1.

How many $ 1\,\mu F $ capacitors must be connected in parallel to store a charge of $1\, C$ with a potential of $110\, V$ across the capacitors?

• 990
• 900
• 9090
• 909

2.

The basic unit of study in Ecology is

• population
• organism
• community
• species

3.

A hammer of mass $200\, kg$ strikes a steel block of mass $200\, g$ with a velocity $8\, ms^{-1}$. If $23\%$ of the energy is utilized to heat the steel block, the rise in temperature of the block is (specific heat capacity of steel = $460 \; J \; kg^{-1} \; K^{-1}$)

• 8 K
• 16 K
• 12 K
• 24 K

4.

Which will undergo fastest $82$ substitution reaction when treated with $NaOH$?

• $H_5C_2 - \underset{\overset{|}{H}}{\overset{\underset{|}{C}H_3}{C}} - Br$
• $CH_3 - \underset{\overset{|}{C}H_3}{\overset{\underset{|}{C}H_3}{C}} - Br$
• $H - \underset{\overset{|}{C_2}H_5}{\overset{\underset{|}{C}H_3}{C}} - Br$
• $H - \underset{\overset{|}{Br}}{\overset{\underset{|}{H}}{C}} - CH_2 - CH_2 - CH_3$

5.

What is the shape and magnetic nature of permanganate ion ?

• Pyramidal diamagnetic
• Tetrahedral, diamagnetic
• Tetrahedral, paramagnetic
• Planar, paramagnetic

6.

Which of the following graphs shows the variation of acceleration due to gravity $g$ with depth $h$ from the surface of the earth?