Physics Test - ...

A sonometer wire, with a suspended mass of \(M=1 \mathrm{~kg}\), is in resonance with a given tuning fork. The apparatus is taken to the moon where the acceleration due to gravity is \(\frac{1}{6}\) that on earth. To obtain resonance on moon, the value of \(M\) should be

The moment of inertia of a circular ring of radius ' \(\mathrm{R}\)' and mass '\(\mathrm{M}\)' about diameter is:

The work function of a metal surface is \(3.5 \mathrm{eV}\). If this surface is illuminated by monochromatic light of frequency \(6.4 \times 10^{14} \mathrm{~Hz}\), then find the maximum kinetic energy of the photoelectrons.

Action and reaction forces are:

Two stones are thrown up simultaneously from the edge of a cliff \(240~m\) high with initial speed \(10~m/s\) and \(40~m/s\) respectively. Which of the following graph best represents the time variation of the relative position of the second stone with respect to the first?

(Assume stones do not rebound after hitting the ground and neglect air resistance, take \(g=10~m/s^{2}\))

A capillary tube of radius \(0.5 \mathrm{~mm}\) is dipped vertically in a liquid of surface tension \(0.04 \mathrm{~N} / \mathrm{m}\) and density \(0.8 \mathrm{~g} / \mathrm{cc}\). Calculate the height of the capillary rise, if the angle of contact is \(10^{\circ} .\left(\cos 10^{\circ}\right.\) \(=0.98, g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) )

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of \(30^{\circ}\) with each other. When suspended in a liquid of density \(0.8 \mathrm{gcm}^{-3}\), the angle remains the same. If density of the material of the sphere is \(1.6 \mathrm{gcm}^{-3}\), the dielectric constant of the liquid is:

A box is floating in the river of speed \(5 {~m}/{s}\). The position of the block is shown in the figure at \({t}=0 .\) A stone is thrown from point \(O\) at time \(t=0\) with a velocity \(v=\left(v_{1} \hat{\imath}+v_{2} \hat{\jmath}+40 \hat{k}\right) m/ s\). Find the value of \(v_{1}, v_{2}\) such that the stone hits the box.

The value of alternating emf E in the given circuit will be:

What happens to the normal force on a boy if he throws a ball vertically upwards?