Physics Test - ...

A particle in simple harmonic motion is described by displacement function \(\mathrm{x}(\mathrm{t})=\mathrm{A} \cos (\omega \mathrm{t}+\phi)\) If the initial position of the particle is \(1 \mathrm{~cm}\) and initial velocity is \(\pi \mathrm{cm} / \mathrm{s}\), then what is its amplitude and initial phase? Let angular frequency of particle be \(\pi\) per second.

Three weights w, 2w, and 3w are connected to an identical spring suspended from a rigid horizontal rod. The assembly of the rod and the weights fall freely. The position of the weight from the rod is such that:

A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of $75°$. One of the fields has a magnitude of$\sqrt{2}\times {10}^{-2}T$. The dipole attains stable equilibrium at an angle of $30°$ with this field. What is the magnitude of the other field?

In an oscillating LC circuit, the maximum charge on the capacitor is $Q$. The charge on the capacitor, when energy is stored equally between the electric and magnetic fields, is:

In the following figure, the height of the object is H₁ = + 2.5cm. What is the height of the image of H₁?

For the given uniform square lamina $ABCD$ whose centre is $O$, Identify the correct relation.

A circular metal plate of radius 'R' is rotating with a uniform angular velocity 'ω' with its plane perpendicular to a uniform magnetic field B. Then, emf developed between the centre and the rim of the plate is

Directions: The following question has four choices out of which ONLY ONE is correct.

An open knife-edge of mass $M$ is dropped from a height $\text{'}h\text{'}$ on a wooden floor. If the blade penetrates $\text{'}s\text{'}$ into the wood, the average resistance offered by the wood to the blade is:

A radioactive nuclide can decay simultaneously by two different processes, which have individual decay constants ${\lambda }_1$ and ${\lambda }_2$. The effective decay constant of the nuclide $\left(\lambda \right)$ is given by:

The figure shows the variation of photocurrent with anode potential for a photosensitive surface for three different radiations. Let $I_a,I_b$, and $I_c$ be the intensities and ${\nu }_a,{\nu }_b$ and ${\nu }_c$ be the frequencies for the curves $a,b$, and $c$ respectively. Then,