JEE Main Test 81

Result

JEE Main Test 81

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
i

B
-i

C

D

Solution
Question 2
4 / -1

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm²/min. When the thickness of ice is 15 cm, then the rate at which the thickness of ice decreases, is

A
5/6π cm/min

B
1/54π cm/min

C
1/18π cm/min

D
1/36π cm/min

Solution
Question 3
4 / -1

Hydrolysis of sucrose with dilute aqueous sulphuric acid yields

A
1 : 1 D-(+)-glucose; D-(-)-fructose

B
1 : 2 D-(+)-glucose; D-(-)-fructose

C
1 : 1 D-(-)-glucose; D-(+)-fructose

D
1 : 2 D-(-)-glucose; D-(+)-fructose

Solution

If sucrose is boiled with H₂SO₄ in alcoholic solution, D- (+) glucose and D- (-) fructose are obtained in equal amounts.

Sucrose is dextroratory, but the resulting mixture of glucose and fructose is slightly levoratatory because the levoratatory fructose has a greater molar rotation than the dextroratory glucose.
Question 4
4 / -1

The temperature of the slag zone in the metallurgy of iron using blast furnace is

A
1200-1500°C

B
1500-1600°C

C
400-700°C

D
800-1000°C

Solution

Slag is the fusible compound formed by the combination of flux and gangue.

i.e., CaO + SiO₂→CaSiO₃

Flux Gangue Slag

AThe temperature of the slag zone in the metallurgy of iron using blast furnace is 800⁰C – 1000⁰C.
Question 5
4 / -1

The brown complex obtained in the detection of nitrate radical is formulated as [Fe(H₂O)₅ NO]SO₄. What is the oxidation number of Fe in this complex?

A
+1

B
+2

C
+3

D
0

Solution

In the Complex, [Fe (H₂O)₅NO]SO₄,

NO:11 electrons = σ₁(2e^-) σ₂*(2e^-) π₁(4e^-) σ₃(2e^-) π₂*(1e^-) σ₄*(0e^-)

NO is radial. For oxidation state purposes it is removed from a complex in a closed shell configuration as [NO]⁺. Because the [Fe(H₂O)₅NO]²⁺ complex ion has an overall two +ve charge, the central atom Fe is Fe(1). Thus the univalent character of atom in the complex is justified by the presence of a coordinated NO⁺ group.
Question 6
4 / -1

A
0

B
1

C
2

D
3

Solution
Question 7
4 / -1

A
π/3

B
π/2

C
1/2

D
π/4

Solution
Question 8
4 / -1

The curve y = (cos x + y)^1/2 satisfies the differential equation

A

B

C

D

Solution
Question 9
4 / -1

An object is placed at a distance 20 cm from the pole of a convex mirror of focal length 20 cm. The image is produced at

A
13.3 cm

B
20 cm

C
25 cm

D
10 cm

Solution
Question 10
4 / -1

A

B

C

D

Solution