An ideal gas undergoes a cyclic process as shown in Figure \(\Delta {U_{BC}} =  - 5\,kJ\,mo{l^{ - 1}},{q_{AB}} = 2\,kJ\,mo{l^{ - 1}}\) \(\Delta {W_{AB}} =  - 5\,kJ\,mo{l^{ - 1}},{W_{CA}} = 3\,kJ\,mo{l^{ - 1}}\)  Heat absorbed by the system during process \(CA\) is......\(kJ\,mo{l^{ - 1}}\)

The molality of a \(10 \%( v / v )\) solution of di-bromine solution in \(CCl _4\) (carbon tetrachloride) is \(x\). \(x=\) \(......\times 10^{-2}\,M\). (Nearest integer) [Given : molar mass of \(Br _2=160\,g\,mol ^{-1}\) atomic mass of \(C =12\,g\,mol ^{-1}\) atomic mass of \(Cl =35.5\,g\,mol ^{-1}\) density of dibromine \(=3.2\,g\,cm ^{-3}\) density of \(\left.CCl _4=1.6\,g\,cm ^{-3}\right]\)

Identify the correct statements:
The presence of \(-NO_{2}\) group in benzene ring
A. activates the ring towards electrophilic substitutions.
B. deactivates the ring towards electrophilic substitutions.
C. activates the ring towards nucleophilic substitutions.
D. deactivates the ring towards nucleophilic substitutions.

Consider the following elements. Which of the following is/are true about \(\mathrm{A}^{\prime}, \mathrm{B}^{\prime}, \mathrm{C}^{\prime}\) and \(\mathrm{D}^{\prime}\) ? \(A\). Order of atomic radius: \(\mathrm{B}^{\prime}<\mathrm{A}^{\prime}<\mathrm{D}^{\prime}<\mathrm{C}^{\prime}\) \(B\). Order of metallic character: \(\mathrm{B}^{\prime}<\mathrm{A}^{\prime}<\mathrm{D}^{\prime}<\mathrm{C}^{\prime}\) \(C\). Size of the element : \(\mathrm{D}^{\prime}<\mathrm{C}^{\prime}<\mathrm{B}^{\prime}<\mathrm{A}^{\prime}\) \(D\). Order of ionic radius : \(\mathrm{B}^{\prime+}<\mathrm{A}^{\prime+}<\mathrm{D}^{\prime+}<\mathrm{C}^{\prime+}\) Choose the correct answer from the options given below :

The total number of hydrogen bonds of a DNA-double Helix strand whose one strand has the following sequence of bases is_______.
\(5^{\prime}\) - G - G-C-A-A-A-T-C-G-G-C-T-A-3'

The set that contains atomic number of only transition element is -

The difference in the ' spin-only ' magnetic moment values of \(\mathrm{KMnO}_4\) and the manganese product formed during titration of \(\mathrm{KMnO}_4\) against oxalic acid in acidic medium is _______ \(\mathrm{BM}\). (nearest integer)

From the point \((-1, -1)\), two rays are sent making angles of \(45°\) with the line \(x + y = 0\). These rays get reflected from the mirror \(x + 2y = 1\). If the equations of the reflected rays are \(ax + by = 9\) and \(cx + dy = 7\), \(a, b, c, d \in \mathbf{Z}\), then the value of \(ad + bc\) is _______.

A Carnot freezer takes heat from water at \(0\,^oC\) inside it and rejects it to the room at a temperature of \(27\,^oC\). The latent heat of ice is \(336 \times 10^3\, J\,kg^{-1}\).  lf \(5\, kg\) of water at \(0\,^oC\) is converted into ice at  \(0\,^oC\) by the freezer, then the energy consumed by the freezer is close to

The least count of a screw guage is 0.01 mm . If the pitch is increased by \(75 \%\) and number of divisions on the circular scale is reduced by \(50 \%\), the new least count will be _____ \(\times 10^{-3} \mathrm{~mm}\)

An \(NPN\) transistor is used in common emitter configuration as an amplifier with \(1\,k\Omega \) load resistance. Signal voltage of \(10\,mV\) is applied across the base emitter. This produces a \(3\,mA\) change in the collector current and \(15\,\mu A\) change in the base current of the amplifier. The input resistance and voltage gain are

If the variance of the following frequency distribution is \(50\) then \(x\) is equal to:

Class	\(10-20\)	\(20-30\)	\(30-40\)
Frequency	\(2\)	\(x\)	\(2\)

A thin prism of angle \(6^{\circ}\) and refractive index for yellow light \(\left(n_{Y}\right) 1.5\) is combined with another prism of angle \(5^{\circ}\) and \(n _{ Y }=1.55\). The combination produces no dispersion. The net average deviation ( \(\delta\) ) produced by the combination is \(\left(\frac{1}{x}\right)^{\circ}\). The value of \(x\) is.......