Two point charges, \(+2 \mu C\) and \(-3 \mu C\), are separated by a distance of 20 cm in the air. At what point between the two charges and on the line joining the two charges is the electric potential zero?
(Take the potential at infinity to be zero)

By using Einstein photoelectric equation, if we consider kinetic energy of photo electrons on y-axis and frequency of incident radiation on x-axis. The slope of the graph will represent (the symbols have their usual meanings)

If \(E _{ p }\) and \(E _{ k }\) represents the potential and kinetic energy respectively of an orbital electron, then according to Bohr's theory.

A bulb is rated 40 W for a 220 V supply. The peak voltage of the supply is:

Which of the followings should be doped with pure silicon to get an n-type and p-type semiconductors respectively?

Which of the following spectral series is found in the visible region of the hydrogen spectrum ?

Two cells of emf \( E \) and \( 2E \) with internal resistances \( r \) and \( 3r \), respectively are connected in parallel. The emf and internal resistance of the combination is:

Read the passage carefully and answer the Questions
Aldehydes, carboxylic acids and ketones are widespread in the animal and plant kingdoms.
They play a pivotal role in various biochemical processes of life. Their presence in nature adds fragrance and flavor. These compounds are widely used in food products, pharmaceuticals, paints, resins and other important product industries. These compounds are prepared by various laboratory methods, which mainly include oxidation, formylation, acylation and reduction. Due to the polar nature of the carbonyl group in aldehydes and ketones, they can exhibit different reactions like nucleophilic addition. They do exhibit redox and various condensation reactions which lead to the formation of various important compounds. On the other hand, the carboxylic acids are mainly prepared by oxidation and hydrolysis of different compounds. The carboxylic acid consists of a carbonyl group and the hydroxy group (attached to the carbonyl carbon atom). This makes it possible for the carboxylic acid to participate in various chemical reactions which involve cleavage of the C-OH bond and the O_H bond along with the reactions involving the complete -COOH group.
The products formed when 2,2-Dimethylpropan-1-al is heated with concentrated KOH are :

We should not allow mosquitoes to breed in our surroundings because
they

Four double convex lenses, with the following specifications are available:

Lens	Focal Length	Aperture
A	100cm	10cm
B	100cm	5cm
C	10cm	2cm
D	5cm	2cm

Which two of the given four lenses should be selected as the objective and eye-piece to construct an astronomical telescope?

Free living soil bacteria which can fix atmospheric nitrogen is.

Let \(A=\{1,2,3\}\), then the possible equivalence relations on \(A\) are :
(A) \(\{(1,1),(2,2),(3,3)\}\)
(B) \(\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\)
(C) \(\{(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)\}\)
(D) \(\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\)
Choose the correct answer from the options given below :

Which of the following is incorrect about the Linear Programming Problem (LPP)?