A bulb of \( 100 \text{ W} \) glows for \( 6 \text{ hours} \) a day. The units of energy consumed in \( 7 \text{ days} \) would be :

A positively charged particle is released from rest in a uniform electric field. The electric potential energy of charge:

The ratio of the de-Broglie wavelengths associated with protons accelerated through a potential of 128 V and alpha particles accelerated through a potential of 64 V will be

A thin prism of refractive index 1.5 when placed in air deviates a light ray by a minimum angle of \( 5^{\circ} \). The angle of minimum deviation when it is immersed in oil of refractive index 1.25 is:

A parallel beam of monochromatic light of wavelength \( 460 \text{ nm} \) passes through a long slit of width \( 0.1 \text{ mm} \). What is the angular divergence in which most of the light is diffracted ?

A coil of 500 turns is threaded by a magnetic flux of \( 7 \times 10^{-5} \text{ Wb} \). If the flux changes to \( 3 \times 10^{-5} \text{ Wb} \) in 0.01 s, what average induced emf is developed in the coil? If resistance offered by the coil is \( 10 \, \Omega \), then the flow of average induced current will be :

Match List-I with List-II

List-I	List-II
(A) Contracting of eye ball	(I) Myopia
(B) Controls the shape of eye lens	(II) Cornea
(C) Elongation of eye ball	(III) Ciliary muscle
(D) Controls the light entering in eyes	(IV)Hypermetropia

The values of 'a' for which the vectors \(\vec{\alpha}=\hat{i}+2 \hat{j}+\hat{k}, \vec{\beta}=a \hat{i}+\hat{j}+2 \hat{k}\) and \(\vec{\gamma}=\hat{i}+2 \hat{j}+a \hat{k}\) are coplanar are:

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......

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
Phosphorus forms \(PF _5\) but nitrogen cannot form \(NF _5\) as:

If \(y=x \log x\), then which of the following is correct ?

In Young's double slit experiment, the ratio of slit widths is 4 : 1. The intensity ratio in the interference pattern would be :

The number of free electrons per 100 mm of ordinary copper wire is 2 \(\times 10^{21}\). The average drift speed of electrons is 0.25 mm/s. The amount of current flowing would be : (e = 1.6 \(\times 10^{-19}\) C)