The physical quantity having the dimensions \([M^{-1}L^{-3}T^3A^2]\) is:
1. resistance
2. resistivity
3. electrical conductivity
4. electromotive force

In the circuit shown the value of \(I\) in ampere is: 
       

1. \(1\)
2. \(0.60\)
3. \(0.4\)
4. \(1.5\)

The specific charge of a proton is \(9.6\times10^7~\mathrm{C/kg}\). The specific charge of an alpha particle will be:
1. \(9.6\times10^7~\mathrm{C/kg}\)
2. \(19.2\times10^7~\mathrm{C/kg}\)
3. \(4.8\times10^7~\mathrm{C/kg}\) 
4. \(2.4\times10^7~\mathrm{C/kg}\)

If \(\lambda_1 ~\mathrm{ and}~ \lambda_2\) are the wavelengths of the first members of the Lyman and Paschen series respectively, then  \(\lambda_1 : \lambda_2\) is:
1. \(1:3\)
2. \(1:30\)
3. \(7:50\)
4. \(7:108\)

Activity of a radioactive sample decreases to \(\frac{1}{3}\)^rd of its original value in \(3\) days. Then, in \(9\) days its activity will become:

A tuning fork A produces \(4\) beats/s with another tuning fork B of frequency \(320\) Hz. On filing one of the prongs of A, \(4\) beats are again heard when sounded with the same fork B. Then, the frequency of fork A before filing is:
1. \(328\) Hz
2. \(316\) Hz
3. \(324\) Hz
4. \(320\) Hz

If there were no gravity, which of the following would not be there for a fluid?
1. Viscosity
2. Surface tension
3. Pressure
4. Archimedes upward thrust

A choke is preferred to resistance for limiting current in AC circuit because:

The velocity-time curve for a body projected vertically upwards is:
1. parabola
2. ellipse
3. hyperbola
4. straight line

If \(r_1\) and \(r_2\) are the radii of the atomic nuclei of mass numbers \(64\) and \(125\) respectively, then the ratio \(\frac{r_1}{r_2}\) is:
1. \(\frac{64}{125}\)
2. \(\sqrt{\frac{64}{125}}\)
3. \(\frac54\)
4. \(\frac45\)