$ be \[ (80)^{80}(n)^{-81}. \] Then $n$ is equal to

Write a program to accept the designations of 100 employees in a single dimensional array. Accept the designation from the user and print the total number of employees with the designation given by the user as input.

Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as shown in figure. The energy stored in A is E. The energy stored in B, when spring constants \(k_A, k_B\) of A and B, respectively satisfy the relation \(4k_A = 3k_B\), is :

A conducting circular loop of area 1.0 m\(^2\) is placed perpendicular to a magnetic field which varies as B = sin(100t) Tesla. If the resistance of the loop is 100 \(\Omega\), then the average thermal energy dissipated in the loop in one period is_________ J.

Let the arithmetic mean of \(\frac{1}{a}\) and \(\frac{1}{b}\) be \(\frac{5}{16}\), where \(a>2\). If \(a,4,b\) are in A.P., then the equation \[ ax^2-ax+2(a-2b)=0 \] has:

The sum of all the roots of the equation \((x-1)^2 - 5|x-1| + 6 = 0\), is:

A child of which age is called a toddler and how was this term derived?

Which of the following is \underline{NOT an access specifier?}

The value of \[ \sum_{k=1}^{\infty} (-1)^{k+1}\left(\frac{k(k+1)}{k!}\right) \] is:

The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are \( 2, 3, 5, 10, 11, 13, 15, 21 \), then the mean deviation about the median of all the 10 observations is:

State any four functions performed by middle level managers.

Explain any four points of importance of controlling function of management.

Explain any four personal barriers of communication.

Explain the following steps in the process of planning :
(i) Setting objectives
(ii) Developing premises
(iii) Identifying alternative courses of action

Explain the following points of importance of decentralisation :
(i) Quick decision making
(ii) Develops initiative among subordinates
(iii) Relief to top management

Explain the following points of importance of organising :
(i) Clarity in working relationships
(ii) Optimum utilisation of resources
(iii) Adaptation to change

Right of an individual to command his subordinates and to take action within the scope of his position is known as ________.

Differentiate between ‘Capital Market’ and ‘Money Market’ on the basis of the following :
(i) Participants
(ii) Instruments
(iii) Duration