A voltage \( V = 200 \sin(400t) \) V AC source is connected to a series combination of an inductance 20 mH and resistance \( 6 \, \Omega \). The rms current in the AC circuit is:

Three point charges are placed at the corners of an equilateral triangle ABC as shown. The work done to put together these charges from infinity to their respective locations is

E and V, respectively, denote electric field intensity and electrostatic potential at a point. The correct relation between the two is

An electron in a hydrogen atom emits wavelengths during the transitions given below. Arrange these wavelengths in ascending order.
(A) from n = 3 to n = 2
(B) from n = 2 to n = 1
(C) from n = \( \infty \) to n = 1
(D) from n = \( \infty \) to n = 3
(E) from n = 4 to n = 1
Choose the correct answer from the options given below:

A nucleus \({ }_{92}^{238} X\) emits one alpha particle and then one beta particle (electron). The product nucleus will have

In Young's double slit experiment, the width of one of the two slits is four times the width of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern will be

igure given below shows variation of photocurrent with anode potential for different intensities of incident radiation. Some of the results obtained from the experiments are described below on the basis of the graph. Identify the correct results:

(A) The photoelectric current is higher for higher intensity of the incident radiation.
(B) The negative potential required to decrease the photocurrent at different intensities to zero is different.
(C) If the positive potential of the anode is increased beyond a certain value, the photocurrent does not increase for a given intensity.
(D) If the potential applied at the anode is zero, then the photocurrent is lower than the maximum value of current for the given intensity.
Choose the correct answer from the options given below:

The constraints of the given shaded feasible region below of an L.P.P., for non-negative variable constraints \(x\) and \(y\) are

If the wavelength of an electromagnetic radiation is doubled, the energy of the photons would be

Match List - I with List - II.

List - I (Pathogen)	List - II (Disease)
(A) Wuchereria	(I) Typhoid
(B) Plasmodium	(II) Pneumonia
(C) Streptococcus	(III) Malaria
(D) Salmonella	(IV) Elephantiasis

Choose the correct answer from the options given below:

The Western Ghats have a greater number of amphibian species than the Eastern Ghats. This is an example of :

Let \(i_E, i_C\) and \(i_B\) represent the emitter current, the collector current and base current respectively in a transistor Then:

An ac source of variable angular frequency and constant amplitude is connected in series with a capacitance C and an electric bulb of resistance R. When angular frequency is increased then :