In a Young's double slit experiment, two slits are separated by 3 mm and the screen is placed 1.5 m away. The distance between two consecutive minima for a light of wavelength 420 nm is

Two point charges \( 2 \, \mu\text{C} \) and \( 3 \, \mu\text{C} \) are placed at a distance of 5 cm from each other. The magnitude of the electrostatic force between them is:

In a diffraction pattern due to a narrow slit of width a, alternate dark and bright fringe pattern is obtained on a screen kept at distance D from the slit. Choose the correct option.
(A) The angular width of central maximum is given by 2D/a, linear width is given by 2D\lambda/a
(B) When the size of aperture, a is quite large, the diffraction effect is negligible,
(C) For light of smaller wavelength, angular width of central maximum increases, while linear width decreases,
(D) Angular width of central maximum does not decrease while linear width decreases on decreasing distance of screen from slit.
Choose the correct answer from the options given below:

In a single slit experiment, a diffraction pattern is obtained on the screen for yellow light. What will be the effect on the diffraction pattern, if yellow light is replaced by X-rays?

An electron is accelerated through a potential difference of \( V = 36 \text{ V} \). The de-Broglie wavelength associated with it will be

Which of the following equations represents the Ampere-Maxwell law?

A 10 pF capacitor is connected to a 24 V battery. The electrostatic energy stored in the capacitor is:

Match List I with List II.

List-I (Compounds)	List-II (Oxidation number of Cobalt)
A. \(\left[ Co \left( NH _3\right)_5( NCS )\right] SO _3\)	I. \(+4\)
B. \(\left[ Co \left( NH _3\right)_4 Cl _2\right] SO _4\)	II. \(0\)
C. \(Na _4\left[ Co \left( S _2 O _3\right)_3\right]\)	III. \(+2\)
D. \(\left[ Co _2( CO )_8\right]\)	IV. \(+3\)

Choose the correct answer from the options given below :

The binding energy per nucleon is 1.1 MeV for \({ }_1^2 H\) and 7.0 MeV for \({ }_2^4 He\). The energy released in the given fusion reaction will be:
\({ }_1^2 H+{ }_1^2 H \rightarrow{ }_2^4 He\)

Which of the following hormones are secreted by placenta?
(A) hCG
(B) hPL
(C) Estrogens
(D) Progestogens
(E) Relaxin
Choose the correct answer from the options given below:

The function \(f(x)=\frac{x}{2}+\frac{2}{x}, x \neq 0\) is increasing on :
(A) \((-\infty,-2)\)
(B) \((-2,2)\)
(C) \((2, \infty)\)
(D) \((-1,1)\)
Choose the correct answer from the options given below :

The direction cosines of a line which makes equal angles with co-ordinate axes are:

Velocity of light in diamond, glass and water decreases in the following order :