Total internal reflection can take place only, if

The frequency of a photon whose energy is 66.3 eV would be (Given \(h = 6.63 \times 10^{-34} \text{ Js}\))

Magnetic moment of a thin bar magnet is 'M'. If it is bent into a semicircular form, its new magnetic moment will be :

Match List-I with List-II :

List - I	List - II
(A) Electric potential due to point charge	(I) \( \propto \frac{1}{r^2} \)
(B) Electric potential due to a dipole on axial line	(II) \( \propto \frac{1}{r^3} \)
(C) Electric field intensity due to a dipole on axial line	(III) \( \propto \frac{1}{r} \)
(D) Electric field intensity due to a quadrapole	(IV) \( \propto \frac{1}{r^4} \)

Choose the correct answer from the options given below :

When an \( \alpha \)-particle of mass M moving with velocity v bombards a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on M as

Forward bias applied to a p-n junction diode

The correct formula for range of a transmitting antenna of height '2h' is: (Given R = radius of the Earth)

From a container full of milk, 10 liters (1) was drawn and replaced by water. This process is repeated one more time. The ratio of quantity of milk and water left in the container is \(4: 5\). Then the capacity of the container is :

Which of the following reagents are used for denaturation of alcohol?

Two nuclei with mass numbers A and B have density ratios of :

If \(\tan ^{-1} x=y\), then

Match List - I with List - II.

List I	List ll
(A) Penicillium notatum	(I) Wine
(B) Acetobacter aceti	(II) Curd
(C) Saccharomyces cerevisiae	(III) Antibiotics
(D) Lactobacillus	(IV) Acetic acid

Choose the correct answer from the options given below:

Read the passage carefully and answer the following questions
There are mainly four series of the transition metals, \(3 d\) series ( \(S c\) to Zn), \(4 d\) series (Y to Cd), \(5 d\) series (La and Hf to Hg ) and 6d series which has Ac and elements from Rf to Cn . The two series of the inner transition metals; \(4 f\) ( Ce to Lu ) and \(5 f\) (Th to Lr ) are known as lanthanoids and actinoids respectively. Their chemical properties are transitional between those of \(s\) and \(p\) block elements. The transition metals (with the exception of Zn, Cd and Hg) are very hard and have low volatility. Their melting and boiling points are high. Transition metals have incomplete d subshell either in neutral atom or in their ions. With partly filled d orbitals these elements exhibit certain characteristic properties such as display of a variety of oxidation states, formation of coloured ions and entering into complex formation with a variety of ligands. The transition metals and their compounds are known for their catalytic activity.
In general the electronic configuration of outer orbitals of transition metals is \((n - 1)d^{1-10}ns^{1-2}\) but Pd shows an exceptional electronic configuration as......