An ammeter and a Voltmeter are to be connected in a circuit. Which of the following statements are correct?
(A) Ammeter has negligible resistance.
(B) Ammeter is always connected in series in the circuit.
(C) Voltmeter should have negligible resistance.
(D) Voltmeter should be connected in parallel so that the whole current may pass through it.
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Which of the following statements are correct?
A. Relative motion between a coil and a magnet induces the electric current.
B. The charges in motion can experience force due to a stationary magnet.
C. Mutual inductance of a pair of coils does not depend on their separation as well as their relative orientation.
D. Self inductance plays the role of inertia.
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A pure inductor of 70 mH is connected to a source of 220 V. The frequency of the source is 50 Hz. The current in the circuit is:

Energy of a photon corresponding to a wavelength of 600 nm is 2.08 eV. The energy of a photon of wavelength 400 nm will be :

In free space, all components of the complete electromagnetic spectrum have the same

The current in a device varies with time 't' as I = 6 t, where I is in mA and t is in s. The amount of charge that passes through the device during t = 0 s to t = 3 s is

A magnet of magnetic moment \( 50 \hat{i} \text{ A m}^2 \) is placed along the X-axis in a magnetic field \( \vec{B} = (0.5 \hat{i} + 3.0 \hat{j}) \text{ T} \). The torque acting on it is

Read the given paragraph and answer the question:
Humans have 23 pairs of chromosomes. 22 pairs are exactly same in both males and females; these are the autosomes. A pair of X-chromosome are present in the female, whereas the presence of an X and Y chromosome are determinant of the male characteristic.
A number of disorders in human beings have been found to be associated with the inheritance of changed or altered genes or chromosomes. Broadly, genetic disorder may be grouped into two categories-Mendelian disorders and Chromosomal disorders
A colour blind man marries a carrier woman. Choose the possible progeny outcome.

Grignard reagent should be prepared under anhydrous condition because

If the solubility of the given gases in water decreases in the order of formaldehyde, methane, vinyl chloride, argon.
Match List-I with List-II.

List-I(Gas)	List-II(\((\mathrm{K})_{\mathbf{H}} / \mathrm{k}\) bar)
(A) Formaldehyde	(I) 40.3
(B) Vinyl Chloride	(II) 0.413
(C) Argon	(III) 1.83 x \(\mathrm{10}^{-5}\)
(D) Methane	(IV) 0.611

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The integral \(\int_0^1 x(1-x)^n d x\) is equal to :

\(n _1\) identical capacitors, each of capacitance \(C _1\), are connected in series and charged by a source of potential difference \(3 V . n _2\) identical capacitors, each of capacitance \(C_2\), are connected in parallel and charged by a source of potential difference 2 V . Total energy stored in both the combinations is the same. What is the value of capacitance \(C _2\) in terms of \(C _{ 1 }\) ?

The value of \(\tan ^{-1}\left[2 \cos \left(2 \sin ^{-1} \frac{1}{2}\right)\right]\) is :