Two bulbs marked 220 V, 200 W and 220 V, 1000 W, respectively, are connected in series to 220 V mains supply. The ratio of heat generated in them, respectively will be

A long solenoid has 500 turns. When a current of 2 A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is \(4 \times 10^{-3} Wb\). The self-inductance of the solenoid is

Which of the following statement(s) is/are incorrect?
(A) The Kirchhoff's laws are equally applicable in alternating current circuit and direct current circuits.
(B) It is not necessary that the wire stretched on the meter bridge must have a uniform cross-sectional area.
(C) The internal resistance of the cell does not affect the reading of the null point in metre bridge.
(D) Electrical potential has no direction, the electrical potential gradient has a direction.

The de Broglie wavelength of an electron, a proton, and an alpha particle are represented by \(\lambda_e, \lambda_p, \lambda_\alpha\) respectively. If kinetic energy of electron, proton and alpha particle is same, then which of the following is correct.

8. An ammeter having internal resistance of \( 0.81 \, \Omega \) can read upto 1A. To convert it into an ammeter reading 0 - 10 A we have to connect :

Arrange the following in the increasing order of their energy band gap
(A) Si
(B) Ge
(C) C
(D) Sn
Choose the correct answer from the options given below:

A surface of area \( \vec{A} = 2\hat{i} - 3\hat{k} \) exists in a region of electric field \( \vec{E} = a\hat{i} + b\hat{j} \). The net flux passing through the surface is

Which among the following is the strongest base in aqueous solution?

Select the correct name for the following reaction:
\(\text { Acetone } \xrightarrow{NH_2 NH_3} \text { Hydrazone } \xrightarrow{KOH / \text { ethylenes syreol, Heet }} \text { Propane }+N_2\)

Let the vectors \(\vec{a}=\hat{i}-3 \hat{j}+2 \hat{k}, \vec{b}=2 \hat{i}+\hat{j}-\hat{k}\) and \(\overrightarrow{ c }=3 \hat{ i }+5 \hat{ j }-2 \lambda \hat{ k }\) be coplanar. Then \(\lambda\) is equal to

Match List-l with List-II

List-l (Amino acid)	List-II (R group)
(A) Alanine	(I) -CH3
(B) Lysine	(II) HO-CH2-
(C) Serine	(III) \(H 2 N-( C H 2) 4-\)
(D) Cysteine	(IV) HS-CH2-

Choose the correct answer from the options given below :

Read the passage carefully and answer the Questions
Carboxylic acids are the earliest organic compounds isolated from nature. These are also known as organic acids but are weaker acids as compared to mineral acids. However, they are more acidic than alcohols and phenols because of greater resonance stabilization of the parent acid and its conjugate base. The acidic strength is determined by the \(K _a\), which is called the acidity constant. The greater the value of \(K _a\), the greater the tendency of the acid to ionize and hence the stronger the acid. The acidic strength of the saturated aliphatic carboxylic acid depends upon the inductive effect and its position with respect to - COOH groups. Electron -donating substituents tend to decrease whereas electron-withdrawing substituents tend to increase the acidic strength. The acidic strength of the aromatic carboxylic acid, on the other hand depends upon both the inductive effect and the resonance effect of the substituents.
Which of the following groups when attached directly does not increase the acidity of the carboxylic acid?

Identify the incorrect statement.
(A) Power meters work on the principle of Eddy currents.
(B) Induction furnace uses eddy currents to produce heat.
(C) Eddy currents can be used to produce braking force in moving trains.
(D) Eddy currents are produced in a steady magnetic field.
Choose the correct answer from the options given below :