The electromagnetic waves travel with

• (A) the same speed in all media
• (B) the speed of sound in free space
• (C) the speed of light \( c = 3 \times 10^8 ms^1 \) in solid medium
• (D) the speed of light \( c = 3 \times 10^8 ms^1 \) in fluid medium
• (E) the speed of light \( c = 3 \times 10^8 ms^1 \) in free space

The de Broglie wavelength and kinetic energy of a particle is \( 2000 \AA \) and \( 1 eV \) respectively. If its kinetic energy becomes \( 1 MeV \), then its de Broglie wavelength is

• (A) 2 Å
• (B) 1Å
• (C) 4Å
• (D) 10 Å
• (E) 5 Å

A plane electromagnetic wave travels in free space along X-direction. If the value of B (in tesla) at a particular point in space and time is \( 1.2 \times 10^{-8} \hat{k} \). The value of E (in Vm\(^1\)) at that point is

• (A) \( 1.2\hat{j} \)
• (B) \( 3.6\hat{k} \)
• (C) \( 1.2\hat{k} \)
• (D) \( 3.6\hat{j} \)
• (E) \( 0.4\hat{i} \)

The magnetic flux (in weber) linked with a coil of resistance 10 is varying with respect to time \( t \) as \( \phi = 4t^2 + 2t + 1 \). Then the current in the coil at time \( t = 1 \) second is

• (A) \( 0.5 A \)
• (B) \( 2 A \)
• (C) \( 1.5 A \)
• (D) \( 1 A \)
• (E) \( 2.5 A \)

The work functions of two metals are \( 2.75 eV \) and \( 2 eV \) respectively. If these are irradiated by photons of energy \( 3 eV \), the ratio of maximum momenta of the photoelectrons emitted respectively by them is

• (A) 1:2
• (B) 1:3
• (C) 1:4
• (D) 2:1
• (E) 4:1

If the potential at A is zero, potential at B is

• (A) \( 0 V \)
• (B) \( 4 V \)
• (C) \( 6 V \)
• (D) \( 2 V \)

From the following pairs of ions which one is not an iso-electronic pair?

• (a) Na, \(Mg^{3}\)
• (b) \(Mn^{2}\), \(Fe^{3}\)
• (c) \(Fe^{2}\), \(Mn^{3}\)
• (d) \(O^{2}\), F

The correct sequence of bond enthalpy of 'C-X' bond is:

• (a) CH-F \(>\) CH-Cl \(>\) CH-Br \(>\) CH-I
• (b) CH-F \(<\) CH-Cl \(>\) CH-Br \(>\) CH-I
• (c) CH-Cl \(>\) CH-F \(>\) CH-Br \(>\) CH-I
• (d) CH-F \(<\) CH-Cl \(<\) CH-Br \(<\) CH-I

CHCHBr \(\rightarrow\) (aq. KOH) \(\rightarrow\) A \(\rightarrow\) (PCl) \(\rightarrow\) B

Final product B:

• (A) CHCHOH
• (B) CHCHCl
• (C) CHCHBr
• (D) CHCHO
• (E) CHCHCOOH

One mole of an alkene on ozonolysis gives a mixture of one mole pentan-3-one and one mole methanal. The alkene is (2024)

• (a) 3-ethylbut-1-ene
• (b) 2-methylpent-1-ene
• (c) 2-ethylbut-1-ene
• (d) 4-methylpent-2-ene
• (e) 4-methylpent-1-ene

Correct order of acidic strength:

• (A) Phenol \(>\) Ethanol \(>\) Acetic acid
• (B) Acetic acid \(>\) Phenol \(>\) Ethanol
• (C) Ethanol \(>\) Phenol \(>\) Acetic acid
• (D) Phenol \(>\) Acetic acid \(>\) Ethanol
• (E) Acetic acid \(>\) Ethanol \(>\) Phenol

Arrange the following amines in the decreasing order of their basic strength : Aniline (I), Benzylamine (II), p-toluidine (III)

• (a) I \(>\) II \(>\) III
• (b) III \(>\) II \(>\) I
• (c) II \(>\) I \(>\) III
• (d) III \(>\) I \(>\) II
• (e) II \(>\) III \(>\) I