Calculate the mole fraction of the solute in a 1.00 m aqueous solution.
| 1. | 0.177 | 2. | 0.771 |
| 3. | 0.0534 | 4. | 0.0177 |
The oxidation of benzene by V2O5 in the presence of air produces?
1. Benzoic anhydride
2. Maleic anhydride
3. Benzoic acid
4. Benzaldehyde
What is the name of the following reaction?
1. Friedel-Crafts reaction
2. Perkins reaction
3. Acetylation reaction
4. Schotten-Baumann reaction
1. 18 molecules of water
2. 1.8 g of water
3. 18 g of water
4. 18 moles of water
The cylindrical tube of a spray pump has a radius \(R,\) one end of which has \(n\) fine holes, each of radius \(r.\) If the speed of the liquid in the tube is \(v,\) the speed of the ejection of the liquid through the holes is:
| 1. | \(\dfrac{vR^{2}}{n^{2}r^{2}}\) | 2. | \(\dfrac{vR^{2}}{nr^{2}}\) |
| 3. | \(\dfrac{vR^{2}}{n^{3}r^{2}}\) | 4. | \(\dfrac{v^{2}R}{nr}\) |
Point masses \(m_1\) and \(m_2,\) are placed at the opposite ends of a rigid rod of length \(L\) and negligible mass. The rod is set into rotation about an axis perpendicular to it. The position of a point \(P\) on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity \(\omega_0\) is minimum is given by:
| 1. | \(x = \frac{m_1L}{m_1+m_2}\) | 2. | \(x= \frac{m_1}{m_2}L\) |
| 3. | \(x= \frac{m_2}{m_1}L\) | 4. | \(x = \frac{m_2L}{m_1+m_2}\) |
Moving perpendicular to field \(B\), a proton and an alpha particle both enter an area of uniform magnetic field \(B\). If the kinetic energy of the proton is \(1~\text{MeV}\) and the radius of the circular orbits for both particles is equal, the energy of the alpha particle will be:
1. \(4~\text{MeV}\)
2. \(0.5~\text{MeV}\)
3. \(1.5~\text{MeV}\)
4. \(1~\text{MeV}\)
A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches \(30^\circ,\) the box starts to slip and slide \(4.0~\text m\) down the plank in \(4.0~\text s.\) The coefficients of static and kinetic friction between the box and the plank will be, respectively:
| 1. | \(0.6\) and \(0.6\) | 2. | \(0.6\) and \(0.5\) |
| 3. | \(0.5\) and \(0.6\) | 4. | \(0.4\) and \(0.3\) |
An ideal gas is compressed to half its initial volume using several processes. Which of the processes results in the maximum work done on the gas?
1. adiabatic
2. isobaric
3. isochoric
4. isothermal
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