Question Bank Directory

If the error in the measurement of the radius of a sphere is $2\%$, then the error in the determination of the volume of the sphere will be:

The dimensional formula of relative density is:

Plane angle and solid angle have:

A body of mass $60 \text{ g}$ experiences a gravitational force of $3.0 \text{ N}$ when placed at a particular point. The magnitude of the gravitational field intensity at that point is:

Planck's constant ($h$), speed of light in vacuum ($c$) and Newton's gravitational constant ($G$) are three fundamental constants. Which of the following combinations of these has the dimensions of length?

The energy required to break one bond in DNA is $10^{-20}\text{ J}$. This value in eV is nearly:

The work done to raise a mass $m$ from the surface of the earth to a height $h$, which is equal to the radius of the earth, is:

A spherical planet has a mass $M_p$ and diameter $D_p$. A particle of mass $m$ falling freely near the surface of this planet will experience acceleration due to gravity equal to:

If energy ($E$), velocity ($v$) and time ($T$) are chosen as the fundamental quantities, the dimensional formula of surface tension will be

What is the maximum numbers of electrons that can be associated with the following set of quantum numbers? n=3, l = 1 and m=-1

The figure shows the elliptical orbit of a planet $m$ about the sun $S$. The shaded area $SCD$ is twice the shaded area $SAB$. If $t_1$ is the time for the planet to move from $C$ to $D$ and $t_2$ is the time to move from $A$ to $B$, then:

Increase in temperature of a gas filled in a container would lead to :

The ions O²⁻, F⁻, Na⁺, Mg²⁺, and Al³⁺ are isoelectronic. Their ionic radii show:

A body of mass $m$ is taken from the Earth’s surface to the height equal to twice the radius ($R$) of the Earth. The change in potential energy of the body will be:

Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful?

The number of orbitals indicated by the following set of quantum numbers, $n = 3, l = 2, m = +2$ is:

In a vernier callipers, $(N+1)$ divisions of the vernier scale coincide with $N$ divisions of the main scale. If $1 \text{ MSD}$ represents $0.1 \text{ mm}$, the vernier constant (in cm) is:

Which of the following molecule/ion is not paramagnetic:

The value of Planck's constant is $6.63 \times 10^{-34} \text{ J s}$. The velocity of light is $3.0 \times 10^8 \text{ m s}^{-1}$. The closest value to the wavelength in nanometers of a quantum of light with a frequency of $8 \times 10^{15} \text{ s}^{-1}$ is:

The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are: