Physics Test - ...

The three stable isotopes of neon: \({ }_{10}^{20} \mathrm{Ne},{ }_{10}^{21} \mathrm{Ne}\) and \({ }_{10}^{22} \mathrm{Ne}\) have respective abundances of \(90.51 \%, 0.27 \%\) and \(9.22 \%\). The atomic masses of the three isotopes are \(19.99 \mathrm{u}, 20.99 \mathrm{u}\) and \(21.99 \mathrm{u}\) respectively. Obtain the average atomic mass of neon.

An inductor and a capacitor are connected in an A.C. circuit inductance and capacitance are \(1 \mathrm{H}\) and \(25 \mu \mathrm{F}\) then for maximum current, the angular frequency will be (the circuit is connected in series):

The refractive index of the material of an equilateral prism is \(\sqrt{3}\). What is the angle of minimum deviation?

The gravitational potential energy is maximum at _________.

The driver of an auto-rickshaw moving at a speed of \(36\) km/h, seeing a child standing in the middle of the road, stops his vehicle in exactly \(4.0\) seconds and saves the child. If the auto-rickshaw stops immediately near the child, what is the average damping force on the vehicle? The mass of auto-rickshaw and driver is \(400\) kg and \(65\) kg respectively.

In H₂ molecule (atom) its total energy is proportional to:

The transverse displacement of a string fixed at both ends is given by

\(y=0.06 \sin \left(\frac{2 \pi x}{3}\right) \cos (120 \pi t)\)

\(x\) and \(y\) are in metres and \(t\) is in seconds. The length of the string is \(1.5 \;m\) and its mass is \(3.0 \times 10^{-2} ~kg\). What is the tension in the string?

Work is defined as:

A gas is compressed to half of its initial volume isothermally. The same gas is compressed again until the volume reduces to half through an adiabatic process. Then: