AMIE Section A (IEB) Physics Question Paper October 2024 - ECourseFlix

Date: 17/03/2025

The Institution of Engineers, Bangladesh

AMIE SECTION "A" (OLD & NEW) EXAMINATION, OCTOBER 2024

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) State the law of equipartition of energy in Thermodynamics. 4

(b) Using the principle of equipartition of energy and degrees of freedom calculate theoretically the ratio of two specific heats for monoatomic and diatomic gases. 12

(c) Calculate the kinetic energy of hydrogen per gram-molecule at $0^{\circ}\text{C}$. $[R=8.3\times10^{7}\text{ ergs/mol-K}]$ 4

Question 2

(a) Distinguish between reversible and irreversible processes in thermodynamics. 4

(b) Define the efficiency of a heat engine and hence show that the efficiency of a carnot engine using an ideal gas is, $\eta=\frac{T_{1}-T_{2}}{T_{1}}$ where $T_{1}$ and $T_{2}$ are the temperatures of the source and the sink respectively. 12

(c) Find the efficiency of a Carnot engine working between the steam point and the ice point. 4

Question 3

(a) Define Simple harmonic motion (SHM) with examples. 4

(b) Obtain the differential equation of a SHM and hence find its solution. 12

(c) A body describe SHM has a maximum acceleration of $8\text{ ms}^{-2}$ and a maximum velocity of $1.6\text{ ms}^{-1}$. Find the period and amplitude of oscillations. 4

Question 4

(a) Distinguish between the particle velocity and wave velocity. 4

(b) Derive the differential equation of one dimensional wave equation. 12

(c) The displacement (in metres) of a particle executing SHM at any instant of time is given by, $y=0.1\sin 2\pi(340t-0.15)$ Calculate (i) the amplitude, (ii) the wave velocity, (iii) Frequency and (iv) time period. 4

Question 5

(a) Define electric field and electric potential. 4

(b) State Gauss's theorem in electrostatics. Using this theorem, derive an expression for the electric field intensity due to an infinitely long, straight wire of linear charge density $\lambda$. 12

(c) An infinite line charge produces a field of $9\times10^{4}\text{ NC}^{-1}$ at a distance of 2 cm. Calculate the linear charge density. 4

Question 6

(a) State and explain Biot-Savart law. 4

(b) If a straight metal wire of length '$l$' carrying a current '$i$' is placed at right angles to a uniform magnetic field $B$ then show that the sideways deflecting force on it is given by, $\vec{F}=i\vec{l}\times\vec{B}$ 12

(c) A wire of length 0.800 m carrying a current of 2.75 A, placed perpendicular to a uniform magnetic field, experiences a force of 2.85 N. What is the magnitude of the magnetic field where the wire is located? 4

Question 7

(a) What is the interference of light? Write down the conditions of interference. 4

(b) Describe the theory of Newton's rings and show that the radii of dark rings are proportional to the square root of natural numbers. 12

(c) In a Newton's rings experiment the diameter of the $10^{\text{th}}$ dark ring is 0.433 cm. Find the wavelength of light used, if the radius of curvature of the lens is 100 cm. 4