A steady current flows in a conductor of non-uniform cross-section. The physical quantity which remains constant along the length is :

The total charge of an electric dipole is (Where 'q' is the point charge on either side of the dipole and 'e' is the charge of an electron)

Three capacitors of capacitance, \( 3 \, \mu \text{F}, 9 \, \mu \text{F} \) and \( 18 \, \mu \text{F} \) respectively are connected once in series and then in parallel. The ratio of equivalent capacitance in series to parallel is :

Which of the following is/are responsible for the formation of Rainbow ?
(A) Dispersion of light
(B) Interference of light
(C) Reflection of light
(D) Refraction of light
Choose the correct answer from the options given below :

One student cuts a magnet of magnetic moment M, into two identical parts perpendicular to its length. The magnetic moment of each part will be

In an experiment with Meter Bridge, with unknown resistance R in the left gap, the null point is obtained at \( l_1 = 40 \text{ cm} \) from the left end. Now a resistance of \( R' = 10 \Omega \) is connected in series with resistance R, the null point is obtained at \( l_2 = 70 \text{ cm} \) from the left end. The value of resistance R is

Match List I with List II

LIST I	LIST II
A. Cyclotron frequency	I. \(\frac{N A B}{K R}\)
B. Magnetic field due to a circular coil	II. \(\frac{q B}{2 \pi m}\)
C. Magnetic field inside a toroid	III. \(\frac{\mu_0 N I}{2 \pi R}\)
D. Voltage sensitivity	IV.\(\frac{\mu_0 I}{2 R}\)

Choose the correct answer from the options given below:

Two photons of equal energy 8 MeV each, strikes two different metal sheets having work functions 4 MeV and 6 MeV, respectively. The ratio of maximum velocity of electrons emitted from two metal sheets respectively is :

Butanone is less reactive than propanal towards nucleophilic addition reaction because :

If the standard electrode potential, \(E_{\text {cell }}^{\circ}=1.10 V\), then the \(E_{\text {cell }}\) for the following reaction at 298 K is
\(Zn ( s )+ Cu ^{2+}(0.1 M ) \rightarrow Zn ^{2+}(0.01 M )+ Cu ( s )\)

Read the passage carefully and answer the questions based on the passage:
Species diversity on earth is not uniformly distributed. It is generally highest in the tropics and decreases towards the poles. Earth's fossil history reveals the incidences of mass extinctions in the past. Earth's rich biodiversity is vital for the very survival of mankind. It is believed that communities with high diversity tend to be less variable and more productive. The reasons of conserving biodiversity are narrowly utilitarian, broadly utilitarian and ethical. Biodiversity conservation may be in-situ as well as ex-situ.
Which of the following hot spots does not cover India's biodiversity regions?

When a ray of light is incident at an angle \( \theta = 60^{\circ} \) on an air-glass interface, the reflected ray is 100 percent plane polarised. The value of the refractive index of the glass with respect to air (\( ^an_g \)) is given by :

On doubling the initial concentration, the half life of a reaction becomes half. The order of the reaction is