Physics Test-9...

An \(\mathrm{AC}\) current is given by \(I=I_{0}+I_{1}\) sin \(\omega \mathrm{t}\) then the \(\mathrm{rms}\) value will be:

For a particle executing SHM, the displacement $x$ is given by $x=A\cos \omega t$. Identify the graph which represents the variation of potential energy $\left(PE\right)$ as a function of time t and displacement $x$.

A body moves from a position \(r_{1}=(2 \hat{i}-3 \hat{j}-4 \hat{k}) m\) to a position, \(r_{2}=(3 \hat{i}-4 \hat{j}+5 \hat{k}) m\) under the influence of a constant force \(\mathrm{F}=(4 \hat{\mathrm{i}}+\hat{\mathrm{j}}+6 \hat{\mathrm{k}}) \mathrm{N}\). The work done by the force is:

"Good emitters are good absorbers" is a statement concluded from:

A smooth sphere \(A\) is moving on a frictionless horizontal plane with angular speed \(\omega\) and centre of mass velocity \(\mathrm{V}\). It collides elastically and head on with an identical sphere \(B\) at rest. Neglect friction everywhere. After the collision their angular speeds are \(\omega_{A}\) and \(\omega_{B}\) respectively. Then:

The engine of a car produces an acceleration of \(6 \mathrm{~ms}^{-2}\) in the car. If this car pulls another car of the same mass, then the acceleration would be:

A body starts from rest at time \(t=0\), refer to the acceleration-time graph shown in the figure. The maximum velocity attained by the body will be:

Calculate the force of attraction between two spheres each of mass \(1 \mathrm{~kg}\) separated by \(3 \mathrm{~m}\) and \(\mathrm{G}=6.67 \times 10^{-11} \mathrm{~N} \mathrm{~m}^{2} \mathrm{~kg}^{-2}\).

According to Maxwell's hypothesis, changing electric field gives rise to:

The work function of a certain metal is \(3.31 \times 10^{-19} \mathrm{~J}\). Then, the maximum kinetic energy of photoelectrons emitted by incident radiation of wavelength \(5000 \mathring{A}\) is (Given, \(h=6.62 \times 10^{-34} \mathrm{~J} \mathrm{~s}\), \(\left.c=3 \times 10^{8} \mathrm{~ms}^{-1}, \mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\right)\)

A convex mirror used for rear-view on an automobile has a radius of curvature of 3.00 m. If a bus is located at 5.00 m from this mirror, find the position of the image.

Two small bar magnets are placed in a line with like poles facing each other at a certain distance \(d\) apart. If the length of each magnet is negligible as compared to \(d\), the force between them will be inversely proportional to:

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area \(A=10 \mathrm{~cm}^{2}\) and length \(=20 \mathrm{~cm}\). If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is:

\(\left(\mu_{0}=4 \pi \times 10^{-7} \mathrm{Tm} \mathrm{A}{ }^{-1}\right)\)

A neon sign does not produce: