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Face validity is a superficial, non-statistical form of validity — it refers to whether the test “looks like” it measures what it claims to measure, as judged by experts or test-takers at face value. It is the weakest form of validity but still matters for test credibility and acceptance.
Correct Answer: B — Face validity.
Force on a positive charge q moving with velocity v in magnetic field B is:
Lorentz force: \(\vec{F} = q(\vec{v} \times \vec{B})\).
If the matrix $P = \begin{pmatrix}1 & \alpha & 3\\1 & 3 & 3\\2 & 4 & 4\end{pmatrix}$ is the adjoint of a $3\times3$ matrix $A$ with $|A|=4$, find $\alpha$.
We use the property: $|adj(A)| = |A|^{n-1}$ for an $n\times n$ matrix. Here $n=3$, so $|P| = |A|^2 = 16$.
Compute $|P|$ by expanding along row 1 (with unknown $\alpha$):
$|P| = 1(3\cdot4-3\cdot4) - \alpha(1\cdot4-3\cdot2) + 3(1\cdot4-3\cdot2)$
$= 1(0) - \alpha(4-6) + 3(4-6) = 2\alpha - 6$
Setting $2\alpha - 6 = 16 \Rightarrow 2\alpha = 22 \Rightarrow \alpha = \mathbf{11}$
Which enzyme is secreted in its active form without needing activation?
Amylase (salivary and pancreatic) is secreted in active form. Many proteases (e.g., pepsin, trypsin) are secreted as zymogens (inactive precursors) to prevent auto-digestion.
Escape velocity from Earth depends on:
v_esc = √(2GM/R), independent of mass of body and angle.
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