Which of the following atoms has the lowest ionization energy ?

An electron is accelerated through a potential difference of 144 V. The de-broglie wavelength associated would be approximately:

Arrange the wavelengths of the following radiations in the decreasing order: \( \lambda_{visible}, \lambda_{X-rays}, \lambda_{radiowaves}, \lambda_{\gamma-rays} \)

The energy of a photon is equal to the kinetic energy of a proton. The energy of the photon is E. Let \(\lambda_1\) be the de-Broglie wavelength of the proton and \(\lambda_2\) be the wavelength of the photon. The ratio \(\lambda_1/\lambda_2\) is proportional to the following

Identify the incorrect statement(s) among the following:
(A) Two electric field lines of force never intersect.
(B) Two opposite charges, each of \( 10 \times 10^{-9} \, \text{C} \), separated by 5 mm. The magnitude of the dipole moment is \( 5 \times 10^{-11} \, \text{C-m} \).
(C) Electric field intensity due to a single charge varies as the square of the distance from the charge, whereas electric field intensity due to an electric dipole varies inversely as the cube of the distance of the point.
(D) Electric field intensity due to an electric dipole has spherical symmetry around it in space.
Choose the correct answer from the options given below:

Two lenses of power 3D and -1D are kept in contact. The focal length of the combined lens would be :

A light bulb and an air core inductor are connected to an AC source. The glow of the light bulb increases if
(A) the frequency of an AC source increases
(B) a copper rod is inserted inside the inductor
(C) the frequency of an AC source decreases
(D) an iron rod is inserted inside the inductor
Choose the correct answer from the options given below:

A parallel beam of monochromatic light of wavelength 900 nm passes through a long slit of width 0.4 mm. The angular divergence in which most of the light is diffracted, is:

At equilibrium condition, the rate of generation of electron-hole pairs in Ge crystal

In an LPP, the feasible region represented by the set off constraints \(2 x+3 y \leq 18, x+y \leq 10, x \geq 0, y \geq 0\) is

If the minimum value of \(a\) is \(-\frac{k}{2}\), such that the function \(f(x)=x^2+a x+5\) is increasing in \([1,2]\). Then value of \(k\) is

Match List I with List - II. -

List - I	List - II
(A) Leydig cells	(I) Human Chorionic Gonadotropin (hcg)
(B) Placenta	(II) Progesterone
(C) Corpus luteum	(III) Androgens
(D) Pituitary gland	(IV) Oxytocin

Choose the correct answer from the options given below :

The angle between the planes whose equations are \(4 x+8 y+z=8\) and \(y+z=4\) is: