Derive an expression for maximum speed of a vehicle moving along a horizontal circular track.
The perpendicular distance of the plane \( r \cdot (3\hat{i} + 4\hat{j} + 12\hat{k}) = 78 \) from the origin is __________.
Express the following switching circuit in symbolic form of logic. Construct the switching table.
Blog: Write a ‘Blog’ in a proper format on ‘Body Language’ with the help of the following points (100 to 150 words): - Meaning and features - Characteristics and scope - Benefits / Importance - Uses / Ways to utilize
Explain the construction of a spherical wavefront by using Huygens' principle.
The principal solutions of the equation \( \cos\theta = \frac{1}{2} \) are _________.
Write the name of the metal nanoparticle used to remove E. coli bacteria from water.
Prove Mayer's relation: \( C_p - C_v = \frac{R}{J} \)
Summarizing:Write a ‘summary’ of the above extract by using the following points. (Love as a force — its limitations — tolerance — need of tolerance)
The spin-only magnetic moment of \( \text{Cr}^{3+} \) cation is ___________.
If \( \alpha, \beta, \gamma \) are direction angles of a line and \( \alpha = 60^\circ, \beta = 45^\circ \), then \( \gamma \) is _________.