A closed circuit in the form of a regular hexagon of side a carries a current I. What is the magnetic field at the centre of the hexagon?

The following statements are given related to Wheatstone Bridge:
1. when Wheatstone Bridge is balanced, no current flows through the galvanometer arm.
2. Wheatstone Bridge works on the principle of Kirchhoff's law.
3. Being a null method based experiment, the result is free from the effect of extra resistances (cell resistance) of the circuit
4. Wheatstone Bridge is most sensitive when all the four resistances are nearly of the same magnitude.
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The capacitance of a parallel capacitor plate, when a slab of material of dielectric constant \(k\) having same area as the plates of a parallel plate capacitor but thickness \(\frac{d}{2}\) (where 'd' is the separation of the plates) is inserted between the plates, will be :
(Given \(C _0=\) capacitance of capacitor with air as medium between plates)

A parallel plate capacitor is charged by battery. While the battery remains connected and dielectric slab of dielectric constant 'k' is inserted between the plates of capacitor then,
A. Charge increases and becomes k times.
B. Capacitance decreases becomes times 1/k
C. Energy stored in capacitor increases to \(k\) times.
D. Potential difference increases to \(k\) times.
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A square of side L meters lies in the xy-plane in a region where the magnetic field is given by \( \vec{B} = B_0(2\hat{i} + 4\hat{j} + 5\hat{k}) \, T \), where \( B_0 \) is constant. The magnitude of flux passing through the square is

For transmitting a modulated signal of wave length \( \lambda \), the antenna should have minimum size:

A current of 10 A in primary of a circuit is reduced to zero at a uniform rate in \( 10^{-3} \text{ s.} \) If coeff. of mutual inductance is 3 H, the induced emf in the secondary would be :

Human insulin was prepared by:

Read the given paragraph and answer the question:
Humans have 23 pairs of chromosomes. 22 pairs are exactly same in both males and females; these are the autosomes. A pair of X-chromosome are present in the female, whereas the presence of an X and Y chromosome are determinant of the male characteristic.
A number of disorders in human beings have been found to be associated with the inheritance of changed or altered genes or chromosomes. Broadly, genetic disorder may be grouped into two categories-Mendelian disorders and Chromosomal disorders.
What is the probability of having a daughter to a couple expecting their first child?

An ac source has a frequency of 60 Hz. The time taken for the voltage to change from peak value to zero is :

Identify the term (s) which is/are not associated with post transcriptional processing of RNA.
A. Termination factor
B. Splicing
C. Capping
D. Tailing
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Let A and B be square matrices of order 3, \(\left[\left(A-A^T\right)+\left(B-B^T\right)\right]\) then det is equal to

The value of integral \(I=\int \frac{1-\sin x}{\cos ^2 x} d x\) is: