The equivalent resistance between P and Q is:

A nucleus with mass number 240 and binding energy per nucleon 7.6 MeV splits into two fragments each of mass number 120 with binding energy per nucleon 8.5 MeV. The amount of energy released in this process will be :

A message signal of frequency \(\omega_m\) is superposed on a carrier wave of frequency \(\omega_c\) to get an amplitude modulated wave (AM). The frequency of the AM wave will be :

Which of the following statements are true regarding alternating current:
(A) In an a.c. circuit containing resistance only, a.c. power is expressed in the same form as d.c. power (\( P = I^2 R \)), using a special value of current called root mean square (rms) or effective current, denoted by \( I_{rms} \).
(B) A phasor is a vector.
(C) Resonance phenomenon is exhibited by a circuit even if both L and C are not present in the circuit.
(D) For circuits used for transporting electric power, a low power factor implies less power loss in transmission.
Choose the correct answer from the options given below:

A long straight wire carries a current of 35 A. The magnitude of the field \( \vec{B} \) at a point 20 cm from the wire would be:

The winding of the solenoid with 1000 turns per meter, core material with relative permeability 400 and carrying a current of 2 A, the magnetisation (M) is approximately given by :

Consider three long straight parallel wires as shown in the figure. Length of wire B is 25 cm. Choose the correct options based

(A) Net force experienced by wire B is \( 2 \times 10^{-4} \) N towards left
(B) Magnitude of repulsion force by wire A on B is \( 5 \times 10^{-4} \) N
(C) Magnitude of repulsion force by wire C on B is \( 2 \times 10^{-4} \) N
(D) Net force experienced by wire B is \( 2 \times 10^{-4} \) N towards right
Choose the correct answer from the options given below:

Read the following paragraph and answer the given questions:
In order to link the alien DNA, the vector needs to have very few, preferably single, recognition sites for the commonly used restriction enzymes. Presence of more than one recognition site in the vector will generate several fragments, which will complicate the gene cloning. In order to link the alien DNA, the vector needs to have very few, preferably single, recognition sites for the commonly used restriction enzymes. Presence of more than one recognition sites within the vector will generate several fragments, which will complicate the gene cloning. The ligation of alien DNA is carried out at a restriction site present in one of the two antibiotic resistance genes. The recombinant plasmids will lose tetracycline resistance due to insertion of foreign DNA but can still be selected out from non-recombinant ones by plating the transformants on tetracycline containing medium.
The recombinants will grow in ampicillin containing medium but not on that containing tetracycline. But, non- recombinants will grow on the medium containing both the antibiotics. In this case, one antibiotic resistance gene helps in selecting the transformants, whereas the other antibiotic resistance gene gets 'inactivated due to insertion' of alien DNA, and helps in selection of recombinants. Origin of replication (ori) is a sequence from where replication starts and any piece of DNA when linked to this sequence can be made to replicate within the host cells. This sequence is also responsible for controlling the copy number of the linked DNA. So, if one wants to recover many copies of the target DNA it should be cloned in a vector whose origin support has high copy number.
In pBR322 'rop' codes for -

Let \(A=\left[a_{i j}\right]_{3 \times 2}\) and \(B=\left[b_{i j}\right]_{3 \times 4}\) be two matrices.
Then the order of the matrix \(\left(A^T \cdot B\right)^T\) is :

If A and B are invertible matrices of order 3 then match List-I with List-II

List-I	List-II
(A) adj(A)	(I) \(B^{-1} A^{-1}\)
(B) \((A B)^{-1}\)	(II) \(|A|^{-1}\)
(C) \(\left|A^{-1}\right|\)	(III) \(|A|^2\)
(D) \(|\operatorname{adj} A|\)	(IV) \(|A| A^{-1}\)

Choose the correct answer from the options given below:

The positive value of \(E^{\circ}_{Cu^{2+}/Cu}\) indicates that
A. Copper electrode is a stronger reducing agent than \(SHE\).
B. Copper electrode is a stronger oxidising agent than \(SHE\).
C. Copper can displace \(H_2\) from \(HCl(aq)\).
D. Copper cannot displace \(H_2\) from \(HCl(aq)\).
Choose the correct answer from the options given below:

Which biomolecule is an example of fibrous protein?

In visible light, orange differs from violet as they have