A metal plate is getting heated: It can be because
A. a direct current is passing through the plate
B. it is placed in a time varying magnetic field
C. it is placed in space varying magnetic field, but doesn't vary with time.
D. an alternating current passing through the plate
E. it is placed between the pole pieces of a magnet
Choose the correct answer from the options given below:

The magnetic flux density at a point on the axis of a long solenoid having 1000 turns \(/ m\) when it is carrying a current of 3.4 A is nearly,

The waves used by artifical satellite for communication purposes are

A nucleus disintegrates into two nuclear fragments which move apart, having their velocities in the ratio 1:3. The ratio of their nuclear sizes, respectively, will be

The electric field component of an electromagnetic wave in vacuum is \( \vec{E} = 3 \cos(1.8y + 5.4 \times 10^8 t) \, \text{N/C} \), where y is in meter and t is in seconds. The frequency of the wave is (approximately)

A steady current flows in a conductor of non-uniform cross-section. The physical quantity which remains constant along the length is :

In a series LCR circuit, \( C = 5 \text{ }\mu\text{F} \) and \( \omega = 1000 \text{ rad/s} \). The value of inductance L for which the current is maximum in this circuit will be :

The integral \(\int \frac{2 d x}{e^{2 x}-1}\) is equal to:

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:

The correct expression and unit of molar conductivity (\(\Lambda_{m}\)) are:

Which of the following statements are correct?
(A) If \(E\) and \(F\) are independent events then \(P(E \cap F)=P(E) P(F)\)
(B) If \(E\) and \(F\) are mutually exclusive events, then \(P(E \cup F)=P(E)+P(F)-P(E) P(F)\)
(C) The conditional probability of an event \(E\), given the occurrence of the event \(F\) is given by \(\frac{P(E \cap F)}{P\left(F^{\prime}\right)}, P(F) \neq 0\)
(D) If \(E\) and \(F\) be the events associated with the sample space \(S\) of an experiment, then \(P(\bar{E} \mid F)=2-P(E \mid F)\)
Choose the correct answer from the options given below:

\(Mn_2O_7\), \(CrO\) and \(V_2O_5\) respectively are:

If 525 = (10 + K) (mod 7) where \(K \in N\), then the least value of K is: