A coil is placed in a time varying magnetic field. The power dissipated due to current induced in the coil is \(P_1\). If the number of turns is doubled and radius of the wire is halved, the power dissipated is \(P_2\). Then \(P_1: P_2\) is

Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is

A satellite is orbiting the earth. It's orbital radius is reduced to half of its initial value then the change in its total energy is

A double inclined plane as shown in the figure has fixed horizontal base and smooth faces with the same angle of inclination of \(30^{\circ}\). A block of mass \(300 \mathrm{~g}\) is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass \(200 \mathrm{~g}\) kept on another face. The acceleration with which the system of the blocks moves is ........ \% of acceleration due to gravity.

On a temperature scale \(Y\), water freezes at \(-160^{\circ} Y\) and boils at \(-50^{\circ} Y\). On this \(Y\) scale, a temperature of \(340 \mathrm{~K}\) is

Four positive point charges \(+q\) are kept at the four corners of a square of side \(l\). The net electric field at the mid-point of any one side of the square is
\[
\left(\text { Take, } \frac{1}{4 \pi \varepsilon_0}=k\right)
\]

The heat supplied to a gas at a constant pressure of \(5 \times 10^5 \mathrm{~Pa}\) is 1000 kJ. If the volume of gas changes from \(1 \mathrm{~m}^3\) to \(2.5 \mathrm{~m}^3\), then the change in internal energy of the gas is

In order to eliminate the first degree terms from the equation \(2 x^2+4 x y+5 y^2-4 x-22 y+7=0\), the point to which origin is to be shifted, is

Two masses \(m_1\) and \(m_2\) are connected by a light string passing over smooth pulley. When set free \(m_1\) moves downwards by 3 m in 3 s . The ratio of \(\frac{m_1}{m_2}\) is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

Identify the correct statements from the following:
$\mathrm{I})$ When $\mathrm{DNA}$ is hydrolysed, adenine and thymine are obtained in equal quantities.
$\mathrm{II})$ When $\mathrm{RNA}$ is hydrolysed, adenine and uracil are obtained in equal quantities.
$\mathrm{III})$ Amylose is branched polymer with $\mathrm{\alpha }1\to 4$ and $\mathrm{\alpha }1\to 6$ glycosidic linkages.
$\mathrm{IV})$ Addison disease is due to the abnormal functioning of adrenal cortex.

From the following, identify the reactions which are responsible for depletion of ozone layer.
\(\begin{aligned}
& \mathrm{Cl} \dot{\mathrm{O}}(g)+\mathrm{NO}_2(g) \rightarrow \mathrm{ClONO}_2(g) \\
& \mathrm{CF}_2 \mathrm{Cl}_2(g) \xrightarrow{\text { uv }} \mathrm{Cl}(g)+\dot{\mathrm{CF}}_2 \mathrm{Cl}(g) \\
& \dot{\mathrm{Cl}}(g)+\mathrm{CH}_4(g) \rightarrow \mathrm{HCl}(g)+\dot{\mathrm{C}} \mathrm{H}_3(g) \\
& \dot{\mathrm{C}} \mathrm{l}(\mathrm{g})+\mathrm{O}_3(g) \rightarrow \mathrm{Cl} \dot{\mathrm{O}}(g)+\mathrm{O}_2(g) \\
& \mathrm{Cl} \dot{\mathrm{O}}(g)+\mathrm{O}(g) \rightarrow \dot{\mathrm{C}} \mathrm{l}(g)+\mathrm{O}_2(g)
\end{aligned}\)

The flux used in the preparation of wrought iron from cast iron in reverberatory furnace is

Two circular loops of diameters \(0.6 \mathrm{~cm}\) and \(40 \mathrm{~cm}\) are kept coaxially with a separation of \(15 \mathrm{~cm}\) between their centres. If a current \(2 \mathrm{~A}\) flows through the smaller loop, then the flux linked with the bigger loop is (approximately)