List of practice Questions

The angle between the lines, whose direction cosines \( l, m, n \) satisfy the equations: \[ l + m + n = 0 \quad \text{and} \quad 2l^2 + 2m^2 - n^2 = 0, \] is:
A vector parallel to the line of intersection of the planes \[ \overrightarrow{r} \cdot (3\hat{i} - \hat{j} + \hat{k}) = 1 \quad \text{and} \quad \overrightarrow{r} \cdot (\hat{i} + 4\hat{j} - 2\hat{k}) = 2 \] is:
The mitral valve is also known as ?
Menstrual blood does not clot due to the presence of ?
Convert 72 degrees Celsius to Fahrenheit.
What is the oxidation state of Fe in \( \mathrm{Fe_3O_4} \)?
Which of the following is ferromagnetic:
Find the solubility product of \( \mathrm{Ba(OH)_2} \)?
Where \( S = 1.73 \times 10^{-14} \).
The first member of the Paschen series in the hydrogen spectrum is of wavelength \( 18800 \, \text{Å} \). What is the short wavelength limit of the Paschen series?
A coil has a resistance of \( 30 \, \Omega \) and an inductive reactance of \( 20 \, \Omega \) at 50 Hz frequency. If an AC source of 200 V and 100 Hz is connected across the coil, then how much current will flow through the coil?
A rocket of initial mass 6000 kg ejects gases at a constant rate of 16 kg/s with a constant relative speed of 11 km/s. What is the acceleration of the rocket one minute after the blast?

Write the IUPAC name for 

 

Find the total volume of a unit cell given the radius of the atom.
Find the pH if \( pK_b \), \([ \text{base} ]\), and \([ \text{salt} ]\) are given.
In 2-chloro-3,4-dimethylhexane, how many chiral carbon atoms are present?
From the options given below, which one of the following is a primary amine?
Which of the following alkanes is tertiary?
If the lines \( \frac{x-k}{2} = \frac{y+1}{3} = \frac{z-1}{4} \) and \( \frac{x-3}{1} = \frac{y - 9/2}{2} = z/1 \) intersect, then the value of \( k \) is:
The distribution function \( F(X) \) of a discrete random variable \( X \) is given. Then \( P[X = 4] + P[X = 5] \):
\[ \begin{array}{|c|c|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline F(X = x) & 0.2 & 0.37 & 0.48 & 0.62 & 0.85 & 1 \\ \hline \end{array} \]
If \( A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{bmatrix} \), then \( A^{-1} \) is:
If \( B = \begin{bmatrix} 3 & a & -1 \\ 1 & 3 & 1 \\ -1 & 1 & 3 \end{bmatrix} \) is the adjoint of a \( 3 \times 3 \) matrix \( A \) and \( |A| = 4 \), then \( a \) is equal to:
The statement \( (p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q)) \) is equivalent to:
Which of the following is a logic gate that gives an output of 1 when the inputs are different?
What is the overtone of a vibrating string?
How do you find the amplitude of a simple harmonic oscillator?