JEE Main Test 75

Result

JEE Main Test 75

Score
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Weekly Quiz Competition

Question 1
4 / -1

The surface tension of a liquid is 5 Nm^-1. If a film is held on a ring of area 0.02 m², its total surface energy is about

A
2 × 10 ^-2 J

B
2.5 × 10 ^-3 J

C
2 × 10 ^-1 J

D
3 × 10 ^-1 J

Solution
Question 2
4 / -1

If ¹⁸⁹C₃₅ + ¹⁸⁹C_χ = ¹⁹⁰C_χ, then χ is equal to

A
34

B
35

C
36

D
37

Solution
Question 3
4 / -1

A glass flask having mass 390 g and an interior volume of 500 cm³ floats on water when it is less than half–filled with water. The density of the material of the flask is

A
0.8 gcc ^-1

B
2.8 gcc ^-1

C
1.8 gcc ^-1

D
0.28 gcc ^-1

Solution
Question 4
4 / -1

The ninth term of the expansion (3χ – 1/2χ)⁸ is

A

B

C

D

Solution
Question 5
4 / -1

What is the source temperature of the Cannot engine required to get 70% efficiency?
Given, sink temperature = 27 ℃

A
1000℃

B
90℃

C
270℃

D
727℃

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

Three identical spheres, each of mass 1 kg are kept as shown in the figure below, touching each other, with their centres on a straight line. If their centres are marked P, Q, R respectively, the distance of centre of mass of the system from P is

A

B

C

D

Solution
Question 8
4 / -1

A
3ω

B
3ω(ω-1)

C
3ω²

D
3ω(1-ω)

Solution
Question 9
4 / -1

Which one of the following has longest covalent bond distance?

A
C—C

B
C—H

C
C—N

D
C—O

Solution

The length of the bond is determined by the number of bonded electrons (the bond order).

The higher the bond order, the stronger is the pull between the two atoms and the shorter the bond length. Generally, the length of the bond between two atoms is approximately the sum of the covalent radii of the two atoms.

Generally, bond length of polar bonds will be small compared to that of non-polar. Hence C-C has longest covalent bond distance.
Question 10
4 / -1

The value of n in the molecular formula Be_n Al₂ Si₆ O₁₈ is

A
1

B
2

C
3

D
4

Solution

The molecular formula of the given compound is Be_nAl₂Si₆O₈.

n =?

Now, (2×n) + (3×2) + (4×6) + (-2×18) = 0

⇒ 2n + 6 + 24 – 36 = 0

⇒ 2n – 6 = 0

⇒ 2n = 6

⇒ n = 6/2

⇒ n = 3