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A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is:
Identify the major product obtained in the following reaction:
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:
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 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:
The peak voltage of the AC source is equal to:
An AC source is connected to a capacitor C. Due to a decrease in its operating frequency:
A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time a viscous fluid of mass $m$ is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period:
A black body is at a temperature of $5760\text{ K}$. The energy of radiation emitted by the body at a wavelength of $250\text{ nm}$ is $U_1$, at a wavelength of $500\text{ nm}$ is $U_2$ and that at $1000\text{ nm}$ is $U_3$. Given Wien's constant $b=2.88 \times 10^6\text{ nm K}$, which of the following is correct?
An AC source is connected to the given circuit. The value of $\phi$ will be:
The M.I. of a body about the given axis is $1.2 \text{ kg m}^2$. Initially, the body is at rest. In order to have a rotational kinetic energy of 1500 J, an angular acceleration of $25 \text{ rad/s}^2$ must be applied about that axis for a duration of:
In the given circuit, the reading of voltmeter V1 and V2 are 300 V each. The reading of the voltmeter V3 and ammeter A are respectively:
L, C and R represent the value of inductance, capacitance, and resistance, respectively. The factor which has the same dimensions as that of the inverse of the resonance frequency is:
Consider a system of two particles having masses $m_1$ and $m_2$. If the particle of mass $m_1$ is pushed towards the centre of mass of particles through a distance $d$, by what distance would the particle of the mass $m_2$ move so as to keep the centre of mass of particles at the original position?
From a circular disc of radius $R$ and mass $9M$, a small disc of mass $M$ and radius $R/3$ is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is:
A transformer is used to light a 100 W and 110 V lamp from a 220 V main. If the main current is 0.5 A, the efficiency of the transformer is approximately: