In the circuit shown below, \(C_1 = 6 \mu F\), \(C_2 = 3 \mu F\) and battery \(B = 40 V\). Initially, switch \(A_1\) is opened and the switch \(A_2\) is closed. Now switch \(A_2\) is opened and \(A_1\) is closed. The charge on \(C_2\) will be

The average power associated with an ideal capacitor of capacitance \( 5 \ \mu\text{F} \) connected to an alternating emf \( E = 200 \sin 100\pi t \) is:

Two solenoids each of length 7 m are placed co-axially, the outer solenoid has 1000 turns and the inner solenoid has 1200 turns. The diameter of the inner solenoid is 8 cm. The mutual inductance between the two solenoids is:

"The voltage and current in an a.c. circuit are: \( V = 8 \sin(50\pi t - \pi/3) \text{ V}, I = 6 \sin(50\pi t + \pi/3) \text{ A} \).
The correct phase relationship between voltage and current is :

A short bar magnet of magnetic dipole moment \( 10^{-5} \text{ A m}^{2} \) is kept in a uniform magnetic field \( 3 \times 10^{-4} \text{ T} \) at an angle of \( 30^{\circ} \). The torque acting on it is :

In the context of the Photoelectric effect, identify the statements which support quantum nature of light.
(A) The electric charge of photoelectrons is quantized
(B) The maximum kinetic energy of photoelectrons depends on the frequency of the incident light, but is independent of its intensity
(C) The photoelectric emission is an instantaneous process without any apparent time lag, even when the incident radiation is made exceedingly dim
(D) There is a minimum frequency of light below which no photoelectrons are emitted
Choose the correct answer from the options given below:

The mutual inductance of a pair of solenoids depends on

Identify the contraceptive measure which can not be practiced by human females:

Probability that a man speaks truth is \(\frac{3}{4}\). He throws a die and reports that it is a six. The probability that it is actually a

Which of the following reagents can be used to convert Ethanol to Ethanal?
(A) Chromium trioxide in Pyridine and HCI
(B) Heated Copper at 573 K
(C) Anhydrous Chromium trioxide
(D) Acidic KMnO\(_4\)
Choose the correct answer from the options given below:

Which of the following is the wrong statement? Coulomb's law describes the electric force that

Read the passage carefully and answer the questions
Amines are considered as derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. In nature they occur among proteins, vitamins, alkaloids and hormones. These can be primary, secondary or tertiary depending on the number of hydrogen groups replaced. They can be prepared from nitro compounds, alkyl halides, nitriles, amides etc. Due to unshared pair of electrons they behave as Lewis bases. Influence of the number of hydrogen atoms at nitrogen atom is displayed in physical properties such as solubility, boiling point and chemical reactions including basicity. Basic character of amines is expressed in terms of their K, and pK; values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary mines. Amino group when ttached to benzene ring behaves as an activating and ortho para directing group.
Give the IUPAC name of the compound

A student was fascinated with the beautiful mauve colored flowers of water hyacinth, he asked his teacher to allow him to take a few plants to his village pond, but teacher denied him to do so because: