Which of the following hydrocarbons reacts easily with MeMgBr to give methane? 
Consider the following reaction sequence.

Which one among the following compounds will most readily be dehydrated under acidic condition?

Manufacturers supply a zener diode with zener voltage \( V_z=5.6\,\text{V} \) and maximum power dissipation \( P_{\max}=\frac14\,\text{W} \). This zener diode is used in the circuit shown. Calculate the minimum value of the resistance \( R_s \) so that the zener diode will not burn when the input voltage is \( V_{in}=10\,\text{V} \). 
Two charges \( +q \) and \( -q \) are placed at points \( A \) and \( B \) respectively which are at a distance \( 2L \) apart. \( C \) is the midpoint of \( AB \). The work done in moving a charge \( +Q \) along the semicircle CSD (\( W_1 \)) and along the line CBD (\( W_2 \)) are 
A piece of granite floats at the interface of mercury and water. If the densities of granite, water and mercury are \( \rho, \rho_1, \rho_2 \) respectively, the ratio of volume of granite in water to that in mercury is 
One end of a steel wire is fixed to the ceiling of an elevator moving up with an acceleration \( 2\,\text{m/s}^2 \) and a load of \( 10\,\text{kg} \) hangs from the other end. If the cross-section of the wire is \( 2\,\text{cm}^2 \), then the longitudinal strain in the wire is given. (Take \( g=10\,\text{m/s}^2 \) and \( Y=2.0\times10^{11}\,\text{N/m}^2 \)). 