Arrange the following in the decreasing order of basic strength in aqueous solution :
(A) \(CH_3NH_2\)
(B) \((CH_3)_3N\)
(C) \((CH_3)_2NH\)
(D) \(NH_3\)
(E) \(C_6H_5NH_2\)
Choose the correct answer from the options given below :

Area of cross section of a wire \(A\) is twice of \(B\) (given the wires are of the same length and of same material) then whose resistance will be more?

Allyl chloride on dehydrochlorination gives:

Arrange the following in the increasing order of rate of the second order reaction Reactants → products
(A) Reaction at 298 K
(B) Reaction at 298 K with catalyst
(C) Reaction at 500 K with catalyst and double the initial concentration of reactant
(D) Reaction at 500 K with double the initial concentration of reactant
Choose the correct answer from the options given below:

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 :

Answer the question on basis of passage given below :
Alcohols and phenol are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively, is replaced by \(\text{-OH}\) group. The substitution of a hydrogen atom in a hydrocarbon by an alkoxy or aryloxy group forms ethers. Alcohols and phenol consist of two part, an alkyl/aryl group and a hydroxyl group. The properties of alcohols and phenols are primarily due to the hydroxyl group. The nature of alkyl and aryl groups simply modify these properties. Alcohol react both as nucleophiles and electrophiles whereas in phenols, the reactions that take place on the aromatic ring are electrophilic subtitution reactions.
Aspirin is an acetylation product of :

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

Two long coaxial solenoids of the same length L have inner and outer coils with diameters \( D_1 \) and \( D_2 \) and number of turns \( N_1 \) and \( N_2 \), respectively. What will be the ratio of the self-inductance of the inner solenoid to the mutual inductance of both the solenoids?

Let \(A=\left[\begin{array}{ccc}1 & \cos \theta & 1 \\ -\cos \theta & 1 & \cos \theta \\ -1 & -\cos \theta & 1\end{array}\right], 0 \leq \theta \leq 2 \pi\), then :

A message signal of peak value 2 V is used to modulate a carrier wave of peak value 10 V . The modulation
index of the amplitude modulated wave is:

Arrange the following structures involved in embryogenesis in the correct
sequence.
(A) Zygote
(B) Blastocyst
(C) Blastomeres
(D) Morula
Choose the correct answer from the options given below:

A battery of emf 3 V and internal resistance \( r \) is connected in series with a resistance of \( R = 55 \text{ } \Omega \) through an ammeter of resistance \( R_A = 1 \text{ } \Omega \). The ammeter reads a current \( I = 50 \text{ mA} \). Find the internal resistance \( r \) of the battery.

A boat can row at the speed of \(16 km / hr\) in still water. If the river is flowing at \(8 km / hr\), and it takes 8 hours for a round trip, then the distance between the two places is :