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questions
List of practice Questions
Amongst the following, the correct sequence of drives from main shaft to bobbins in a roving frame is
GATE TF - 2025
GATE TF
Textile Engineering and Fibre Science
Textiles
For dyeing of a polyester/cotton blended fabric in solid shade, the correct combination of dyes is:
GATE TF - 2025
GATE TF
Textile Engineering and Fibre Science
Textiles
The value of \( \alpha \) for which the Euler method with step size \( h = 0.1 \) provides \( y(1.1) = 1.2 \) for the following initial value problem is
\[ \frac{dy}{dx} = -2xy^\alpha, \quad y(1) = 2 \]
GATE TF - 2025
GATE TF
Engineering Mathematics
Numerical Methods
If
$ n(A) = 7 $ and the number of relations from A to B is 128. Then find } $ n(B) $.
KEAM - 2025
KEAM
Mathematics
Set Theory
The transition of an atom from $ n = \infty $ to $ n = 3 $ represents:
KEAM - 2025
KEAM
Physics
Atomic Spectra
The ratio of the wavelength of two particles with energy $ E $ and $ 3E $ respectively, is:
KEAM - 2025
KEAM
Physics
de broglie hypothesis
The ratio of angular velocity of two satellites at a distance $ r $ and $ 2r $ from the centre of the earth is:
KEAM - 2025
KEAM
Physics
Satellite Motion and Angular Momentum
When a rectangular coil having length $ l $ and breadth $ b $ are placed perpendicular to the magnetic field. The torque experienced by the coil is:
KEAM - 2025
KEAM
Physics
Magnetic Effects of Current and Magnetism
The dimensional formula of product of moment of inertia and square of angular velocity is:
KEAM - 2025
KEAM
Physics
Dimensional Analysis
The ratio of distance of the sun from the earth to that of the moon from the earth is in the order:
KEAM - 2025
KEAM
Physics
Units and measurement
The wavelength of body radiation having maximum energy is $ \lambda_m $ at temperature $ T $. If the wavelength of radiation corresponds to maximum energy is $ \frac{\lambda}{3} $, then temperature is:
KEAM - 2025
KEAM
Physics
Thermal Expansion
If Young's modulus and densities are in the ratio 3:2 and 3:1 respectively, the ratio of velocity of sound is:
KEAM - 2025
KEAM
Physics
Sound Wave
Three identical resistors are connected as triangle ABC. Voltage across AB = 12V. Find the ratio of current through AB to ACB:
KEAM - 2025
KEAM
Physics
Electrical Instruments
Formula of chromium ore?
KEAM - 2025
KEAM
Chemistry
Inorganic chemistry
Bromomethane on reaction with Na and dry ether gives:
KEAM - 2025
KEAM
Chemistry
Organic Chemistry
Which of the following are neutral?
KEAM - 2025
KEAM
Chemistry
carbonyl compounds
What is incorrect for Bond order?
KEAM - 2025
KEAM
Chemistry
Chemical bonding and molecular structure
Which has a higher boiling point ?
KEAM - 2025
KEAM
Chemistry
Melting and Boiling point
Given
$ Z_1 = \frac{1}{2} + \frac{\sqrt{3}}{2}i, \quad Z_2 = -\frac{1}{2} - \frac{\sqrt{3}}{2}i, \quad \text{and} \quad w = Z_1 + Z_2, \quad \text{find} \, w. $
KEAM - 2025
KEAM
Mathematics
Complex numbers
Evaluate the expression
$ \frac{3 \tan 15^\circ - \tan 3 \times 15^\circ}{1 - 3 \tan^2 15^\circ} $
KEAM - 2025
KEAM
Mathematics
Trigonometry
Find the half-life of a first order reaction if
$ K = 2.31 \times 10^5 \, \text{s}^{-1} $.
KEAM - 2025
KEAM
Chemistry
Chemical Kinetics
Which complex has dsp$^2$ hybridisation?
KEAM - 2025
KEAM
Chemistry
coordination compounds
What is the hydration enthalpy of sucrose?
KEAM - 2025
KEAM
Chemistry
Thermodynamics
Find the log $ K $ value, if $ \Delta G = -11.4 $ and $ 2.303 \cdot RT = 5.7 \times 10^1 $.
KEAM - 2025
KEAM
Chemistry
Thermodynamics
If ABCD is a rectangle, $ AB = 5i + 4j - 3k $ and $ AD = 3i + 2j - k $, then find $ BD $.
KEAM - 2025
KEAM
Mathematics
Vector Algebra
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