Calculate the radius of metal atom in bcc unit cell having edge length \(287 \mathrm{pm}\).

Which of the following reagents is used to convert phenol to benzene?

Lemon gives sour taste because of

What is the oxidation state of carbon in \(\mathrm{CaC}_2\) and \(\mathrm{K}_2 \mathrm{C}_2 \mathrm{O}_4\) respectively?

Which among the following is NOT colligative property?

How many moles of urea are present in \(5.4 \mathrm{~g}\) ? (Molar mass \(=60\) )

What is the number of electrons present in antibonding orbitals of \(\mathrm{N}_2\) molecule according to molecular orbital theory?

A stone of mass ' m ' kg is tied to a string of length ' L ' m and moved in a vertical circle of radius 49 cm in a vertical plane. If it completes 30 revolutions per minute, the tension in the string when it is at the lowermost point is nearly
[Take \(\pi^2=10\) and acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\) ]

Calculate the enthalpy change when 12 g carbon react with sufficient hydrogen to form methane. If enthalpy of formation of methane is \(-75 \mathrm{~kJ} \mathrm{~mol}^{-1}\).

The value of \(\int e^{x}\left[\frac{1+\sin x}{1+\cos x}\right] d x\) is

If \(\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}\) are non-coplanar vectors and \(\overline{\mathrm{p}}=\frac{\overline{\mathrm{b}} \times \overline{\mathrm{c}}}{[\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{c}}]}, \overline{\mathrm{q}}=\frac{\overline{\mathrm{c}} \times \overline{\mathrm{a}}}{[\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{c}}]}, \overline{\mathrm{r}}=\frac{\overline{\mathrm{a}} \times \overline{\mathrm{b}}}{[\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{c}}]}, \quad\) then \(2 \overline{\mathrm{a}} \cdot \overline{\mathrm{p}}+\overline{\mathrm{b}} \cdot \overline{\mathrm{q}}+\overline{\mathrm{c}} \cdot \overline{\mathrm{r}}=\)

An oral contraceptive pill checks

What is percentage atom economy during conversion of reactant to product if formula weight of reactants is \(246 \mathrm{u}\) and of product is \(123 \mathrm{u}\) ?