The power of an electric motor is 242 W when connected to a 220 V supply. When the motor is operated at 200 V, the current drawn by it is

A current i flows in an infinitely long, straight and thin walled pipe, then

Consider a vechicle moving with a velocity \(54 \mathrm{~km} / \mathrm{h}\). At a distance of \(400 \mathrm{~m}\), from the traffic light brakes are applied. The acceleration of the vehicle, after the application of brakes is \(-0.3 \mathrm{~m} / \mathrm{s}^2\). The vehicle's position relative to the traffic light is

A gas mixture contains \(n_1\) moles of a monoatomic gas and \(n_2\) moles of gas of rigid diatomic molecules. Each molecule in monoatomic and diatomic gas has 3 and 5 degrees of freedom respectively. If the adiabatic exponent \(\left(\frac{C_p}{C_V}\right)\) for this gas mixture is 1.5 , then the ratio \(\frac{n_1}{n_2}\) will be

A gas is suddenly compressed such that its absolute temperature is doubled. If the ratio of the specific heat capacities of the gas is 1.5, then the percentage decrease in the volume of the gas is

\(6 \Omega\) and \(12 \Omega\) resistors are connected in parallel. This combination is connected in series with a \(10 \mathrm{~V}\) battery and \(6 \Omega\) resistor. What is the potential difference between the terminals of the \(12 \Omega\) resistor?

Match the following table. \begin{array}{|c|c|c|c|} \hline & List-I & & List-II \ \hline A. & \begin{array}{l}\text { Michelson-Morley } \ \text { experiment }\end{array} & I. & \begin{array}{l}\text { The existence of } \ \text { anti-matter }\end{array} \ \hline B. & \begin{array}{l}\text { Stern-Gerlach } \ \text { experiment }\end{array} & II. & \begin{array}{l}\text { The existence of } \ \text { de-Broglie matter waves }\end{array} \ \hline C. & \begin{array}{l}\text { Davisson-Germer } \ \text { experiment }\end{array} & III. & Electrons have spins \ \hline D. & \begin{array}{l}\text { Anderson discovery } \ \text { of positron }\end{array} & \mathrm{IV}. & \begin{array}{l}\text { The non-existence of } \ \text { ether }\end{array} \ \hline \end{array} \(\begin{array}{llll}A & B & C & D\end{array}\)

A bar magnet has coercivity \(4 \times 10^3 \mathrm{Am}^{-1}\). It is placed inside a solenoid of \(12 \mathrm{~cm}\) length and 60 turns. The current that should be passed through the solenoid to demagnetise the bar magnet is

A galvanometer, having a resistance of \(50 \Omega\), gives a full scale deflection for a current of 0.05 A. The length in metre of a resistance wire of area of cross-section \(2.97 \times 10^{-2} \mathrm{~cm}^2\) that can be used to convert the galvanometer into an ammeter which can read a maximum of 5 A current is : (Specific resistance of the wire\(\left.=5 \times 10^{-7} \Omega-\mathrm{m}\right)\)

A cannon placed on a cliff at a height of 375 m fires a cannon ball with a velocity of \(100 \mathrm{~ms}^{-1}\) at an angle of \(30^{\circ}\) above the horizontal. The horizontal distance between the cannon and the target is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

If a bar magnet of moment \(10^{-4} \mathrm{Am}^2\) is kept in a uniform magnetic field of \(12 \times 10^{-3} \mathrm{~T}\) such that it makes an angle of \(30^{\circ}\) with the direction of magnetic field, then the torque acting on the magnet is

The inductance L, Capacitance C and resistance R are the values of the components connected in series to an ac source of angular frequency \(\omega\). The inductive and capacitive reactances are \(X_L\) and \(X_C\) respectively. If the circuit is purely resistive, then

A particle of mass $m$is attached to four springs with spring constant $k,k,2k$ and $2k$ as shown in the figure. Four springs are attached to the four corners of a square and a particle is placed at the center. If the particle is pushed slightly towards any side of the square and released, the period of oscillation will be