List of practice Questions

What is the edge length of a BCC unit cell?
Butter is an example of which type of colloid?
Which of the following techniques is most suitable for determining the size and morphology of nanoparticles?
What is the equivalent logic gate when the output of an AND gate is passed through a NOT gate?
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:
The N–O bond order in [NO]− is _______
Consider the wavefunction 𝜓(𝑥) = 𝑁[exp(𝑖𝑘𝑥) + exp(−𝑖𝑘𝑥)]. The complex conjugate 𝜓 ∗ (𝑥) is [Given: 𝑁 is the normalization constant; 𝑖=\(\sqrt-1\)]
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 

 

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:
Maximize \( z = x + y \) subject to: \[ x + y \leq 10, \quad 3y - 2x \leq 15, \quad x \leq 6, \quad x, y \geq 0. \] Find the maximum value.
Using the rules in logic, write the negation of the following: \[ (p q) \land (q \lor \sim r) \]
Which has the highest first ionization energy?
The half-life of a 1st order reaction is 1 hr. What is the fraction of the reactant remaining after 3 hours?
The root mean square velocity (\(v_{\text{rms}}\)) of a gas is given by:
The ideal gas equation is given by \( PV = nRT \). Which of the following statements is correct for an ideal gas?
What is the ratio \( \frac{C_p}{C_v} \) for a monatomic and diatomic gas?
How do you find the amplitude of a simple harmonic oscillator?
What is the overtone of a vibrating string?
Which of the following is a logic gate that gives an output of 1 when the inputs are different?
If \[ \begin{bmatrix} x + y & 2 \\ 5 & xy \end{bmatrix} = \begin{bmatrix} 6 & 2 \\ 5 & 8 \end{bmatrix}, \] then the value of \[ \left( \frac{24}{x} + \frac{24}{y} \right) \] is:
A parallel fibre strand of 30 tex count is coming out from the nip of the front delivery rollers of a ring spinning machine. This strand is given twist to produce a yarn such that the length of the yarn becomes 0.95 times the length of the parallel fibre strand. If 600 turns are present in 1 m length of the yarn, then the twist factor (tpm-tex0.5) of the yarn (rounded off to the nearest integer) is____
A vector field is expressed in the cylindrical coordinate system (s, ϕ, z) as,
\(\overrightarrow𝐹=\frac{𝐴}{𝑠} 𝑠̂+ \frac{𝐵}{𝑠} 𝑧̂. \)
If this field represents an electrostatic field, then the possible values of A and B, respectively, are:
\(L_1: γ^-=(i+2j+3k)+λ(i-j+k)\);
\(L_2: γ^-=(4i+5j+6k)+μ(i+j-k)\),
intersect \(L_1\) and \(L_2\) at P and Q respectively. If \((α, β, γ)\) is the mid point of the line segment PQ, then \(2(α, β, γ\)) is equal to