In the given circuit when steady current flows, the potential drop across the capacitor is:

A charged particle with charge 0.01 C rotates on a circular path of radius 0.5 m , with velocity \(0.2 m / s\). What is the value of \(B\) at the center of the circle ?

When a slab of insulating material 4 mm thick is introduced between the plates of a parallel plate capacitor of separation 4 mm, it is found that the distance between the plates has to be increased by 3.2 mm to restore the capacity to its original value. The dielectric constant of the material is :

The speed of light in a material medium is given by :

In Young's double slit experiment, the width of the fringes obtained with light of wavelength 6000 \( \text{\AA} \) is 3.0 mm. If the entire apparatus is immersed in a liquid medium of refractive index 1.50, then the fringe width would be

There are two thin parallel charged sheets having surface charge density \( \sigma \) placed at a small distance apart. Which of the following statements are correct?
(A) If both the sheets are positively charged, then the electric field between them is \( \sigma/\epsilon_0 \)
(B) If both the sheets are negatively charged, then the electric field between them is \( \sigma/\epsilon_0 \)
(C) If the left sheet is positively charged and the right sheet is negatively charged the field between them is \( \sigma/\epsilon_0 \)
(D) If the right sheet is positively charged and the left sheet is negatively charged then the field between them is \( \sigma/\epsilon_0 \)
Choose the correct answer from the options given below:

A long straight wire of radius 'a' carries a steady current 'I'. The current is uniformly distributed across its area of cross-section. The ratio of magnitude of magnetic fields \( B_1 \) at a distance a/2 and \( B_2 \) at a distance 2a from the axis of the wire is :

The value of \(\int \frac{1}{\sqrt{x^2+8 x+9}} d x\) is(Given \(C\) constant of integration):

In an ecosystem, energy flow is:

What is the structural formula for Freon-12.

Arrange the following evolutionary human species in order of their appearance on earth from the current to the oldest one.
(A) Homo erectus
(B) Neanderthal man
(C) Dryopethicus
(D) Homo sapiens
Choose the correct answer from the options given below:

Reaction of Ethene with Bromine in CCl\(_4\) will result in

While charging the lead storage battery......