The depletion layer has large electrical resistance because:

Which of the following is correct for a parallel plate capacitor of separation 'd' when a slab of material of dielectric constant \(k\) has the same area as the plate of capacitor but has a thickness \(d / 2\) is inserted between the plates?
A. Its capacitance decreases
B. Its capacitance increases
C. \(C=C_0\left(\frac{2 k}{k+1}\right)\)
D. \(C=C_0\left(\frac{k+1}{2 k}\right)\)
E. Charge remains same.
Choose the correct answer from the options given below:

A metal foil of thickness (3/4)d is introduced between two plates of a capacitor of capacitance C. The distance between the plates of the capacitor is d. The new capacitance of the capacitor will be

A bar magnet of magnetic moment \(M_1\) is axially cut into two equal parts. If these two pieces are arranged perpendicular to each other in the shape of L, the resultant magnetic moment becomes \(M_2\), then the value of \(\frac{ M _1}{ M _2}\) is :

An electric motor operating on a 50 V dc supply draws a current of 12 A. If the efficiency of the motor is 30%, the estimated resistance of the motor would be :

At one place on earth, the resultant magnetic field is 0.25 G and the angle of dip is 45°. The horizontal component of earth's magnetic field will be

Positively charged particles are projected into a magnetic field. If the direction of magnetic field is along the direction of motion of the charged particles, the particles will experience

Match List-l with List-ll

List-l (Evolutionary stages of man)	List-II (Features)
(A) Dryopethicus	(I) Brain capacity 900 cc
(B) Australopithecines	(II) Hairy and walked like gorillas
(C) Homo habilis	(III) Brain capacity 650-800 cc
(D) Homo erectus	(IV) Lived in east African grasslands

Choose the correct answer from the options given below:

Mature mRNA is a fully processed

Read the passage carefully and answer the given questions.
DNA Fingerprinting Polymorphism in DNA sequence is the basis of genetic mapping of the human genome as well as of DNA fingerprinting. DNA fingerprinting involves identification of differences in some specific regions in the DNA sequence called repetitive DNA. It works on the principle of polymorphisms in DNA sequences. The repetitive DNA are separated from bulk genomic DNA. The bulk DNA forms a major peak and the other small peaks are referred to as satellite DNA. These repetitive/satellite DNA sequences show a high degree of polymorphisms and form the basis of DNA fingerprinting.
DNA fingerprinting is meant for:

Match List-I (Name of the Base) with List-II (Structure)

List-I (Name of the Base)	List-II (Structure)
(A). Adenine (A)	(I).
(B). Cytosine (C)	(II).
(C). Thymine (T)	(III).
(D). Guanine (G)	(IV).

Choose the correct answer from the options given below :

If \( \vec{M} \) is magnetic moment and \( \vec{B} \) is magnetic field, then the torque (\( \vec{\tau} \)) is given by

If the function \(f(x)=\left\{\begin{array}{ll}\frac{k c e s}{\pi-2 \pi} & : x \neq \frac{\pi}{2} \\ 3 & : x=\frac{\pi}{2}\end{array}\right.\) is continuous at \(x=\frac{\pi}{2}\), then \(k\) is equal to: