The number of orbitals associated with quantum numbers \(n=5,\;m_s=+\frac 12\) is

The number of stereoisomers possible for \(1,2-\) dimethyl cyclopropane is :

Given below are two statements :
Statement I: \(\mathrm{H}_2 \mathrm{Se}\) is more acidic than \(\mathrm{H}_2 \mathrm{Te}\).
Statement II : \(\mathrm{H}_2 \mathrm{Se}\) has higher bond enthalpy for dissociation than \(\mathrm{H}_2 \mathrm{Te}\).
In the light of the above statements, choose the correct answer from the options given below.

Which of the following statement is not true for glucose?

Which of the following statements are correct? \(A\). Glycerol is purified by vacuum distillation because it decomposes at its normal boiling point. \(B\). Aniline can be purified by steam distillation as aniline is miscible in water. \(C\). Ethanol can be separated from ethanol water mixture by azeotropic distillation because it forms azeotrope. \(D\). An organic compound is pure, if mixed \(M.P\). is remained same. Choose the most appropriate answer from the options given below :

Water decomposes at \(2300\,K\) \(H _2 O ( g ) \rightarrow H _2( g )+\frac{1}{2} O _2( g )\) The percent of water decomposing at \(2300\,K\) and \(1\,bar\) is \(...........\) (Nearest integer). Equilibrium constant for the reaction is \(2 \times 10^{-3}\) at \(2300\,K\)

Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non -expansion work is zero)

The number of ways of forming a queue of \(4\) boys and \(3\) girls such that all the girls are not together, is:

A piece of wood of mass \(0.03\, kg\) is dropped from the top of a \(100\, m\) height building. At the same time, a bullet of mass \(0.02\, kg\) is fired vertically upward, with a velocity \(100\, ms^{- 1}\), from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is ........ \(m\). \((g = 10\, ms^{-2})\)

The major product of the following reaction is \(\begin{array}{*{20}{c}}
  {C{H_3}\,\,\,} \\ 
  {|\,\,\,\,\,\,\,\,} \\ 
  {C{H_3} - C - CHC{H_3}} \\ 
  {\,|\,\,\,\,\,\,\,\,\,\,|} \\ 
  {\,\,H\,\,\,\,\,\,\,Br} 
\end{array}\) \(\xrightarrow{{C{H_3}OH}}\)

If \(z ^{2}+ z +1=0, z \in C\), then \(\left|\sum_{ n =1}^{15}\left( z ^{ n }+(-1)^{ n } \frac{1}{ z ^{ n }}\right)^{2}\right|\) is equal to

Given below are two statements :
1 M aqueous solution of each of \(\mathrm{Cu}\left(\mathrm{NO}_3\right)_2, \mathrm{AgNO}_3\), \(\mathrm{Hg}_2\left(\mathrm{NO}_3\right)_2 ; \mathrm{Mg}\left(\mathrm{NO}_3\right)_2\) are electrolysed using inert electrodes,
\(\begin{aligned} & \text { Given : } \mathrm{E}_{\mathrm{Ag}^{+} / \mathrm{Ag}}^\theta=0.80 \mathrm{~V}, \mathrm{E}_{\mathrm{Hg}_2^{2+} / \mathrm{Hg}}^\theta=0.79 \mathrm{~V}, \\ & \mathrm{E}_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^\theta=0.24 \mathrm{~V} \text { and } \mathrm{E}_{\mathrm{Mg}^{2+} / \mathrm{Mg}}^\theta=-2.37 \mathrm{~V}\end{aligned}\)
Statement (I) : With increasing voltage, the sequence of deposition of metals on the cathode will be \(\mathrm{Ag}, \mathrm{Hg}\) and Cu
Statement (II) : Magnesium will not be deposited at cathode instead oxygen gas will be evolved at the cathode.
In the light of the above statement, choose the most appropriate answer from the options given below

The vernier constant of Vernier callipers is \(0.1 \,mm\) and it has zero error of \((-0.05) \,cm\). While measuring diameter of a sphere, the main scale reading is \(1.7 \,cm\) and coinciding vernier division is \(5\). The corrected diameter will be ........... \(\times 10^{-2} \,cm\)