JEE Main Test 96

Result

JEE Main Test 96

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Weekly Quiz Competition

Question 1
4 / -1

When the current changes from + 2 A to -2 A in 0.05 s, an emf of 8V is induced in a coil. The coefficient of self induction of the coil is

A
0.2 H

B
0.4 H

C
0.8 H

D
0.1 H

Solution
Question 2
4 / -1

The amplitude of the magnetic field part of a harmonic electromagnetic wave in vacuum is B₀ = 510 nT. What is the amplitude of the electric field part of the wave?

A
140 NC^-1

B
153 NC^-1

C
163 NC^-1

D
133 NC^-1

Solution
Question 3
4 / -1

To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mole of He and 1.0 mole of an unknown compound (vapour pressure 0.68 atm at 0°C) are introduced. Considering the ideal gas behaviour, the total volume (in litre) of the gases at 0°C is close to

A
3

B
5

C
7

D
9

Solution

Given that, the piston is movable so, the external pressure is 0.1 atm then the pressure of gas is also 1.0 atom and partical pressure due to unknown compound is 0.68 atm.

∴ P_He = 1.00 – 0.68 = 0.32 atm.
Question 4
4 / -1

The dielectric constant of air is 1.006. The speed of electromagnetic wave travelling in air is a × 10⁸ ms^-1, where, a is about

A
3

B
3.88

C
2.5

D
3.2

Solution
Question 5
4 / -1

Dalton's law of partial pressure is not applicable to

A
O₂ + O₃

B
CO + CO₂

C
NH₃ + HCl

D
I + O₂
Solution
Daltons law of partial pressure is applicable only for non-reacting gases. According to this law,
p = p₁+ p₂+ p₃+………

Where , p_1,p₂, p₃,…. are partial pressures of components of gases.

Consider the following systems,
- O₂ + O₃ → No-reaction.
- CO + CO₂ → No-reaction
- NH₃ + Hcl→ NH₄Cl
- I + O₂→No-reaction.
  Therefore the system O₂ + O₃, CO + CO₂ and NH₃ + Hcl contain reacting gases. Hence Dalton’s law is not applicable to NH₃ + Hcl.
Question 6
4 / -1

If θ is the angle between the tangents from (-1, 0) to the circle x² + y² - 5x + 4y = 0, then θ is equal to

A
2 tan^-1 (7/4)

B
tan^-1(7/4)

C
2 cot^-1(7/4)

D
cot^-1(7/4)

Solution
Question 7
4 / -1

If the line y - √3x + 3 = 0 cuts the parabola y² = x + 2 at A and B, then PA. PB is equal to [where, P = (√3, 0)]

A

B

C

D

Solution
Question 8
4 / -1

Two light rays having the same wavelength λ in vacuum are in phase initially. Then, the first ray travels a path L₁ through a medium of refractive index n₁ while the second ray travels a path of length L₂ through a medium of refractive index n₂. The two waves are then combined to produce interference. The phase difference between the two waves is

A

B

C

D

Solution
Question 9
4 / -1

The decreasing order of bond dissociation energies of C—C, C—H and H—H bonds is

A

B

C

D

Solution

Bond dissociates energies of C – C, C – H and H – H bond are 347, 413 and 354 KJ/mol.

Hence the order is

H – H > - C – H > - C – C.
Question 10
4 / -1

In which of the following reactions, the heat liberated is known as "heat of combustion" ?

A
H⁺ (aq) + OH ^- (aq) → H₂ O ( l ) + heat

B

C
CH₄ (g) + 2O₂ (g) → CO₂(g) + 2H₂O ( l ) + heat

D
H₂ SO₄ (aq) + H₂O ( l ) → H₂ SO₄ (aq) + heat

Solution

The heat of combustion is the energy released as heat when a substance undergoes complete combustion with oxygen under standard conditions. The chemical reaction is typically a hydrocarbon or other organic molecule reacting with oxygen to form carbon-dioxide and water and release heat.

∴ the reaction is,

CH₄(g) + 2O₂(g) → CO₂(g) – 2H₂O(l) + heat.