Using monochromatic light for diffraction in a single slit of width 0.1 mm, with a central maximum of 5 mm width on a screen 50 cm away, the wavelength of light used is :

The momentum of a photon associated with a radiation of frequency \(2 \times 10^{13} Hg\) is (Given: \(h=6.6 \times 10^{-34} J\) s and \(c=3 \times 10^8 m / s\) )

Kirchhoff's second law is based on the law of conservation of

Two point charges \( 3 \text{ } \mu\text{C} \) and \( -3 \text{ } \mu\text{C} \) are located at points \( A: (3 \text{ cm}, 0, 0) \) and \( B: (-3 \text{ cm}, 0, 0) \), respectively. The electric field at the origin is

Which of the following statements are correct?
(A) The emf of a cell depends on the internal resistance of the cell.
(B) The emf of a cell depends on the external resistance of the circuit.
(C) It is easier to start a car engine on a warm day than on a cold day.
(D) The temperature coefficient of resistance (α) of carbon is negative.
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The magnetic field lines are completely expelled from a material when ( \(\chi\) is the susceptibility and \(\mu_r\) is relative permeability)

What are the respective numbers of \( \alpha \) and \( \beta \) particles emitted respectively in the following radioactive decay?
\( {}^{200}_{90}X \rightarrow {}^{168}_{80}Y \)

Frequencies in the UHF range normally propagate by means of :

The area of the region given by \(\left\{(x, y): y \geq x^2, y \leq|x|+2\right\} \backslash-\backslash-\backslash-\backslash-\backslash-\) is

Let A and B be two events. Then which of the following statements are TRUE?
(A) \(P(B \mid A)=\frac{P(A \cap B)}{P(A)}\), provided \(P(A) \neq 0\)
(B) \(P\left(B^{\prime}\right)=1+P(B)\)
(C) \(P(A \cup B)=P(A)+P(B)+P(A \cap B)\)
(D) \(P(A \cap B)=P(A) \cdot P(B)\) if A and B are independent events
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Use of biofertilizers as a nutrient source is a practised in __________.

Match the coordination compounds given in List-l with the central metal atoms given in List-ll

List-I (Coordination compound)	List-II (Central metal atom)
(A) blood pigment	(I) iron
(B) chlorophyll	(II) magnesium
(C) vitamin B12	(III) rhodium
(D) wilkinson catalyst	(IV) cobalt

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Answer the question on basis of passage given below
The noble gases have closed shell electronic configuration and are monatomic gases under normal conditions. The low boiling points of lighter noble gases are due to the weak dispersion forces between the atoms and the absence of other inter atomic interaction. The direct reaction of xenon with fluorine leads to a series of compounds with oxidation numbers \(+2, +4\) and \(+6\).
\(\text{XeF}_4\) reacts violently with water to give \(\text{XeO}_3\). The compound of Xenon exhibit stereoisomerism and their geometries can be deduced considering the total number of electrons in the valence shell.
Match List - I with List – II.

List - I	List - II
A. Its partial hydrolysis does not change the oxidation state of the central atom	I. He
B. It is used in modern diving apparatus	II. \(\text{XeF}_6\)
C. It is used to provide inert atmosphere for filling electrical bulbs	III. \(\text{XeF}_4\)
D. Its central atom is in \(\text{sp}^3\text{d}^2\) hybridisation state	IV. Ar

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