The electric field E associated with an electromagnetic wave is given by \( E = E_0 \sin(kx - \omega t) \). The speed of the wave is

In an experiment on the photoelectric effect, the slope of the cut-off voltage versus frequency of the incident light gives

A free electron is placed in the path of a plane electromagnetic wave. The electron will start moving -

Which of the following statements are correct?
(A) Magnetic susceptibility is defined as ratio of Intensity of magnetisation to magnetic field intensity.
(B) Magnetic susceptibility is a ratio of similar quantities therefore has no unit.
(C) The value of magnetic susceptibility for vacuum is one.
(D) Greater is the value of intensity of magnetisation, smaller is the value of susceptibility.
(E) Smaller is the value of magnetic field intensity, smaller is value of susceptibility.
Choose the correct answer from the options given below :

Energy band gap is maximum in :

A surface with area \( \vec{S} = 20 \hat{k} \) is held in an electric field \( \vec{E} = \hat{i} + 2\hat{j} + 5\hat{k} \). The electric flux linked with the surface is

Choose the correct statements:
A. Diamagnetic substances have non zero resultant magnetic moment.
B. The magnetisation of a paramagnetic material is inversely proportional to the absolute temperature T.
C. At high enough temperature, a ferromagnet becomes a paramagnet.
D. Magnetic permeability of ferromagnets, \(u \gg 1\)
E. Susceptibility of Diamagnetic, \(X \gg 1\)

Select the statements which are true for oogenesis?
(A). Ovulation occurs at the secondary oocyte stage.
(B). Polar body is larger than the secondary oocyte.
(C). No more oogonia is formed after birth in the ovary.
(D). The sperm and the ovum nucleus fuse before the formation of the second polar body.
Choose the correct answer from the options given below:

Question based on the following passage :
P-Block elements are placed in group 13 to 18 in the periodic table. Group 15 is nitrogen family.
Nitrogen can react with hydrogen, oxygen, halogens etc. It shows multiple oxidation states in its various oxides i.e. \(N_2O, N_2O_3, N_2O_5\) etc. Important allotropic forms of phosphorus are white, red and black phosporus. Various compounds of phosphorus are phosphine, \(PCl_3, PCl_5\) and oxoacids of phosphorus. Oxidation states \(+1\) to \(+5\) are seen in various oxoacids of phosphorus. Group 17 elements are collectively known as halogens. Bond dissociation enthalpy of \(F_2\) is smaller than \(Cl_2\).
The gases present in group 18 are chemically unreactive, they form only few compounds. Neil Bartlett (in 1962) observed the reaction of a noble gas. Since then, many noble gas compounds have been synthesised.
Following statements are given regarding structure of \(N_2O_5\) :
(A) It has an angular structure
(B) It has a planar structure
(C) There are 6 sigma and 2 pi bonds
(D) There are 5 sigma and 2 pi bonds
(E) There are 6 sigma and 3 pi bonds
Choose the correct answer from the options given below :

For which values of \(a, f(x)=a(x+\sin x)\) is an increasing function?

In a reaction \(2A \to B\), the concentration of A decreases from 0.64 M to 0.22 M in 5 minutes. What is the rate of reaction (in \(M s^{-1}\)) during this interval ?

If X, Y, Z, W \& P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k respectively. The restrictions on n,k \& p so that PY + WY be defined are:

In a plane electromagnetic wave, the electric field varies as \( E = 90 \sin(500x + 20 \times 10^{10}t) \text{ V/m} \). The expression for the magnetic field variation is :