Physics Test - ...

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure. Themagnitude of the field increases with time. I1 and I2 are the currents in the segments ab and cd. Then,

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 4/3 s is

Cv and Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

A tiny spherical oil drop carrying a net charge q is balanced in still air with a vertical uniform electric field of strength 81π/7 *10^5 Vm^−1. When the field is switched off, the drop is observed to fall with terminal velocity 2 × 10^−3 ms^−1. Given g = 9.8 ms^−2, viscosity of the air = 1.8 × 10^−5 Ns m^−2 and the density of oil = 900 kg m^−3 , the magnitude of q is

To determine the half life of a radioactive element, a student plots a graph of ln|dN(t)/dt| versus t. Here dN(t)/dt is the rate of radioactive decay at time t. If the number of radioactive nuclei of this element decreases by a factor of p after 4.16 years, the value of p is

At time t = 0, a battery of 10 V is connected across points A and B in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them becomes 4 volt? [take ln 5 = 1.6, ln 3 = 1.1]

The key feature of Bohr’s theory of spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of a diatomic molecule assuming it to be rigid. The rule to be applied is Bohr’s quantization condition. A diatomic molecule has moment of inertia I. By Bohr’s quantization condition its rotational energy in the nth level (n = 0 is not allowed) is

Under the influence of the coulomb field of charge +Q, a charge −q is moving around it in an elliptical orbit. Find out the correct statement(s).

A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction between them is √3 . The inclination θ of this inclined plane from the horizontal plane is gradually increased from 0°. Then

The key feature of Bohr’s theory of spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of a diatomic molecule assuming it to be rigid. The rule to be applied is Bohr’s quantization condition. In a CO molecule, the distance between C (mass = 12 a.m.u) and O (mass = 16 a.m.u.),where 1 a.m.u. = 5/3 x 10^-27 kg, is close to