List of practice Questions

Let \( L \) be the line passing through the points \( i\hat{i} - 9\hat{k} \) and \( 7j\hat{k} \), and \( \pi \) be the plane passing through the point \( 6i + j \) and perpendicular to the vector \( i + j + k \). If \( \theta \) is the angle between \( L \) and \( \pi \), then \( \sin \theta = \):

If \( \vec{OA} = 2i - j + k \), \( \vec{OB} = -3i - k \), and \( \vec{OC} = -2i + 2j - 3k \), then a unit vector perpendicular to the plane containing \( A, B, C \) is:

Match the following

List I (Method)	List II (Metal refined)
A) Zone refining	I) Sn
B) Liquation	II) In
C) Vapour phase refining	III) Zn
D) Distillation	IV) Zr
	V) Al

Match the following:

List – I
A. Broad spectrum
B. Typhoid
C. Bactericidal
D. Bacteriostatic

List – II
I. Amoxycillin
II. Vancomycin
III. Erythromycin
IV. Chloramphenicol
V. Ofloxacin

Which is the correct order of the following alkyl halides for an SN2 reaction?

In the reaction, if X is the reagent and Y is the product, which of the following is not feasible?

Which of the following is a hemiacetal?

In which of the following, reagent and product are correctly matched with respect to benzene diazonium chloride as reactant?

The greater the valence of the flocculating ion added, the greater is its power to cause precipitation of a colloid. This rule is:

Which of the following statement(s) is/are correct?

Statement I: Boron does not exhibit allotropy
Statement II: Boron is extremely hard and black coloured solid

At 300 K, the following graph is obtained for one mole of an ideal gas. If its pressure is 10 atm, then its volume (in L) will be

What are x, y and z respectively in the following reaction?
\[ x \text{Fe}^{2+} (aq) + y \text{H}^{+} (aq) + z \text{Cr}_2\text{O}_7^{2-} (aq) \rightarrow \frac{y}{2} \text{H}_2\text{O} (l) + x \text{Fe}^{3+} (aq) + 2z \text{Cr}^{3+} (aq) \]

The following methods can not be used to remove permanent hardness of water:

Maximum number of electrons theoretically possible for an orbit with principal quantum number n = 6 in an atom is.

Which of the following statements are correct?

The total energy of an electron in an orbit of hydrogen atom is \( E \). The potential energy of the electron in the same orbit is

In a transistor amplifier, the voltage gain is

Two metal wires of same length, same area of cross-section have conductivities of their material \( \sigma_1 \) and \( \sigma_2 \). If they are connected in series, the effective conductivity is:

In the circuit, the cells are having negligible resistances. If the galvanometer shows null deflection, then the value of \( V \) is:

The Curie temperature \( T_c \) represents:

A resistor of 100 \( \Omega \), an inductor of \( \frac{25}{\pi} \) mH, and a capacitor of 0.1 \( \mu \)F are connected in series to an ac source. The impedance of the circuit is minimum for a frequency of:

If the rms speeds of helium and oxygen are equal, then the ratio of the temperatures of helium and oxygen is:

The frequency of a light ray is \( 6 \times 10^{14} \) Hz. Its frequency when it propagates in a medium of refractive index 1.5, will be:

Two charges \( Q \) and \( 4Q \) are separated by a distance of 6 cm. The distance of the point from \( 4Q \) at which the net electric field is zero is: