Consider a permanent dipole of dipole moment P in a non-uniform electric field E. Which of the following option is correct?

The magnetic field produced at the centre of circular loop of diameter 4 cm is \( 6.28 \times 10^{-5} \text{ T} \). The current required to flow in the loop is : (\( \mu_0 = 4\pi \times 10^{-7} \text{ N A}^{-2} \))

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:

Arrange the following electromagnetic waves in their increasing order of energy.
(A) Gamma rays
(B) X- rays
(C) Microwaves
(D) Infrared waves
(E) Ultraviolet rays
Choose the correct answer from the options given below:

When a current carrying coil is placed in a uniform external magnetic field with its magnetic moment antiparallel to the external magnetic field, then
(A) its potential energy is minimum
(B) its potential energy is maximum
(C) torque on it is maximum
(D) torque on it is zero
(E) coil is in unstable equilibrium
Choose the correct answer from the options given below:

A series LCR circuit is connected to a 230 V, 50 rad/s source. Given L = 5 H, C = 80 \( \mu \)F and R = 40 \( \Omega \). Impedance of the circuit is

An electric dipole of length 2 cm is placed at an angle of \(30^\circ\) with an electric field \(3 \times 10^5 \text{ N C}^{-1}\). If the dipole experiences a torque of \(9 \times 10^{-3} \text{ N m}\), the magnitude of either charge of the dipole is

Read the passage carefully and answer the questions.
Amines are considered to be derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. They are usually prepared from nitro compounds, halides, amides, imides etc. The presence of hydrogen bonding influences its physical properties. In alkylamines, a combination of electron releasing steric and hydrogen bonding factors influences the stability of substituted ammonium cations in protic polar solvents and thus affects the basic nature of amines. Alkyl amines are found to be stronger bases than ammonia which is more basic than water. Primary and secondary amines are engaged in intermolecular association due to hydrogen bonding. This intermolecular association is more in primary amines than in secondary amines. Tertiary amines do not have intermoleulcar association due to the absenceof hydrogen atom available for hydrogen bonding. Thus, the boiling point of amines depends on hydrogen bonding. In aromatic amines, electron releasing and withdrawing groups increase and decrease their basic character. Aryl diazonium salts usually obtained from arylamine undergo replacement of the diazonium group with a variety of nucleophile. Their coupling reaction of aryl diazonium salts with phenol or arylamine results in formation of dyes.
Complete the reaction by giving the final product:
Chloroethane + ethanolic (NaCN) + LiAlH\(_4\) \(\rightarrow\) ?

Indium is mainly refined by :

Which of the following contribute to increase in population density?

A charged particle is moving in a cyclotron. What is the effect on time for one revolution of this charged particle, when its radius of the orbit is doubled?

Identify the statements which are not true with respect to transgenic animals?
(A) Transgenic mice are used to test the safety of polio vaccine.
(B) Transgenic animals are less sensitive to toxic substance than normal animals.
(C) The milk produced by the first transgenic cow contain human ßlactalbumin.
(D) Transgenic animals can produce useful biological products.
Choose the correct answer from the options given below:

Which of the following compounds will show highest acidic strength?