Match the following physical quantities with their respective dimensional formulas.
For a particle executing simple harmonic motion, match the following statements (conditions) from column I to statements (shapes of graph) in column II.
A current-carrying coil experiences a torque due to a magnetic field. The value of the torque is 80% of the maximum possible torque. The angle between the magnetic field and the normal to the plane of the coil is
In the figure, if A & B are identical bulbs, which bulb glows brighter?
In the given digital circuit, if the inputs are \( A = 1, B = 1 \) and \( C = 1 \), then the values of \( y_1 \) and \( y_2 \) are respectively
A force of \( (6x^2 - 4x + 3) \, \text{N} \) acts on a body of mass 0.75 kg and displaces it from \( x = 5 \, \text{m} \) to \( x = 2 \, \text{m} \). The work done by the force is
The displacement of a particle executing simple harmonic motion is \( y = A \sin(2\pi t + \phi) \, \text{m} \), where \( t \) is time in seconds and \( \phi \) is the phase angle. At time \( t = 0 \), the displacement and velocity of the particle are 2 m and 4 ms-1. The phase angle, \( \phi \) =
Two particles of equal mass \( m \) and equal charge \( q \) are separated by a distance of 16 cm. They do not experience any force. The value of \( \frac{q}{m} \) is (if \( G \) is the universal gravitational constant and \( g \) is the acceleration due to gravity).
In the following diagram, the work done in moving a point charge from point P to point A, B and C are \( W_A, W_B, W_C \) respectively. Then (A, B, C are points on semicircle and point charge \( q \) is at the centre of semicircle)
Four condensers each of capacitance 8 muF are joined as shown in the figure. The equivalent capacitance between the points A and B will be
The resistance between points A and C in the given network is
A wire shaped in a regular hexagon of side 2 cm carries a current of 4 A. The magnetic field at the centre of the hexagon is.
The domain in ferromagnetic material is in the form of a cube of side 2 mum. Number of atoms in that domain is \(9 \times 10^{10}\) and each atom has a dipole movement of \(9 \times 10^{-24} \, \text{Am}^2\). The magnetisation of the domain is (approximately).
