In the circuit diagram, the battery, diodes \( D_1 \) and \( D_2 \), bulbs \( B_1 \) and \( B_2 \) are connected as shown. Which of the following statements is true regarding bulbs \( B_1 \) and \( B_2 \)?

A current of 5 A is passing through a metallic wire of cross-sectional area \( 5 \times 10^{-6} \text{ m}^2 \).
If the density of the charge carriers in the wire is \( 5 \times 10^{26} \text{ m}^{-3} \), the drift velocity of the electrons is:

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 :

A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the magnetic field. The radius of the loop is made to shrink at a constant rate of 2 mm \( s^{-1} \). The induced emf when the radius is 2 cm, is

Match List-I with List-II for convex lens (symbols have their usual meanings)

List-I (Position of Object)	List-II (Details of image)
(A) at 2F	(l) \(m>1\), virtual
(B) at F	(II) \(m <1\), real
(C) between lens and F	(III) m = 1 , real
(D) between \(\infty\) and 2F	(IV) \(m \gg 1\), real

Choose the correct answer from the options given below :

Photoelectric current depends on
(A) the intensity of incident light
(B) the potential difference applied between the two electrodes
(C) the nature of the emitter material
(D) the conductivity of the emitter material
Choose the correct answer from the options given below:

When a number of capacitors are connected in parallel between two points increases, the equivalent capacitance

The two curves \(x^3-3 x y^2+15=0\) and \(3 x^2 y-y^3+17=0\) :

The values of \(x\) which satisfy the inequality \(|x-3|<2\) lie in :

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
Restriction enzymes are also known as

In the following diagram, to prevent osmosis, if excess pressure is applied on one side of the semipermeable membrane (SPM), then I, II, III and IV are, respectively,

(A) Solution
(B) \(P_{\text {atm }}\)
(C) \(P_{\text {atm }}+\Pi\)
(D) Solvent
Choose the correct answer from the options given below:

Which of the following matrices is not invertible?

In an AC generator, a 100 turns coil of area \( 0.10 \text{ m}^2 \) rotates at 50 Hz in a uniform magnetic field of 0.01 T. The maximum voltage generated in the coil is: