A circular coil of radius 2.0 cm carries a current of 1.0 A. If the coil has 50 turns, the magnetic field at the centre of the coil will be:

A cylindrical bar magnet is kept along the axis of circular coil. If the magnet is rotated about its axis, then :

Which of the following is NOT a property of charges?

The correct statement given below are :
(A) \(\chi = 1 + \mu_r\)
(B) \(\mu_r = 1 + \chi\)
(C) \(B = \mu_0(H + M)\)
(D) \(H = \frac{B_0}{\mu_0}\)
(E) \(B_0 = \mu_0 H\)
Here x = magnetic susceptibility
\(\mu_r\)= Relative magnetic permeability
B = Magnetic field
M = Magnetisation
H = Magnetic Intensity
\(\mu_0\)= Magnetic permeability
Choose the correct answer from the options given below:

"The voltage and current in an a.c. circuit are: \( V = 8 \sin(50\pi t - \pi/3) \text{ V}, I = 6 \sin(50\pi t + \pi/3) \text{ A} \).
The correct phase relationship between voltage and current is :

The intensity of transmitted light is maximum when a Polaroid sheet (\( P_2 \)) is rotated between two crossed Polaroids, \( P_1 \) and \( P_3 \) when

A slab of material of dielectric constant k has the same area as the plates of a parallel plate capacitor, but has a thickness \( \frac{3d}{4} \). Where d is the distance between plates of capacitor. The ratio of the capacitance with dielectric inside it to its capacitance without the dielectric is:

In Young's double slits experiment, if the ratio of the width of the two slits is 25 : 1, what is the ratio of intensity at the maxima and minima in the interference pattern?

The vapour pressure of pure water at \(25^{\circ} C\) is 23.75 mmHg.
The vapour pressure of the solution obtained by dissolving 34.2 g of sucrose \(\left( C _{12} H _{22} O _{11}\right)\) in 100 g of water will be :

\((p+q)^2=p^2+2 p q+q^2=1\) represents Hardy Weinberg equation. It is used in:

The electric field amplitude of an electromagnetic wave is \(100 N C ^{-1}\) and its frequency is 50 MHz . What is the magnitude of wave vector \(k\), (given speed of electromagnetic wave is \(3 \times 10^8 m s ^{-1}\) )

Answer the question on the basis of passage given below:
Aldehydes are generally more reactive than ketones in nucleophilic addition reactions due to steric and electronic reasons. Sterically, the presence of two relatively large substituents in ketones hinders the approach of nucleophile to carbonyl carbon more than aldehydes having only one such substituent Electronically aldehydes are more reactive than ketones because two alkyl groups reduce the elctrophilicity of the carbonyl more effectively than in former.
4-Hydroxy-4-methylpentan-2-one and 4-methylpent-3-en-2-one are the products obtained from A by aldol
condensation. \(A\) is:

When red and white flowered parents of snapdragon were crossed, the phenotypic ratio of F2 generation would be: