A resistor of resistance \( 30 \, \Omega \) and a capacitor of capacitance \( (250 \pi^{-1}) \, \mu\text{F} \) are connected in series to a 220 V, 50 Hz source. The current in the circuit is

In a half wave rectifier, the frequency of the output is :

Which of the following statements are correct?
(A) The electric field and magnetic field vectors of an electromagnetic wave are perpendicular to each other and also perpendicular to the direction of propagation of wave.
(B) Short waves are reflected from ionosphere.
(C) Electric field vector, E and magnetic field vector B have the same frequency.
(D) The line integral of magnetic field induction over a closed path is not zero.
Choose the correct answer from the options given below :

Match List - I with List - II.

List - I	List - II
(A) \( \oint \vec{B} \cdot d\vec{A} = 0 \)	(I) Gauss's Law of electricity
(B) \( \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0} \)	(II) Gauss's Law of magnetism
(C) \( \oint \vec{B} \cdot dl = \mu_0 i_c + \mu_0 \epsilon_0 \frac{d\phi_E}{dt} \)	(III) Faraday's Law
(D) \( \oint \vec{E} \cdot dl = -\frac{d\phi_B}{dt} \)	(IV) Ampere-Maxwell Law

Choose the correct answer from the options given below :

The output voltage of an ideal transformer connected to 240 V a.c. mains is 24 V. When this transformer is used to light a bulb with ratings 24 V, 24 W, the primary current would be-

An \(\alpha\)-particle moves in a circular paths of radius 0.83 cm in the presence of a magnetic field \( 0.25 \text{ Wb/m}^2 \). The de-Broglie wavelength associated with the particle would be approximately :

Match List-I with List-II

List-I	List-II
(A) Charge on an electron	(I) 1
(B) Electric permittivity of free space	(II) \( 1.6 \times 10^{-19} \) C
(C) Number of lines of force from 1C of charge in free space	(III) \( 8.85 \times 10^{-12} \text{ C}^2\text{N}^{-1}\text{m}^{-2} \)
(D) Dieletric constant of vaccum	(IV) \( 13 \times 10^{11} \)

Choose the correct answer from the options given below:

The coordination number \(( CN )\) and oxidation state \(( OS )\) of Co in \(\left[ Co \left( C _2 O _4\right)_3\right]^{3-}\) is.

Answer the question on basis of passage given below :
P block elements are placed in groups 13 to 18 of the periodic table. Their valence shell electronic configuration is \(ns^2 np^{1-6}\). Group 16 of the p block elements are known as the group of chalcogens having \(ns^2 np^4\) as their general electronic configuration. They exhibit number of oxidation states but the stability of \(- 2\) oxidation state decreases down the group. They are sometimes also known as group of chalcogens as the name is derived from the Greek word for brass and points to the association of sulphur and its congeners with copper. Their ionisation enthalpy decreases down the group. Oxygen shows anomalous behaviour due to its small size and high electronegativity.
Given below are the Hydrides formed by group 15 elements. Choose the correct decreasing order of basicity of the following hydrides :
(A) \(AsH_3\)
(B) \(PH_3\)
(C) \(NH_3\)
(D) \(BiH_3\)
(E) \(SbH_3\)
Choose the correct answer from the options given below :

If \(A=\left[\begin{array}{cc}a \cos \theta & b \sin \theta \\ -b \sin \theta & a \cos \theta\end{array}\right]\), then \(A^{-1}\) is equal to:

Arrange the following alkyl halides in increasing order of reactivity towards SN2 reaction :
(A) 1-Bromobutane
(B) 1-Bromo-2,2-dimethylpropane
(C) 1-Bromo-2-methylbutane
(D) 1-Bromo-3-methylbutane
Choose the correct answer from the options given below :

The elucidation of the lac operon was the result of close association between the geneticist ______ and the biochemist ______.

A takes a loan of ₹ \(5,00,000\) at an interest rate for 5 years. The EMI paid by him is ₹ 10,000 . The effective interest rate for A is : (Under flat rate system)