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Identify the major product obtained in the following reaction:
In the following circuit, the output Y for all possible inputs A and B is expressed by the truth table:
Two periodic waves of intensities $I_1$ and $I_2$ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is:
The correct increasing order of basic strength of the given molecules is: (I) (II) (III)
A coil of self-inductance L is connected in series with a bulb B and an AC source. The brightness of the bulb decreases when:
A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6A, the voltage across the secondary coil and the current in the primary coil respectively are:
If the radius of the earth is suddenly contracted to half of its present value, then the duration of the day will be of:
Four identical thin rods each of mass $M$ and length $t$, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is:
The instantaneous values of alternating current and voltages in a circuit are given as $i = \frac{1}{\sqrt{2}} \sin(100\pi t)$ ampere and $e = \frac{1}{\sqrt{2}} \sin(100\pi t + \pi/3)$ volt. The average power in Watts consumed in the circuit is:
A step-down transformer connected to an AC mains supply of 220 V is made to operate at 11 V, 44 W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?
For the circuit shown in the figure, the time constant is:
A solid cylinder of mass $3 \text{ kg}$ is rolling on a horizontal surface with a velocity of $4 \text{ ms}^{-1}$. It collides with a horizontal spring of force constant $200 \text{ Nm}^{-1}$. The maximum compression produced in the spring will be:
A solid sphere is rotating about a diameter at an angular velocity $\omega$. If it cools so that its radius reduces to $\frac{1}{n}$ of its original value, its angular velocity becomes:
A standard filament lamp consumes 100 W when connected to a 200 V AC mains supply. The peak current through the bulb will be:
The peak voltage of the AC source is equal to:
In an ideal transformer, the turns ratio is $N_p/N_s = 1/2$. The ratio $V_s:V_p$ is equal to (the symbols carry their usual meaning):
A mass $m$ moves in a circle on a smooth horizontal plane with velocity $v_0$ at a radius $R_0$. The mass is attached to a string that passes through a smooth hole in the plane, as shown in the figure. The tension in the string is increased gradually and finally, $m$ moves in a circle of radius $\frac{R_0}{2}$. The final value of the kinetic energy is:
A solid cylinder of mass $2 \text{ kg}$ and radius $4 \text{ cm}$ is rotating about its axis at the rate of $3 \text{ rpm}$. The torque required to stop after $2\pi$ revolutions is:
An AC source is connected to a capacitor C. Due to a decrease in its operating frequency:
The maximum elongation of a steel wire of $1 \text{ m}$ length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^8 \text{ N m}^{-2}$ and $2 \times 10^{11} \text{ N m}^{-2}$, is: