A metallic rod of length 'L' is rotated with an angular speed of '$$\omega$$' normal to a uniform magnetic field 'B' about an axis passing through one end of rod as shown in figure. The induced emf will be :

A conducting circular loop of radius $$\frac{10}{\sqrt{\pi }}$$ cm is placed perpendicular to a uniform magnetic field of 0.5 T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is :

$12\mathrm{V}$ battery connected to a coil of resistance $6\Omega$ through a switch, drives a constant current in the circuit. The switch is opened in $1\mathrm{ms}$. The emf induced across the coil is $20\mathrm{V}$. The inductance of the coil is :

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$ Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with same geometry and mass. Reason R: For the magnetic bar, Eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar. In the light of the above statements, choose the correct answer from the options given below

Given below are two statements: Statement I : If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double. Statement II : Increasing current sensitivity of a moving coil galvanometer by only increasing the number of turns in the coil will also increase its voltage sensitivity in the same ratio In the light of the above statements, choose the correct answer from the options given below :

An emf of $$0.08\mathrm{V}$$ is induced in a metal rod of length $$10\mathrm{cm}$$ held normal to a uniform magnetic field of $$0.4\mathrm{T}$$, when moves with a velocity of:

Certain galvanometers have a fixed core made of non magnetic metallic material. The function of this metallic material is

The induced emf can be produced in a coil by A. moving the coil with uniform speed inside uniform magnetic field B. moving the coil with non uniform speed inside uniform magnetic field C. rotating the coil inside the uniform magnetic field D. changing the area of the coil inside the uniform magnetic field Choose the correct answer from the options given below:

An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and length 1 m pivoted at its end C on a vertical wall as shown in figure. It is supported by a cable AB such that the system is in equilibrium. The tension in the cable is (Take g = 10 m/s$${}^2$$)

A disc is rolling without slipping on a surface. The radius of the disc is $$R$$. At $$t=0$$, the top most point on the disc is $$\mathrm{A}$$ as shown in figure. When the disc completes half of its rotation, the displacement of point A from its initial position is

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$ Assertion A : An electric fan continues to rotate for some time after the current is switched off. Reason R : Fan continues to rotate due to inertia of motion. In the light of above statements, choose the most appropriate answer from the options given below.

For 1 mol of gas, the plot of pV vs. p is shown below. p is the pressure and V is the volume of the gas What is the value of compressibility factor at point A ?

Arrange the following gases in increasing order of van der Waals constant 'a' A. Ar B. $${\mathrm{CH}}_4$$ C. $${\mathrm{H}}_2\mathrm{O}$$ D. $${\mathrm{C}}_6{\mathrm{H}}_6$$ Choose the correct option from the following.

'$$\mathrm{X}$$' is :

A hydrocarbon ' $\mathrm{X}$ ' with formula ${\mathrm{C}}_6{\mathrm{H}}_8$ uses two moles of ${\mathrm{H}}_2$ on catalytic hydrogenation of its one mole. On ozonolysis, ' $\mathrm{X}$ ' yields two moles of methane dicarbaldehyde. The hydrocarbon ' $\mathrm{X}$ ' is:

But-2-yne is reacted separately with one mole of Hydrogen as shown below : A. A is more soluble than B. B. The boiling point & melting point of A are higher and lower than B respectively. C. A is more polar than B because dipole moment of A is zero. D. $$\mathrm{B}{\mathrm{r}}_2$$ adds easily to B than A. Identify the incorrect statements from the options given below :

Choose the correct set of reagents for the following conversion. trans $$\left(\mathrm{Ph}-\mathrm{CH}=\mathrm{CH}-{\mathrm{CH}}_3\right)\to \mathrm{cis}\left(\mathrm{Ph}-\mathrm{CH}=\mathrm{CH}-{\mathrm{CH}}_3\right)$$

The major products 'A' and 'B', respectively, are

The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is (excluding rearrangement)

The correct sequence of reagents for the preparation of Q and R is :