A straight wire of mass 200 g and length 1.5 m carries a current of 2 A. It is suspended in mid air by a uniform horizontal magnetic field B perpendicular to length of wire. The magnitude of B is ( \( g = 10 \text{ ms}^{-2} \) )

A magnet suspended freely at the Equator will set itself _______ to the surface of Earth, while one suspended at pole will stand ________.

Two point charges \( q_1 = 10 \times 10^{-8} \text{ C} \) and \( q_2 = -2 \times 10^{-8} \text{ C} \) are separated by a distance of 6 cm. The distance from \( q_1 \) where the electric potential is zero, can be

The resistance of a wire is \(10 \Omega\). Its length is increased by \(10 \backslash \%\) by stretching. The new resistance of the wire will now be :

A network of four \( 9 \mu F \) capacitors is connected to a 500 V supply, as shown. In the context of this, identify the correct statements.

(A) \( C_4 \) is connected in parallel to the combination of \( C_1, C_2 \) and \( C_3 \).
(B) The equivalent capacitance of the combination \( C_1, C_2, C_3 \) and \( C_4 \) is \( 12 \mu F \).
(C) The charge on \( C_4 \) is \( 4.5 \times 10^{-3} \text{ C} \).
(D) The charge stored on \( C_1 \) and \( C_4 \) is the same.
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Identify the correct statements among the following.
(A) For two unlike equal charges, there is a neutral point on the middle point on the line joining the two charges.
(B) For two, unlike unequal charges, the neutral point will be outside on the line joining the two charges.
(C) For two positive equal charges, the neutral point will be at the middle point of the line joining the two charges.
(D) For two negative charges placed along a line, there will not be any neutral point.
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The current changes in a coil from 10 A to 2 A in 0.2 s. The induced emf produced is 50 V. The self inductance of the coil is:

The area of region bounded by two curves \(y^2=x\) and \(x^2=y\) is:

The current flowing through the two bulbs marked as 60 W, 240 V each when connected in series with 240 V source is:

Read the passage carefully and answer the questions:
Optically active polyhydroxy aldehydes or ketones or molecules which provide such units on hydrolysis are called carbohydrates. They can be broadly classified as monosaccharides, disaccharides and polysaccharides depending on their behavior towards hydrolysis. They are also classified as reducing or non-reducing sugars. Another class of biomolecules is proteins which are polymers of twenty different amino acids linked by peptide bonds. Amino acids can be classified as acidic, basic or neutral depending on the relative number of amino and carboxyl groups in their
molecule. The essential amino acids cannot be synthesized by our body and hence must be provided through diet. Nucleic acids are the polymers of nucleotides which in turn consist of a base, pentose sugar and phosphate. There are two types of nucleic acids namely, DNA and RNA which differ in the composition of sugar and a base
The sugar moiety in DNA and RNA molecules, respectively, are

Amalgam of mercury with sodium belongs to which solute-solvent combination

What kind of immunity is provided to the infant by colostrum?

Let X be a random variable. Let E(X) and Var(X) denote the mean and the variance of X respectively.
Match List - I with List - II

List - I	List - II
(A) If \(\operatorname{Var}( X )=\alpha\), then \(\operatorname{Var}(2 X +3)\) is	(I) \(11 \alpha\)
(B) If \(E ( X )=\alpha\), then \(E (2 X )\) is	(II) \(6 \alpha\)
(C) If \(\operatorname{Var}( X )=\alpha\), then \(\operatorname{Var}(3 X -\alpha)+\operatorname{Var}(\sqrt{2} X +\beta)\) is	(III) \(4 \alpha\)
(D) If \(E(X) = 3\) \(\frac{5\alpha}{12}, \text{ then E(12X + } \alpha)\) is	(IV) \(2 \alpha\)

Choose the correct answer from the options given below: