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IIT JAM
List of top Questions asked in IIT JAM
A square laminar sheet with side a and mass M, has mass per unit area given by
\(\sigma(x)=\sigma_0[1-\frac{x}{a}]\)
, (see figure). Moment of inertia of the sheet about y-axis is
IIT JAM - 2022
IIT JAM
Physics
Mathematical Methods
A uniform magnetic field
\(\overrightarrow{B}=B_0\hat{z}\)
, where
\(B_0\gt0\)
exists as shown in the figure. A charged particle of mass m and charge
\(q(q\gt0)\)
is released at the origin, in the yz-plane, with a velocity
\(\overrightarrow v\)
directed at an angle
\(\theta\)
= 45° with respect to the positive z-axis. Ignoring gravity, which one of the following is TRUE.
IIT JAM - 2022
IIT JAM
Physics
Magnetism and Maxwell's Equations
An ideal gas in equilibrium at temperature T expands isothermally to twice its initial volume. If ΔS, ΔU and ΔF denote the changes in its entropy, internal energy and Helmholtz free energy respectively, then
IIT JAM - 2022
IIT JAM
Physics
Thermodynamics
Consider a binary number with m digits, where m is an even number. This binary number has alternating 1's and 0's, with digit 1 in the highest place value. The decimal equivalent of this binary number is
IIT JAM - 2022
IIT JAM
Physics
Mathematical Methods
For an ideal intrinsic semiconductor, the Fermi energy at 0 K
IIT JAM - 2022
IIT JAM
Physics
Solid State Physics, Devices, Electronics
In a dilute gas, the number of molecules with free path length ≥ x is given by N(x) = N
0
e
-x/λ
, where N
0
is the total number of molecules and A is the mean free path. The fraction of molecules with free path lengths between λ and 2λ is
IIT JAM - 2022
IIT JAM
Physics
kinetic theory
The current through a series RL circuit, subjected to a constant emf
\(\epsilon\)
, obeys
\(L\frac{di}{dt}+iR=\epsilon\)
. Let L=1mH, R=1k
\(\Omega\)
and
\(\epsilon\)
=1V. The initial condition is i(0)=0. At t=1
\(\mu s\)
, the current in mA is
IIT JAM - 2022
IIT JAM
Physics
Electricity
The dispersion relation for certain type of waves is given by
\(\omega=\sqrt{k^2+a^2}\)
, where k is the wave vector and a is a constant. Which one of the following sketches represents v
g
, the group velocity?
IIT JAM - 2022
IIT JAM
Physics
Wave optics
The function f(x) = e
sinx
is expanded as a Taylor series in x, around x = 0, in the form f(x) =
\(\sum^{\infin}_{n=0}a_nx^n\)
. The value of a
0
+ a
1
+ a
2
is
IIT JAM - 2022
IIT JAM
Physics
Mathematical Methods
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