If \(11 \%\) of the power of a 200 W bulb is converted to visible radiation, then the intensity of the light at a distance of 100 cm from the bulb is

The time constant of inductance coil is \(3 \mathrm{~m} \mathrm{~s}\). When a \(90 \Omega\) resistance is joined in series, then the time constant becomes \(0.5 \mathrm{~m} \mathrm{~s}\). The inductance and the resistance of the coil are

Consider the following statements \(A\) and \(B\) and identify the correct answer

A. In an elastic collision, if a body suffers a head on collision with another of same mass at rest, then the first body comes to rest while the other starts moving with the velocity of the first one.

B. Two bodies of equal mass suffering a head on elastic collision merely exchanges their velocities

The magnitude of the electric field of a plane electromagnetic wave travelling in free space is \(E\). If \(\mu_0\) and \(\varepsilon_0\) are respectively permeability and permittivity of the free space, then the magnitude of magnetic field of the wave is

The potential is varying with distance \((\mathrm{x})\) as \(\mathrm{V}=\frac{1}{2}\) \(\left(\mathrm{y}^2-4 \mathrm{x}\right)\) volt. The electric field at \(\mathrm{x}=1 \mathrm{~m}\) and \(\mathrm{y}=1 \mathrm{~m}\) is

The elastic energy stored per unit volume in terms of longitudinal strain ' \(\epsilon\) ' and Young's modulus ' \(Y\) ' is

A car is moving with a velocity of \(4 \mathrm{~m} \mathrm{~s}^{-1}\) towards east. After a time of 4 s, if it is heading north-east with a velocity of \(4 \sqrt{2} \mathrm{~m} \mathrm{~s}^{-1}\), then the average velocity of the car is

If a Polynomial \(x^4+x^2+1\) is divisible by \(x^2+m x+1\) and \(x^2+n x+1\). Then \(m+n\) is equal to
(1) 2
(2) 0
(3) 3
(4) 4

Three charged particles of each mass \(0.1 \mathrm{~g}\) and charge ' \(\mathrm{q}\) ' are suspended from a common rigid point by insulated massless threads of each \(1 \mathrm{~m}\) long. If the three particles are in equilibrium and are located at the corners of an equilateral triangle of side \(3 \mathrm{~cm}\), the charge ' \(q\) ' on each particle is ____ \(\mathrm{nC}\). (The angle made by the line joining the centroid of the triangle and the point of suspension with the vertical is very small).
(Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) and \(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\) )

Isomerisation of gaseous cyclobutene to butadiene is a first order reaction. At \(\mathrm{T}(\mathrm{K})\), the rate constant of the reaction is \(3.3 \times 10^{-4} \mathrm{~s}^{-1}\). What is the time required (in min ) to complete \(90 \%\) of this reaction at the same temperature? \((\log 2=0.3)\)

For a monoatomic ideal gas following the cyclic process $ABCA$ shown in the $U$ vs $\rho$ plot, identify the incorrect option:

According to Rayleigh, when sunlight travels through atmosphere, the amount of scattering is proportional to \(\mathrm{n}^{\text {th }}\) power of wavelength of light. Then the value of ' \(n\) ' is

A magnet suspended in a uniform magnetic field is heated so as to reduce its magnetic moment by \(19 \%\), By doing this, the time period of the magnet approximately