Some heat is developed in a uniform metallic wire across the ends of which a constant voltage V is applied. The heat developed will be tripled if

A solenoid with an iron core and a bulb are connected to an a.c. source. The bulb is glowing with certain brightness. When the iron core is removed from the solenoid, the brightness of the bulb

At a certain place, the horizontal component is \(B_0\) and the vertical component is \(V_0\). If \(B_0 = V_0\) then the total magnetic field at that place will be :

To increase the current sensitivity of a moving coil galvanometer by 75%, its resistance is increased so that the new resistance becomes twice its initial resistance. By what factor does its voltage sensitivity change ?

In the experimental arrangement for study of photoelectric effect given below, P, Q, R and S, respectively are:

(A) Commutator
(B) Evacuated Glass Tube
(C) Photosensitive Plate
(D) Quartz Window

The radius of innermost electron orbit of a hydrogen atom is \( 5.3 \times 10^{-11} \text{ m} \). What is the radius of n = 2 orbit ?

In a region of constant potential,

The general solution of the differential equation \(x\frac{d y}{d x}+2 y=x^2,x\neq 0\) is:

Identify the optically active compounds from the following:
(A) \(\left[ Co ( en )_3\right]^{3+}\)
(B) trans \(-\left[ Co ( en )_2 Cl _2\right]^{+}\)
(C) cis- \(\left[ Co ( en )_2 Cl _2\right]^{+}\)
(D) \(\left[ Cr \left( NH _8\right)_5 Cl \right]\)
Choose the correct answer from the options given below:

Match List 1 with List 2.

List 1	List 2
(A) Perpetuity	(I) A person deposits a fixed amount every year in his bank account to renovate his house after \(10\) yrs.
(B) EMI	(II) A person deposits an amount regularly in his bank account and withdraws in case of need.
(C) Sinking Fund	(III) A fixed amount is debited from the bank account of a person, every month, against a personal loan.
(D) Saving Account	(IV) A person purchased a house and rents it out.

Choose the Correct answer from the options given below :

The reactance of a circuit is zero. It is possible that the circuit contains:
A. an inductor and a capacitor
B. an inductor but no capacitor
C. a capacitor but no inductor
D. Neither inductor nor capacitor
Choose the correct answer from the options given below:

The property of a medium which determines the electric force between two charges situated in the medium is

Read the passage carefully and answer the questions
Alcohols and phenols are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively is replaced by -OH group. These are further classified on the basis of number of hydroxy groups and according to the hybridization of the carbon atom \(sp ^2\) or \(sp ^3\) to which the -OH group is attached. They find applications in industry as well as in day-to-day life. One of the most commercially obtained alcohol also known as wood spirit is obtained by destructive distillation of wood. Both alcohols and phenols are acidic in nature. The acidity of alcohols and phenols vary according to the nature of substituent(s) attached to them. Alcohols and phenols react with carboxylic acids, acid chlorides and acid anhydrides to form esters. Introduction of acetyl group in alcohols and phenols is called acetylation. Phenol undergo electrophilic aromatic substitution reaction because the -OH activates the benzene ring. It undergoes nitration, halogenation and sulphonation reactions.
When phenol is treated with concentrated sulphuric acid, then it gets converted into phenol-2,4-disulphonic acid \(( X )\). On further treatment of X with conc. nitric acid, product Y is formed. Identify Y .