What are Wade's Rule? Apply them to any metalloborane.

Give the structures of (a) B₇H^2-₇; (b) B₅H^4-₅

What are the polydentate phosphines? How do you prepare molybdenocene.

With the help of molecular orbital theory explain the geometry of the nitrosyl ligand.

Determine the number and symmetry designations of the infrared-active C-O modes in the following derivatives of Mo(CO)_6-

Mo(CO)₅PR₃

cis-Mo(CO)₄ (PR₃)₂

trans-MO(CO)₄ (PR₃)₂

fac-Mo(CO)₃ (PR3)₃

With suitable examples explain fluxional organometallic compounds. What are the probable of symmetric and semibridging carbonyls. Give suitable examples.

What is ẞ-elimination in organometallic chemistry? What is the role of agnostic alkyls in ẞ-elimination?

Explain the concept of hapticity giving suitable examples.

With suitable illustration explain the theory of Craig and Paddock for a bonding in phosphazenes. Give some synthetic routes for polyphosphazenes.

What are the possible molecular structures of xenon hexafluoride? Explain with suitable figures. Explain the geometrical isomers of Ma₂b₂cd complex with suitable figures.

Explain periodic variation of electronegativity with atomic number for the first six rows of the periodic table.

Give the trends in metallic radii of alkali, alkaline earth and transition metals of fourth, fifth and sixth periods with proper illustration.

Which of the following statements are true? Give reasons for your answer.

(i) F-distribution is always used in goodness of fit.

(ii) Measure of central tendency in a data set refers to the extent to which the observations are scattered.

(iii) A process is said to be under assignable cause when the points are above the VCL link of ( chart. ,R)

(iv) Simple random sampling is done by using random number tables where the probability of drawing a digit is 0⋅ .1

(v) All time series have a trend.

A researcher measures the temperature of a solution 5 times. The observations are 25, 32, 27, 29, 30 °C . Determine an unbiased estimate of the temperature.

A box contains 10 screws, 3 of which are defective. Two screws are drawn at random. Find the probability that none of them is defective, if the sample is drawn

(i) with replacement,

(ii) without replacement.

A manufacture of rayon wants to compare that the yield strength of 11⋅5 kg/mm² is met or not at 5% level of significance. The manufacturer draws a sample and calculates the mean to be 12⋅8kg/ 2 mm and the standard derivation is known to be 2⋅0kg/ mm . 2 Carry out the statistical test appropriate for this.

Suppose from a total of 120 guava trees, 5 clusters of 4 trees each selected and the yield (in kg) is recorded below:

Estimate the average yield per tree and its standard error.

A shop manufacturer is trying to determine whether or not to market a new type of shop. It chooses a random samples of equivalent size in England and France. It asks each of the people in each sample to try the new soap, and see whether he or she likes it better than other soaps. The results are as follows:

Test the hypothesis that there are international difference in the proportion of people who prefer the new soap, using 5% level of significance.

Write three advantage and three disadvantage of using a sampling approach instead of a census approach for studying a characteristic.

At a call centre, callers have to wait till an operator is ready to take their call. To monitor this process, 5 calls were recorded every hour for the 8-hour working day. The data below shows the waiting time in weeks:

Compute the control limits for x and R -charts. Draw the control charts for x and ,R and comments.