The resistance of a given carbon resistor is \(3.6 \times 10^6 \Omega \pm 5 \%\). What are the sequence of colour strips on the resistor?

A proton has double the kinetic energy of an \( \alpha \)- particle. The ratio of the de-Broglie wavelength of the proton to that of \( \alpha \)- particle will be

Two large plane parallel sheets with equal but opposite surface charge densities +\(\sigma\) and -\(\sigma\). A point charge q placed at points \(P_1, P_2,\) and \(P_3\) experiences forces \(F_1, F_2,\) and \(F_3\) respectively. Then :

Two positive point charges are 3 m apart in the air and the sum of the two charges is \( 20 \text{ } \mu\text{C} \). If the force between them is 0.075 N, the two charges are

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:

Three charges \(+q,-2 q\) and \(4 q\) are placed on the vertices of an equilateral triangle of side 0.2 m . The electrostatic potential energy of the system (Take \(q= 1 0 \mu C\) ) is :

The armature coil of a generator has 20 turns and its area is \( 0.127 \, \text{m}^2 \). How fast approximately should it be rotated in a magnetic field of \( 0.2 \, \text{Wb m}^{-2} \) so that the peak value of induced emf is 160 V?

The core of a transformer is laminated, so as to

For any square matrix \(A ;\left(A-A^{\prime}\right)\) is :

2.5 g of the following substances are dissolved in 500 mL of water. Arrange the resultant solutions in increasing order of their molarity ;
(A) \(C _6 H _{12} O _6\left(180 g mol ^{-1}\right)\)
(B) \(NH _2 CONH _2\left(60 g mol ^{-1}\right)\)
(C) \(NaCl \left(58.5 g mol ^{-1}\right)\)
(D) \(MgSO _4\left(120 g mol ^{-1}\right)\)
Choose the correct order from the options given below :

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An electron (mass \(9 \times 10^{-31} \text{ kg}\) and charge \(1.6 \times 10^{-19} \text{ C}\)) moving with a speed of \(5.0 \times 10^7 \text{ m/s}\) enters a region of uniform magnetic field of strength 0.04 T which is perpendicular to its velocity. The radius of the circular path it follows is:

Read the passage carefully and answer the questions
Many halogen containing organic compounds are present in nature and some of them are clinically useful. These classes of organic compounds find a wide range of applications in our daily life as well as in industries. Many of the polyhalogen compounds are useful too in agriculture. However, some of these compounds cannot be easily decomposed and are thus considered to be environmental hazards. These halo compounds are prepared via different synthetic routes where a variety of organic compounds can be used as substrates such as amines, hydrocarbons etc. They are used as solvents for relatively non-polar compounds. These compounds exhibit substitution and elimination reactions, in addition to their reactions with different metals, which leads to the formation of a versatile starting material for others organic compounds.
The reaction of aryl halide with sodium and dry ether is known as