At a place, the horizontal component of earth's magnetic field is \( 4 \times 10^{-4} \text{ T} \) and angle of dip is \( 60^\circ \). The value of horizontal component of earth's magnetic field at the equator is :

What is the ratio of the frequencies of the long wavelength limits of Lyman and Balmer series of hydrogen spectrum ?

The following experiment suggests that light propagates as waves

When a potential difference is applied across the ends of a conductor, the electric field exists :

A nucleus captures two neutrons. Which of the following gives the changes in the proton number and nucleon number of the nucleus?

The magnetic field at a distance r from a long wire carrying current I is 0.4 T. The magnetic field at a distance 2r from the wire is

A cell of constant emf is first connected to a resistance \( R_1 \) and then connected to a resistance \( R_2 \). If power delivered in both cases is same, then the internal resistance of the cell is

Identify the incorrect statement(s) among the following:
(A) Two electric field lines of force never intersect.
(B) Two opposite charges, each of \( 10 \times 10^{-9} \, \text{C} \), separated by 5 mm. The magnitude of the dipole moment is \( 5 \times 10^{-11} \, \text{C-m} \).
(C) Electric field intensity due to a single charge varies as the square of the distance from the charge, whereas electric field intensity due to an electric dipole varies inversely as the cube of the distance of the point.
(D) Electric field intensity due to an electric dipole has spherical symmetry around it in space.
Choose the correct answer from the options given below:

Which of the following phenomena proves the particle nature of photon ?

Choose the correct statements from the following related to glycine amino acid.
(A). Water soluble \(\alpha\)-amino acid.
(B). It has both amino and carboxylic groups in its structure.
(C). It is optically inactive.
(D). It is a non-essential amino acid.
Choose the correct answer from the options given below :

Two capacitors of capacitances \(8 \mu F\) and \(20 \mu F\) are connected in series with a battery. The voltage across the \(8 \mu F\) capacitor is 5 V . The total battery voltage is:

A convex lens of focal length 40 cm is placed in contact with a concave lens of focal length 20 cm. If an object is placed at 40 cm in front of the combination, the position of the image formed by the combination is

A charged particle moves along a circle under the action of constant electric and magnetic fields. Which of the following is possible?