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

Match List-I with List-II

List-I (Electric Field)	List-II (Expression)
(A) Field due to an infinitely long straight uniformly charged wire	(I) \(\sigma\left(2 \varepsilon_0\right)^{-1}\)
(B) Field due to a uniformly charged thin spherical shell (inside the shell)	(II)\(q\left(4 \pi \varepsilon_0 r^2\right)^{-1}\)
(C) Field due to a uniformly charged infinite plane sheet	(III) \(\lambda\left(2 \pi \varepsilon_0 r\right)^{-1}\)
(D) Field due to a uniformly charged thin spherical shell (outside the shell)	(IV) zero

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The condition for observing diffraction from a single slit is that the light wavefront incident on the slit should be

Two slits are made 1 mm apart and the screen is placed 1 m away. What is the fringe width when a light used of wavelength 500 nm?

Using the given information, calculate the mass defect of the \({ }_8^{16} O\) nucleus in \(MeV / c ^2\).
Mass of electron, \(m_e=0.00055 u\)
Mass of proton, \(m_p=1.00727 u\)
Mass of neutron, \(m_n=1.00866 u\)
Experimental mass of nucleus \(=15.99053 u\)
\(1 u=931.5 MeV / c^2\)
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Figure shows a coil C connected to a galvanometer G. When the North-pole of a bar magnet is pushed towards the coil, the pointer in the galvanometer deflects. Regarding this set up, the following statements are given:
(A) It indicates the presence of electric current in the coil.
(B) The deflection is found to be smaller when the magnet is pushed towards the coil faster.
(C) There is repulsion in the moving magnet and the magnetic pole induced in the coil facing towards the N pole of the magnet.
(D) If the bar magnet does not move, there is no induced current in the coil.
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Match List-I with List-II

List-I	List-II
(A) Electrical permittivity	(I) \(N m^2 C^{-1}\)
(B) Electric flux	(II) \(N^{-1} m^{-2} C^2\)
(C) Electric field	(III) \(Cm ^{-2}\)
(D) Surface charge density	(IV) \(N C^{-1}\)

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An alpha particle is moving in a magnetic field \( (3\hat{i} + 2\hat{j}) \text{ T} \) with the velocity \( (7 \times 10^5 \hat{i}) \text{ m/s} \). The magnetic force acting on the particle is:

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

Identify the correct statements from the following for an electrical circuit.
(A) An ammeter of very low resistance is connected in series in the circuit.
(B) A Voltmeter of high resistance is connected in series with a resistance in the circuit.
(C) A current I coming at a point P of a circuit, divides into 4 small currents flowing through different branches and all the currents again combine to give current I at the next point S of the circuit. The branches are in parallel.
(D) The internal resistance of the batteries can always be neglected
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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.
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Which of the following does NOT serve as biofertilizer in paddy field?

Match List I with List II

List I	List II
A. The triplet nature of genetic code	I. George Gamow
B. The technique of DNA fingerprinting	III. Alec Jefferys
C. lac operon	IV. Jacob and Monod
D. Central dogma	II. Francis Crick

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