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If the radius of the second Bohr orbit of the $He^+$ ion is $105.8 \text{ pm}$, what is the radius of the third Bohr orbit of the $Li^{2+}$ ion?

If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of Li² are:

If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV² are:

In S = a + bt + ct², S is measured in metres and t in seconds. The unit of c will be:

If the energy value is $E = 3.03 \times 10^{-19} \text{ Joules}$, ($h = 6.6 \times 10^{-34} \text{ J s}$, $c = 3 \times 10^8 \text{ m/s}$), then the value of the corresponding wavelength is:

A cube has a numerically equal volume and surface area. The volume of such a cube is :

Isotope of an element contains 19.23% more neutrons as compared to protons. The correct element along with its mass number is: (Given Atomic number Fe: 26, Co: 27)

If C and L denote capacitance and inductance respectively, then the dimensions of LC are:

Unit of power is:

In an experiment, the percentage errors that occurred in the measurement of physical quantities $A$, $B$, $C$, and $D$ are $1\%$, $2\%$, $3\%$, and $4\%$ respectively. Then, the maximum percentage of error in the measurement of $X$, where $X = \frac{A^2 B^{1/2}}{C^{1/3} D^3}$, will be:

Enzymes that utilize ATP in phosphate transfer require an alkaline earth metal (M) as the cofactor. M is:

The unit of self inductance of a coil is

Volt/metre is the unit of

The velocity of a particle depends upon time as $v = a + bt + ct^2$; if the velocity is in m/sec, the unit of $a$ will be:

Which of the following is a basic amino acid?

Time intervals measured by a clock give the following readings: $1.25 \text{ s}, 1.24 \text{ s}, 1.27 \text{ s}, 1.21 \text{ s}, 1.28 \text{ s}$. What is the percentage relative error of the observations?

The number of particles crossing a unit area perpendicular to the $x$-axis in unit time is given by $n = -D\frac{n_2 - n_1}{x_2 - x_1}$, where $n_1$ and $n_2$ are the number of particles per unit volume for the value of $x$ equal to $x_1$ and $x_2$ respectively. The dimensions of $D$, known as the diffusion constant, will be:

The unit of specific resistance is:

Inductance $L$ can be dimensionally represented as:

The dimensions of Planck's constant and angular momentum are respectively: