List of practice Questions

Integrating factor of \[ \frac{dy}{dx} - 2y = 2x - 3 \]
A first-order reaction is 75 percent completed in 6000s. What is the half-life?
Total number of orbitals when \( n = 3 \)?
Nitrogen base not present in DNA:
Alkali metal with highest first ionization enthalpy is:
Maximum magnetic moment shown by:
Molecule with 2\( \sigma \) and 2\( \pi \) bonds:
Number of valence electrons in Germanium?
Which of the following contains 2 primary –OH groups in its structure?
The tennis ball of mass 120 g moving with a velocity of 20 m/s towards gets by a rocket of velocity and the final speed becomes 30 m/s with direction reversed. If the time of contact is 0.01 s, what is the average force acting on the ball?
For an ideal gas of molar mass \( M \), the slope of the graph between the rms speed \( V \) and \( \sqrt{T} \) where \( T \) represents the temperature is...
Relation between Azimuthal quantum number and magnetic quantum number
What is the dimension of \[ \frac{M B}{K T} \] where \( M \) represents magnetic moment, \( K \) represents the Boltzmann constant, \( B \) represents the magnetic field, and \( T \) represents temperature?
What is the ratio of de Broglie wavelength of the particles if their kinetic energy are 0.002 eV and 2 eV respectively?
The position of body varies as \[ S = 9t^2 - 6t. \text{ What is the time at which the body becomes at rest?} \]
Given: \[ \frac{197}{96} X \to \frac{197}{95} Y + Z + V \quad \text{what is Z?} \]
Galvanometer can be converted into a voltmeter by connecting...
What is the ratio of de Broglie wavelength of the particles if their kinetic energy are 0.002 eV and 2 eV respectively?
If \[ (a - 2)^2 + (b - 2)^2 + (c - 2)^2 = 0, \text{ then } a + b + c = \]
Equation of line through (0, 0, 1) and (1, 1, 0)
If \[ (a - 2)^2 + (b - 2)^2 + (c - 2)^2 = 0, \text{ then } a + b + c = \]
Equation of line through (0, 0, 1) and (1, 1, 0)
Find the range of \( f(x) = \log_e(4x^2 - 4x + 1) \)
Length of latus rectum of ellipse \[ \frac{x^2}{9} + \frac{y^2}{16} = 1 \]
Evaluate the integral: \[ \int \frac{\log(1+x)}{1+x} \, dx \]