JEE: 10 sample questions

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Q1

Two coils have a mutual inductance M = 0.005 H. The current in the first coil changes as I = I₀ sin(ωt), where I₀ = 2 A and ω = 100π rad s⁻¹. The maximum emf induced in the second coil is:

A.4π V

B.3π V

C.2π V

D.π V
Q2

The focal lengths of the objective and eyepiece lenses of a compound microscope are 1.6 cm and 2.5 cm, respectively. The distance between the two lenses (tube length) is 21.7 cm. If the final image is formed at infinity, what is the linear magnification?

A.11

B.110

C.1.1

D.44
Q3

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec . The crest Pis at x = 0 at t = 0sec and maximum displacement of the wave is 2 cm . Which equation correctly represents this wave?

A.y = 2 cos(0.83x - 3.35t)cm

B.y = 2 sin(0.83x - 3.5t)cm

C.y = 2 cos(0.13x - 0.5t)cm

D.y = 2 cos(3.35x - 0.83t)cm
Q4

Which among the following is the most reactive?

A.I2

B.ICl

C.Cl2

D.Br2
Q5

Match List-I with List-II. List-I: A. Max Planck; B. Albert Einstein; C. J. J. Thomson; D. Chadwick. List-II: I. Quantum theory of black-body radiation; II. Explanation of the photoelectric effect; III. Determination of the e/m ratio of the electron; IV. Discovery of the neutron. Choose the correct combination.

A.A-I, B-II, C-III, D-IV

B.A-II, B-I, C-III, D-IV

C.A-I, B-II, C-IV, D-III

D.A-III, B-II, C-I, D-IV
Q6

According to the orbital-filling pattern of the fifth period, the subshells filled are 5s, 4d and 5p. What is the total number of orbitals involved and the maximum number of electrons accommodated in these subshells?

A.9 orbitals and 18 electrons

B.8 orbitals and 16 electrons

C.6 orbitals and 12 electrons

D.16 orbitals and 32 electrons
Q7

In a Wheatstone bridge, resistors AB = 2 Ω, BC = 4 Ω, CD = 6 Ω and DA = 3 Ω are connected as the four arms. A galvanometer is connected between B and D, and a 12 V battery is connected between A and C. The current through resistor AB is:

A.2 A

B.4/3 A

C.3 A

D.1 A
Q8

Which of the following compounds does NOT give a characteristic 2,4-dinitrophenylhydrazine (2,4-DNP) test forming a yellow, orange or red solid derivative?

A.Ethanal (CH₃CHO)

B.Propanone (CH₃COCH₃)

C.Benzaldehyde (C₆H₅CHO)

D.Ethanoic acid (CH₃COOH)
Q9

A long air-core solenoid has 1000 turns per metre, length 0.50 m and radius 2.0 cm. When it carries a steady current of 2.0 A, the magnetic energy stored in it is: (Take μ₀ = 4π × 10⁻⁷ H m⁻¹.)

A.1.6π² × 10⁻⁴ J

B.3.2π² × 10⁻⁴ J

C.0.4π² × 10⁻⁴ J

D.0.8π² × 10⁻⁴ J
Q10

An electron, a proton and a neutral macroscopic body are separately moving with the same momentum p. Which statement is correct regarding their de Broglie wavelengths?

A.The electron has the greatest wavelength because its mass is the smallest.

B.The charged particles have wavelengths different from that of the neutral body because de Broglie wavelength depends on charge.

C.All three have the same de Broglie wavelength, since it is determined by their momentum; the extremely small wavelengths of macroscopic bodies arise from their usual large momenta.

D.The macroscopic body has the greatest wavelength because its mass is the largest.

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