Question Bank Directory

Young's modulus of a material has the same units as:

From the given equation, certain conclusions are drawn: $E = -2.178 \times 10^{-18} \text{ J } \left(\frac{Z^2}{n^2}\right)$. Choose the incorrect statement:

The orientation of an atomic orbital is governed by:

A particle of mass $4M$ at rest splits into two particles of mass $M$ and $3M$. The ratio of the kinetic energies of mass $M$ and $3M$ would be:

Be²⁺ is isoelectronic with which of the following ions?

Uncertainty in position of an electron ($e^-$) and Helium atom (He) is similar. If uncertainty in momentum of electron is $32 \times 10^5$, then uncertainty in momentum of Helium will be:

A sphere of mass $m$ is tied to the end of a string of length $l$ and rotated through the other end along a horizontal circular path with speed $v$. The work done by the centripetal force in a full horizontal circle is:

The potential energy of a certain spring when stretched through a distance 'S' is $10 \text{ joule}$. The amount of work (in joule) that must be done on this spring to stretch it through an additional distance 'S' will be:

Which of the following pair does not have similar dimensions?

If force ($F$), velocity ($v$) and time ($T$) are taken as fundamental units, then the dimensions of mass are

The area of a rectangular field (in $\text{m}^2$) of length $55.3$ m and breadth $25$ m after rounding off the value, for correct significant digits is:

The product(s) formed from the following reaction is/are:

The density of material in the CGS system of units is $4\text{ g/cm}^3$. In a system of units in which unit of length is $10\text{ cm}$ and unit of mass is $100\text{ g}$, the value of density of material in this system will be:

The intermediate compound 'X' in the following chemical reaction is: $$\text{Toluene} \xrightarrow{CrO_2Cl_2/CS_2} X \xrightarrow{H_3O^+} \text{Benzaldehyde}$$

Which of the following pairs of d-orbitals will have electron density along the axes?

An engine pumps water continuously through a hose. Water leaves the hose with a velocity $v$ and $m$ is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

The mechanical quantity, which has dimensions of reciprocal of mass ($M^{-1}$), is:

A gravitational field is present in a region, and a mass is shifted from $A$ to $B$ through different paths as shown. If $W_1$, $W_2$ and $W_3$ represent the work done by the gravitational force along their respective paths, then:

The spring extends by $x$ on loading, then energy stored by the spring is: (if $T$ is the tension in the spring and $k$ is the spring constant)

The value of $E^{\circ}_{cell}$ for the following reaction is: $Cu^{2+} + Sn^{2+} \rightarrow Cu + Sn^{4+}$ (Given, equilibrium constant is $10^6$)