A plane electromagnetic wave travels in vacuum along y-direction. At the same instant, the direction of Electric and magnetic fields are:

In visible light, orange differs from violet as they have

Under which of the following conditions the power delivered by the source of circuit will be maximum

The sunlight is allowed to fall on a pinhole of diameter \( 10^{-4} \text{ mm} \) and thus a diffraction pattern is obtained. How will the size and intensity of the diffraction pattern be affected if the diameter of the pinhole is slightly increased?

A light wave has a frequency of \( 4 \times 10^{14} \, \text{Hz} \). Find the difference in its wavelengths in alcohol of refractive index 1.35 and glass of refractive index 1.5 :

For what distance is ray optics a good approximation when the aperture is 3 mm wide and the wavelength is 500 nm?

The wavelength of Red light in the visible region is about 760 nm. The energy of photon in that case will be :

The shortest distance between the lines\(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z+4}{6}\)and\(\frac{x-3}{4}=\frac{y-3}{6}=\frac{z+5}{12}\) is :

The energy of a photon of wavelength 1 \( \text{\AA} \) is
(Given: \( h = 6.63 \times 10^{-34} \text{ J s} \))

For the curve xy = 6, the value of \(\frac{d^2 y}{d x^2}\) at y = 3 is:

The half life of a radioactive substance is 20 s. The decay constant is

Read the passage carefully and answer the questions
Carbohydrates such as cane sugar, glucose, starch etc. belong to a class of naturally occurring organic compounds. Structurally these are polyhydroxy aldehydes or ketones or the compounds which produce such units on hydrolysis. Carbohydrates which are sweet in taste are called sugars. Theses sugars can be reducing or non-reducing. Monosaccharides cannot be hydrolyzed to simpler units whereas Oligosaccharides yield two to ten monosaccharide units on hydrolysis. Polysaccharides yield large number of monosaccharide units on hydrolysis. This class of biomolecules is essential for living systems as they serve as storage molecules in plants and animals. In addition, they provide raw materials for important industries like furniture, textiles, paper, lacquers and breweries. Two aldopentose form important constituents of nucleic acids. Carbohydrates are also called saccharides (Greek: sakcharon which means sugar). Sugar which is used in household and in milk also comes under this class of biomolecules.
Which sugar is known as milk sugar?

If \(A\) and \(B\) are two square matrices of same order such that \(A B=A\) and \(B A=B\), then the value of \(A^{2024}+B^{2024}\) is equal to