A 50 Hz AC current of crest 1 A flows through a transformer primary. With mutual inductance 0.5 H, the crest voltage induced in secondary is :

Identify the incorrect statements among the following.
(A) The two charges of an electric dipole will experience force in the same direction when placed in a uniform electric field,
(B) The dipole moment is a vector quantity,
(C) The direction of the dipole moment is from +q charge towards -q charge,
(D) The torque acting on the dipole in an electric field depends on the intensity of the field and the dipole moment.
Choose the correct answer from the options given below:

The electric field vector of a plane electromagnetic wave oscillates sinusoidally at a frequency of \(4.5 \times 10^{10} \text{ Hz}\) in a medium with permittivity \(\epsilon_0\) and permeability \(\mu_0\). The wavelength of the wave is

Match List-I with List-II

List-I (AC Circuit)	List-II (Phase Angle)
(A) Phase Difference between current and voltage in a pure inductive ac circuit	(I) zero
(B) Phase Difference between current and voltage in a pure resistive ac circuit	(II) \( \pi/2 \), current lags voltage
(C) Phase Difference between current and voltage in a pure capacitive ac circuit	(III) \( \tan^{-1}(\frac{X_L - X_C}{R}) \)
(D) Phase Difference between current and voltage in a series LCR circuit	(IV) \( \pi/2 \), current leads voltage

Choose the correct answer from the options given below:

A point charge – 5 µC is at a distance 5 cm directly above the centre of a square of side 10 cm.
The magnitude of electric flux through this square is:

The external diameter of a 5 m long hollow copper tube is 10 cm and the thickness of its wall is 5 mm. If the specific resistance of copper be \( 1.7 \times 10^{-8} \, \Omega\text{-m} \), then its resistance would be approximately

In an experiment on the photoelectric effect, the slope of the cut-off voltage versus frequency of the incident light gives

Read the passage carefully and answer the Questions
Amines are classified as primary \(\left(1^{\circ}\right)\), secondary \(\left(2^{\circ}\right)\) and tertiary \(\left(3^{\circ}\right)\) depending upon the number of hydrogen atoms replaced by alkyl or aryl groups in ammonia molecules. Aliphatic amines are a stronger bases due to \(+I\) effect of an alkyl groups. Intermolecular hydrogen bonding in primary and secondary amines affects the boiling points of amines. The intermolecular association is more in primary amines than in secondary amines as there are more number of hydrogen atoms available for hydrogen bond formation. Nitro compounds are reduced to amines by passing hydrogen gas in the presence of finely divided nickel, palladium or platinum and also by reduction with metals in an acidic medium. Gabriel synthesis is used for the preparation of primary amines. Primary amines react with nitrous acid to give unstable diazonium-salts which can be used to synthesize a variety of compounds.
The reaction is an example of

Arrange the following waves in the increasing order of their wavelengths:
(A) Visible light waves
(B) Microwave waves
(C) Infrared waves
(D) AM radio waves
Choose the correct answer from the options given below:

A current of 2 A flows through a 2 \( \Omega \) resistor when connected with a cell. When the resistance is replaced by 10 \( \Omega \), a current of 0.5 A flows. The internal resistance of the cell is

Enzymes that cut the DNA at specific locations are known as :

Which of the following statement(s) is/are incorrect?
(A) The Kirchhoff's laws are equally applicable in alternating current circuit and direct current circuits.
(B) It is not necessary that the wire stretched on the meter bridge must have a uniform cross-sectional area.
(C) The internal resistance of the cell does not affect the reading of the null point in metre bridge.
(D) Electrical potential has no direction, the electrical potential gradient has a direction.

A current I flows through an infinitely long, straight copper walled pipe. Then: