List of top Questions asked in MET- 2008

The normality of a solution containing 32.5 g of \( \text{(COOH)}_{2} \cdot 2\text{H}_{2}\text{O} \) per 0.5 L is:

For the titration of \( \text{KOH} \) vs \( \text{(COOH)}_{2} \cdot 2\text{H}_{2}\text{O} \), the suitable indicator is:

The radius of \( \mathrm{Na}^{+} \) is 95 pm and that of \( \mathrm{Cl}^{-} \) ion is 181 pm. The coordination number of Na is:

\( (CH_{3})_{3}CBr + H_{2}O \rightarrow (CH_{3})_{3}COH + HBr \) is an example of:

The radius of \( \mathrm{Na}^{+} \) is 95 pm and that of \( \mathrm{Cl}^{-} \) ion is 181 pm. The coordination number of Na is:

\( (CH_{3})_{3}CBr + H_{2}O \rightarrow (CH_{3})_{3}COH + HBr \) is an example of:

The standard reduction potentials at 298 K for half-cell reactions are given:
\( \mathrm{Zn}^{2+} + 2e^{-} \rightarrow \mathrm{Zn};\ -0.762\,\text{V} \)
\( \mathrm{Cr}^{3+} + 3e^{-} \rightarrow \mathrm{Cr};\ -0.74\,\text{V} \)
\( 2\mathrm{H}^{+} + 2e^{-} \rightarrow \mathrm{H}_{2};\ 0.00\,\text{V} \)
\( \mathrm{Fe}^{3+} + e^{-} \rightleftharpoons \mathrm{Fe}^{2+};\ +0.77\,\text{V} \)
The strongest reducing agent is:

A closed mesh has a potential \( V' \), current \( I \), and resistance \( R \). If \( V' = 0.5 \,\text{V} \), \( I = 0.1 \,\text{A} \), and \( R = 20 \,\Omega \), the total voltage \( V \) is:

Work done to rotate a dipole from \( \theta_{1} = 0^\circ \) to \( \theta_{2} = 60^\circ \) is \( W \). The work required to rotate it to \( 180^\circ \) is:

The frequency of a light wave in a material is \( 2 \times 10^{14} \,\text{Hz} \) and wavelength is \( 5000 \,\text{\AA} \). The refractive index of material is:

A nuclear reaction is given by \( {}_{Z}X^{A} \rightarrow {}_{Z+1}Y^{A} + {}_{-1}e^{0} + \bar{\nu} \). This reaction represents:

The escape velocity from the surface of the earth is \( v_{e} \). The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be:

The velocity of sound in air at STP is 332 m/s. The velocity of sound in air at \( 27^\circ \text{C} \) is:

The magnetic susceptibility of a paramagnetic material at \( -73^\circ \text{C} \) is 0.0075. Its value at \( -173^\circ \text{C} \) will be:

A particle moves in a circle of radius 25 cm at two revolutions per second. The acceleration of the particle in \( \text{m/s}^{2} \) is:

The power of a water pump is 2 kW. If \( g = 10 \text{ m/s}^{2} \), the amount of water it can raise in one minute to a height of 10 m is:

The value of \( \cos^{2} 48^\circ - \sin^{2} 12^\circ \) is:

The value of \( \cot 70^\circ + 4\cos 70^\circ \) is:

If \( \sin \theta \) and \( \cos \theta \) are the roots of the equation \( ax^{2} - bx + c = 0 \), then:

The value of \( \sum_{k=1}^{n} \frac{1}{\sqrt{a_{k}} + \sqrt{a_{k+1}}} \), where \( a_{1}, a_{2}, \dots, a_{n} \) are in A.P. with common difference \( d \), is:

If the sum of \( n \) terms of two A.P.s are in the ratio \( (3n + 8) : (7n + 15) \), then the ratio of their \( 12^{\text{th}} \) terms is:

The value of \( \sqrt{6 + \sqrt{6 + \sqrt{6 + \cdots}}} \) is:

The number of real solutions of \( x^{2} - 3|x| + 2 = 0 \) is:

If \( \log_{10} 2,\ \log_{10}(2^{x} - 1),\ \log_{10}(2^{x} + 3) \) are in A.P., then \( x \) is:

The eccentricity of the hyperbola \( x^{2} - 4y^{2} = 1 \) is: