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Which one of the following electrons in the ground state will have the least amount of energy?

Dimensional formula for torque is:

Which input (A, B) - output (Y) combination correctly represents the given logic circuit?

Two hollow conducting spheres of radii $R_1$ and $R_2$ ($R_1 \gg R_2$) are concentric and have equal charges. The potential would be:

The angle between the electric lines of force and the equipotential surface is:

A monochromatic infrared range finder of power $1 \text{ milliwatt}$ emits photons with wavelength $1000 \text{ nm}$ in $0.1 \text{ second}$. The number of photons emitted in $0.1 \text{ second}$ is: (Given: $h = 6.626 \times 10^{-34} \text{ J s}$, $c = 3 \times 10^8 \text{ m s}^{-1}$, Avogadro number $= 6.022 \times 10^{23}$)

Unit of stress is:

The velocity $v$ (in $\text{cm/sec}$) of a particle is given in terms of time $t$ (in $\text{sec}$) by the relation $v = at + \frac{b}{t+c}$; the dimensions of $a$, $b$ and $c$ are

The effective capacitances of two capacitors are $3 \text{ \mu F}$ and $16 \text{ \mu F}$, when they are connected in series and parallel respectively. The capacitance of two capacitors are:

In the neutral or faintly alkaline medium, $KMnO_4$ oxidises iodide into iodate. The change in oxidation state of manganese in this reaction is from:

The pair having the same dimensions is:

Which does not have the same unit as others?

In an experiment four quantities $a$, $b$, $c$ and $d$ are measured with percentage error $1\%$, $2\%$, $3\%$ and $4\%$ respectively. Quantity $P$ is calculated as follows $P = \frac{a^3 b^2}{cd}$. The percentage error in $P$ is

The coordination number of Ni in $[Ni(C_2O_4)_3]^{4-}$ is:

Six charges +q, -q, +q, -q, +q and -q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q₀ to the centre of the hexagon from infinity is: (ε₀ - permittivity of free space)

Dimensions of $CR$ are those of:

The equation of a wave is given by $Y = A \sin \omega (\frac{x}{v} - k)$ where $\omega$ is the angular velocity, $x$ is length and $v$ is the linear velocity. The dimension of $k$ is:

Glucose + $x$ Phenyl hydrazine $\rightarrow$ Osazone. '$x$' will be:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The potential (V) at any axial point, at 2 m distance (r) from the centre of the dipole of dipole moment vector P of magnitude, $4\times10^{-6}$ C m, is $\pm 9\times10^3$ V. (Take $1/4\pi\varepsilon_0 = 9\times10^9$ SI units) Reason (R): $V = \pm \frac{2P}{4\pi\varepsilon_0 r^2}$, where r is the distance of any axial point situated at 2 m from the centre of the dipole. In the light of the above statements, choose the correct answer from the options given below:

In Young's double slit experiment, if the wavelength of light used is increased (say from violet to red) then the: