Match List-I with List-II

List-I	List-II
(A) \( \oint {B} \cdot d{s} = 0 \)	(I) magnetic field lines
(B) Directional property of freely suspended magnet	(II) circulating ions
(C) Never intersect each other	(III) torque on magnetic dipole
(D) Magnetic field of earth	(IV) monopoles in magnetism do not exist

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In a semiconductor, there are :
(A) no free electrons at any temperature
(B) no free electrons at 0 K
(C) number of free electrons increase with temperature
(D) number of free electrons decrease with temperature
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Arrange the following steps \(( A , B , C\) and D \()\) in proper sequence to determine the index correction in the given arrangement.

(A) The difference between the two gives the correction to be applied to the observed distance.
(B) The positions of the uprights are read on the scale. Their difference gives the observed distance between tip of the pin and the pole of the mirror.
(C) A thin straight index needle OP is placed so that its one end O touches the tip of the pin and the other end P touches the pole of the mirror.
(D) Length of the needle OP is measured by placing it on the scale which is the actual distance between the points in question.
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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.
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A bar magnet of magnetic moment 5.0 \( A \, m^2 \) has poles 20 cm apart. The pole strength would be

If \( \lambda_1 \) and \( \lambda_2 \) are the longest wavelengths of the Lyman and Paschen series respectively, then \( \lambda_1 : \lambda_2 \) is:

Arrange the following electromagnetic waves in decreasing order of their respective wavelengths.
(A) UV-rays
(B) X-rays
(C) Radio waves
(D) Visible light
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Which of the following statements are correct?
(A) The resistance of a conductor and its resistivity both depend on temperature.
(B) For a conductor of 1 m length and of \( 1 \text{ m}^2 \) cross-sectional area, the resistance is equal to its resistivity
(C) Resistance and resistivity both depend on cross-sectional area
(D) The resistivity of two wires made of same material but of different dimensions is the same.
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A series LCR circuit is connected to a 220 V variable frequency (a.c) supply. If L = 20 mH, \( C = 800/\pi^2 \, \mu \text{F} \) and R = 110 \( \Omega \). The frequency of the source, for which the average power absorbed by the circuit is maximum will be:

Which cell is rechargeable?

Ram invested Rs. 20,000 in a mutual fund in the year 2012.
The value of the mutual fund increased to Rs. 32,000 in the year 2017.
The compound annual growth rate (CAGR) of his investment is (Given : \((1.6)^{\frac{1}{5}}=1.098\))

The degree of dissociation ( \(\alpha\) ) of a weak electrolyte \(A_x B_y\) is related to the van't Hoff factor (i) by the expression:

'Colostrum', a yellowish fluid secreted by the mother during early lactation provide which kind of immunity to the newborn?