The fringe width in Young's double slit experiment is \( 2.4 \times 10^{-4} \, \text{m} \), when red light of wavelength 6400 \( \text{\AA} \) is used. The decrease in the fringe width, if light of wavelength 4000 \( \text{\AA} \) is used instead of red light, will be:

Photo electric effect reveals the:

A circular coil with 5 turns, each of radius 7 cm, carries a current of 1.4 A. The magnetic field at the center of the coil is:

Six charges each +3q are placed at the corners of a regular hexagon of each side 'a'. The electric field at the center of the hexagon is:

The element having the highest binding energy per nucleon among the following is :

In an AC generator when the plane of the armature is perpendicular to the magnetic field, what will be the magnitude of the magnetic flux passing through the coil and the emf induced in the coil be ?

The resistivity of a wire depends on :
(A) its length
(B) its area of cross-section
(C) its temperature
(D) nature of material
(E) voltage applied across it
Choose the correct answer from the options given below :

Read the passage carefully and answer the Questions
Carbonyl compounds such as aldehydes, ketones, and carboxylic acids play an important role in the biochemical process of plants and animal kingdom.
Many aldehydes and ketones find applications in dye, perfumery and other industries.
The carbonyl carbon stom is \(s p^2\)-hybridized forming three sigma and one pi-bond with oxygen.
C-O bonds are polar bond due to high electronegativity of oxygen than carbon.
Hence the carbonyl carbon behaves as an electrophilic center and oxygen as a nucleophilic centre.
Primary and secondary alcohols yield aldehydes and ketones respectively upon oxidation with variety of oxidizing agents.
The boiling points of aldehydes and ketones differ from hydrocarbons and ethers.
Aldehydes and ketones undergo nucleophilic addition reaction due to presence of electrophilic carbonyl carbon.
Nucleophile and a proton add across the carbon oxygen double bond.
The starting compound Y in the following reaction is
\(\text{Y}\) \(\xrightarrow{\text{oxidation}}\) \(\text{aldehyde}\) \(\xrightarrow{\text{oxidation}}\) \(\text{carboxylic acids}\)

Zoological parks, botanical gardens and wildlife safari parks are examples of:

For \(y=x e^x\), which of the following is correct ?

A charged particle with charge 0.01 C rotates on a circular path of radius 0.5 m , with velocity \(0.2 m / s\). What is the value of \(B\) at the center of the circle ?

A galvanometer of resistance \(76 \Omega\) gives full scale deflection when only \(5 \%\) of total current passes through it. The value of shunt is :

A telescope has an objective of focal length 50 cm and eyepiece of focal length 5 cm. The least distance of distinct vision is 25 cm. The telescope is focused for distant vision on a scale 200 cm away from the objective. Calculate the separation between objective and eyepiece :