JEE Main Test 129

Result

JEE Main Test 129

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

A diatomic ideal gas is used in a car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V to 32 V. The efficiency of the engine is

A
0.5

B
0.75

C
0.99

D
0.25

Solution
Question 2
4 / -1

The efficiency of Carnot heat engine is 0.5, when the temperature of the source is T₁ and that of sink is T₂. The efficiency of another Carnot heat engine is also 0.5. The temperatures of source and sink of the second engine are respectively

A
2T₁ , 2T₂

B

C
T₁ + 5, T₂ - 5

D
T₁ + 10, T₂ - 10

Solution

When both temperature of source T₁ and T₂ are increased by same factor then efficiency remains same.
Question 3
4 / -1

Which of the following hydrogen bonds are strongest in vapour phase?

A
HF......HF

B
HF......HCl

C
HCl......HCl

D
HF......Hl

Solution

Hydrogen bond is limited to certain compounds containing N,O or F. I is fair too big and not electronegative enough.The HCl is bond is polar covalent. HCl does have ionic properties and fully dissacociates in water. But the reason that HF does not fully dissacociates in solution because of its hydrogen bonds with water. Hence HF has strong H–bond and exists in a polymeric form in vapour phase.
Question 4
4 / -1

If n ≥ 2 is an integer

A
Aⁿ = I and A^n-1 ≠ 1

B
A^m ≠ I for any positive integer m

C
A is not invertible

D
A^m = 0 for a positive integer m

Solution
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

A solid sphere rolls down without slipping on an inclined plane at angle 60° over a distance of 10 m. The acceleration (in ms ^-2) is

A
4

B
5

C
6

D
7

Solution
Question 7
4 / -1

The volumes of containers A and B, connected by a tube and a closed valve are V and 4 V, respectively. Both the containers A and B have the same ideal gas at pressures (temperatures) 5.0 ×10⁵ Pa(300 K) and 1.0 ×10⁵Pa (400 K), respectively. The valve is opened to allow the pressure to equalise, but the temperature of each container is kept constant at its initial value. Find the common pressure in the containers.

A
2.5 × 10⁵ Pa

B
2.0 × 10⁵ Pa

C
3.0 × 10⁵ Pa

D
1.5 × 10⁵ Pa

Solution
Question 8
4 / -1

Two identical pendulums are oscillating with amplitudes 4 cm and 8 cm. The ratio of their energies of oscillation will be

A
1/3

B
1/4

C
1/9

D
1/2

Solution
Question 9
4 / -1

The system of equations αχ + y + z = α - 1 and χ + y + αz = α - 1 has no solution, if α is

A
1

B
not - 2

C
either - 2 or 1

D
- 2

Solution
Question 10
4 / -1

Which species has the maximum number of lone pair of electrons on the central atom ?

A

B

C

D

Solution