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. $\frac45$