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Physics Resource CenterDate : 18/11/2025
The Institution of Engineers, Bangladesh
AMIE (SEC. A OLD & NEW), (SEC. A NEW_CSE) EXAMINATION, APRIL 2025
Sub : Physics
Full Marks : 100
Time : 3 Hours
The figures in the margin indicate full marks.
There are SEVEN questions in this paper. Answer any FIVE.
Question 1
(a)
4
Explain van der Waal's equation for a real gas.
(b)
12
Briefly describe the considerations which led van der Waals to his gas equation:
$$\left(P + \frac{a}{V^2}\right)(V - b) = RT$$
Discuss how far this equation is in keeping with experimental facts.
(c)
4
For carbon dioxide, it is found that if unit pressure be taken as the standard barometric pressure and unit volume as the volume at N.T.P., then $a = 0.00874$ and $b = 0.0023$. Calculate the critical temperature $T_c$ for carbon dioxide gas.
Question 2
(a)
2
Explain thermal equilibrium.
(b)
12
What is efficiency of an engine? Derive an expression for the efficiency of a Carnot engine in terms of the temperature of the source and the sink.
(c)
6
A Carnot engine is operated between two reservoirs at temperatures of $450 \text{ K}$ and $350 \text{ K}$. If the engine receives $1 \text{ kcal}$ of heat from the source in each cycle, calculate:
(i)
amount of heat rejected to the sink in each cycle, and
(ii)
efficiency of the engine.
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Question 3
(a)
5
What are coherent sources? Discuss why two independent sources of light of the same wavelength cannot produce interference fringes.
(b)
11
Describe Young's double-slit experiment and derive an expression for:
(i)
intensity at a point on the screen, and
(ii)
fringe-width.
(c)
4
In a double-slit experiment, the separation between the slits is $2.5 \text{ mm}$ and the distance of the screen from the slits is $50 \text{ cm}$. If the arrangement is illuminated with sodium light of wavelength $5890 \text{Å}$, calculate:
(i)
the angular position of the first maxima, and
(ii)
the linear separation between two adjacent minima.
Question 4
(a)
2
Define Lissajous figures.
(b)
12
Derive a general expression for the resultant vibration of a particle simultaneously acted upon by two mutually perpendicular simple harmonic vibrations, having the same time period but different amplitudes and phase angles. What happens if the phase difference is:
(i)
$0$,
(ii)
$\frac{\pi}{4}$, and
(iii)
$\pi$ radians?
(c)
6
A particle executes simple harmonic motion given by the equation:
$$y = 12 \sin\left(\frac{2\pi t}{10} + \frac{\pi}{4}\right)$$
Calculate:
(i)
amplitude,
(ii)
frequency, and
(iii)
displacement at $t = 1.25\text{ sec}$.
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Question 5
(a)
4
Distinguish between particle velocity and wave velocity.
(b)
10
Derive the differential equation of a one-dimensional wave.
(c)
6
The displacement (in metres) of a particle executing simple harmonic wave motion at any instant of time is given by:
$$y = 0.1 \sin 2\pi(340t - 0.15x)$$
Calculate:
(i)
wave velocity,
(ii)
wavelength, and
(iii)
frequency.
Question 6
(a)
4
Define electric flux. Give an expression for the flux in an electric field.
(b)
12
State and prove Gauss's law of electrostatics. Using this theorem, derive an expression for the electric field at a point due to an infinite plane sheet of charge.
(c)
4
Consider portions of two large sheets of charge with uniform surface charge densities $\sigma_+ = +6.8\text{ }\mu\text{C/m}^2$ and $\sigma_- = -4.3\text{ }\mu\text{C/m}^2$. Find the electric field $E$ of these two sheets.
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Question 7
(a)
4
State and explain Ohm's law.
(b)
10
Explain the terms 'current density' and 'drift velocity' of electrons inside a conductor. Show that the current density is given by $j = -n e v_d$.
(c)
6
A current of $3.0\text{ A}$ flows down a straight metal rod that has a $0.20\text{ cm}$ diameter. The rod is $1.5\text{ m}$ long and the potential difference between its ends is $40\text{ V}$. Find:
(i)
current density,
(ii)
field in the rod, and
(iii)
resistivity of the material of the rod.
AMIE Section A Physics Exam Question Paper April 2025 | IEB Bangladesh
Reviewed by BD Study Room
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May 19, 2026
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Reviewed by BD Study Room
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May 19, 2026
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