The complex having lowest \(\Delta_0\) value among the given complexes is :

Calculate the mass of urea \((NH_2CONH_2)\) required to prepare \(2.5\ kg\) of a \(0.25\ molal\) aqueous solution.

Which of the following compound(s) does not react with Fehling solution?
(A) \(CH _3 CHO\)
(B) \(Ph - CHO\)
(C) Glucose
(D)

choose the correct answer from the options given below:

Which of the following can be used as a froth stabiliser during ore concentration?

Which of the following reactions will give 2-propanol ?
(A) \(CH _3- CH _2- COOH \xrightarrow[\text { (II) } H _2 O ]{\text { (I) } LAHH _4}\)
(B) \(\quad CH _2= CH - CH _3 \xrightarrow{\text { Neutral } KMnO _4}\)
(C) \(CH _2= CH - CH _3+ H _2 O \xrightarrow{ H ^{+}}\)
(D) \(CH _2 O \xrightarrow[ H _2 O ]{ C _2 H _5 MgI }\)
Choose the correct answer from the options given below :

Read the passage carefully and answer the questions:
The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complex to yield three orbitals of lower energy, \(t_2\), set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\), orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_0\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_0\) and pairing energy, \(P\) (energy required for electron pairing in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
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Answer the question on the basis of passage given below :
All transition elements display typical metallic properties like high melting point, boiling point, tensile strength, high malleability and ductility, luster, etc. Their metallic character increases down the group and elements of \(4 d\) and 5d series exhibit higher metallic characters. They show variable oxidation states and forms a number of coloured compounds due to the presence of unpaired electrons which shows d-d transitions and makes them paramagnetic.
Which of the following will be coloured in aqueous medium?

The value of the integral \(\int \frac{\log x^3}{x} d x\) is :

In the plot of \(\log \frac{[R]_{0}}{[R]}\) versus time for a first order reaction (where [R] represents the concentration of the reactant), the slope and intercept are respectively equal to

In Bt cotton plant, the insecticidal protein encoded by the genes cry1AC and cry IIAb control -

The base of transistor is:

Read the paragraph and answer the question.
Broadly, genetic disorders may be grouped into two categories - Mendelian disorders and Chromosomal disorders. Mendelian disorders are mainly determined by alteration or mutation in the single gene. These disorders are transmitted to the offspring on the same lines as we have studied in the principle of inheritance. The trait may also be linked to the sex chromosome as in case of haemophilia. It is evident that this X-linked recessive trait shows transmission from carrier female of male progeny.
Which of the following disease is a result of aneuploidy?
(A) Turner's Syndrome
(B) Klinefelter's Syndrome
(C) Down's Syndrome
(D) Phenylketonuria
Choose the correct answer from the options given below:

8. An ammeter having internal resistance of \( 0.81 \, \Omega \) can read upto 1A. To convert it into an ammeter reading 0 - 10 A we have to connect :