What happens to the mass number and atomic number of an element when it emits \(\gamma\)-radiation?

An unpolarised light beam strikes a glass surface at Brewster's angle. Then

Taking into account of the slgnificant figures, what is the value of \(9.99\, m -0.0099\, m ?\)

Three identical spheres, each of mass \(M ,\) are placed at the corners of a right angle triangle with mutually perpendicular sides equal to \(2 \;m\) (see figure). Taking the point of intersection of the two mutually perpendicular sides as the origin, find the position vector of centre of mass.

A series \(LCR\) circuit containing \(5.0\, \mathrm{H}\) inductor, \(80\, \mu \mathrm{F}\) capacitor and \(40\, \Omega\) resistor is connected to \(230 \,\mathrm{~V}\) variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be :

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\): The potential ( \(V\) ) at any axial point, at \(2 \mathrm{~m}\) distance ( \(r\) ) from the centre of the dipole of dipole moment vector \(\vec{P}\) of magnitude, \(4 \times 10^{-6} \mathrm{C} \mathrm{m}\), is \(\pm 9 \times 10^3 \mathrm{~V}\). (Take \(\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{Sl}\) units) Reason \(R\): \(V= \pm \frac{2 P}{4 \pi \epsilon_0 r^2}\), where \(r\) is the distance of any axial point, situated at \(2 \mathrm{~m}\) from the centre of the dipole. In the light of the above statements, choose the correct answer from the options given below:

The ratio of resolving powers of an optical microscope for two wavelengths \(\lambda_1 = 4000\,\mathring A\) and \(\lambda_2 = 6000 \,\mathring A\) is

The correct increasing order of trans-effect of the following species is

All of the following are part of an operon except

Which of the following is an example of a zygomorphic flower?

The correct order of increasing metallic character of Na, Be, P, Mg and Si is :

The complex formed by a pair of synapsed homologous chromosomes is called

The partial pressures (in \(\mathrm{mm}\, \mathrm{Hg}\) ) of oxygen \(\left(\mathrm{O}_{2}\right)\) and carbon dioxide \(\left(\mathrm{CO}_{2}\right)\) at alveoli (the site of diffusion) are: