Match List-I with List-II

List-I (Physical Quantity)	List-II (Units)
(A) Magnetic field	(I) \( J \, T^{-1} \)
(B) Magnetic moment	(II) \( T \, m \, A^{-1} \)
(C) Pole strength	(III) \( J \, T^{-1} m^{-1} \)
(D) Permeability of free space	(IV) \( Wb \, m^{-2} \)

Choose the correct answer from the options given below:

An electric dipole is kept in an electric field which is increasing in the +x direction.
The dipole moment of the dipole is also along the +x direction.
Which of the following options is correct for the electric dipole?

An astronomical telescope has a large aperture to

The sensitivity of a potentiometer can be increased by:

A 0.5 m long solenoid has 500 turns and has a flux density of \( 2.52 \times 10^{-3} \text{ T} \) at its centre.
The current flowing in the solenoid would be (given, \( \mu_0 = 4\pi \times 10^{-7} \text{ Hm}^{-1} \))

Which of the following statements are correct:
A. In semiconductor diodes carriers are generated by photo-excitation.
B. When the photo diode is illuminated with light with energy (E) > Energy gap (Eg) of the semiconductor, then electron-holepairs are generated.
C. Photovoltaic devices convert electricity into optical radiation.
D. Photodiode can be used as a photodetector to detect optical signal.
E. Zener diode specification should be taken as per the required output voltage.
Choose the correct answer from the following options given below:

The magnetic flux linked with a coil at any instant t is given by \( \Phi = (4t^3 - 3t^2 + 2t + 5) \text{ Wb} \). The emf induced in the coil at \( t = 3 \text{ s} \) is

The area enclosed between \(y^2=4 x\) and \(x^2=4 y\) is:

Match List-I with List-II

List-I	List-II
(A) The minimum value of \(f(x)=(2 x-1)^2+3\)	(I) 4
(B) The maximum value of \(f(x)=-|x+1|+4\)	(II) 10
(C) The minimum value of \(f(x)=\sin (2 x)+6\)	(III) 3
(D) The maximum value of \(f(x)=-(x-1)^2+10\)	(IV) 5

Choose the correct answer from the options given below:

Antibodies are secreted by:

Which of the following statements are correct regarding decomposition?
A. Decomposition is largely oxygen-requiring process
B. The rate of decomposition is controlled by chemical composition of detritus and climatic factors
C. Dry and cold environment favour the decomposition.
D. If detritus is rich in lignin and chitin, the decomposition rate is faster
Choose the correct answer from the options given below:

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.
Variable Number of Tandem Repeats are -

Three pipes A, B and C are installed to fill a tank. Pipes A and B opened together can fill the tank in the same time in which \(C\) can alone fill the tank. If pipe \(B\) can fill the tank 15 minutes faster than pipe \(A\) and 5 minutes slower than pipe \(C\), then the time required by pipe \(A\) to fill the tank alone is: