The intensity ratio of two interfering sources in Young's double slit experiment is \(4 : 1\). The ratio of \( \frac{I_{min}}{I_{max}} \) is:

The correct statement given below are :
(A) \(\chi = 1 + \mu_r\)
(B) \(\mu_r = 1 + \chi\)
(C) \(B = \mu_0(H + M)\)
(D) \(H = \frac{B_0}{\mu_0}\)
(E) \(B_0 = \mu_0 H\)
Here x = magnetic susceptibility
\(\mu_r\)= Relative magnetic permeability
B = Magnetic field
M = Magnetisation
H = Magnetic Intensity
\(\mu_0\)= Magnetic permeability
Choose the correct answer from the options given below:

A coil having 'n' turns and resistance \( 'R' \, \Omega \) is connected with a galvanometer of resistance \( '4R' \, \Omega \). What is the induced current in the circuit when this combination (coil+galvanometer) is moved in time \( t \) from a magnetic flux \( \phi_1 \) to \( \phi_2 \) ?

A current of 10 A is flowing in a wire of length 1.2 m. A force of 12 N acts on it when it is placed in a uniform magnetic field of 2 T. The angle between the magnetic field and the direction of the current is

In a series L, C and R circuit with an ac source of frequency \( \omega \), the current leads the voltage by \( \pi/4 \). The value of capacitance C will be

Arrange the following in the increasing order of de-Broglie wavelength:
A. A bullet of mass 0.02 kg travelling at speed of 3.3 km s⁻¹
B. A ball of mass 0.0331 kg moving with speed of 2 m s⁻¹
C. A dust particle of mass \( 2 \times 10^{-10} \text{ kg} \) drifting with a speed of 3.3 m s⁻¹
D. A photon having a momentum of \( 6.63 \times 10^{-26} \text{ kg m s}^{-1} \)
E. An electron accelerated through a potential difference of 100 V
Choose the correct answer from the options given below:

A light pipe known as optical fibre used to facilitate visual examination of internal organs is based on:

Grignard's reagent synthesis is always carried out in dry ether because

A resistor of resistance \( 30 \, \Omega \) and a capacitor of capacitance \( (250 \pi^{-1}) \, \mu\text{F} \) are connected in series to a 220 V, 50 Hz source. The current in the circuit is

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.
Which one of the given sites is commonly used by the restriction enzyme?

For the LPP, Min \(z=6 x+10 y\) subject to \(x \geq 6, y \geq 3,2 x+y \geq 10, x \geq 0, y \geq 0\), redundant constraint is:

A wire of resistance 20 Ω is bent to form a complete circle. What will be its resistance between two diametrically opposite points?

The corner points of the feasible region determined by the system of linear constraints are \((0, 0), (0, 40), (20, 40), (60, 20), (60, 0)\). The objective function is \(Z = 4x + 3y\).
Compare the quantity in Column A and Column B
Column A : Column B :
Maximum of Z 325