JEE Main Test 84

Result

JEE Main Test 84

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Weekly Quiz Competition

Question 1
4 / -1

In a triangle, the lengths of two larger sides are 10 cm and 9 cm. If the angles of the triangle are in AP, then the length of the third side is

A
√5 - √6

B
√5 + √6

C
√5 ± √6

D
5 ± √6

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A
3/√2

B
√2

C
1/√2

D
2

Solution
Question 4
4 / -1

A steam at 100°C is passed into 1 kg of water contained in a calorimeter of water equivalent 0.2 kg at 9°C till the temperature of the calorimeter and water in it is increased to 90°C. The mass of steam condensed in kg is nearly (specific heat of water =1 cal/g°C, and latent heat of vaporisation = 540 cal/g)

A
0.81

B
0.18

C
0.27

D
0.54

Solution
Question 5
4 / -1

An ice box made of Styrofoam (thermal conductivity = 0.01 Jm^-1 s ^-1 K^-1) is used to keep liquids cool. It has a total wall area including lid of 0.8 m 2 and wall thickness of 2.0 cm. A bottle of water is placed in the box and filled with ice. If the outside temperature is 30°C, the rate of flow of heat into the box is (in Js^-1)

A
16

B
14

C
12

D
10

Solution
Question 6
4 / -1

A

B

C

D
none of these

Solution

Four speakers will address meeting in 4! Ways

P speaker before Q in half of 4! Ways , that is 4!/2=21/1=12
Question 7
4 / -1

Assertion (A) Water flows faster than honey.

Reason (R) The coefficient of viscosity of water is less than honey.

A
Both A and R are correct and R is the correct explanation of A

B
Both A and R are correct but R is not a correct explanation of A

C
A is correct but R is incorrect

D
A is incorrect but R is correct

Solution
Question 8
4 / -1

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T₀, while box B contains one mole of helium at temperature (7/3)T₀ . The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature (Ignore the heat capacity of boxes). Then, the final temperature of the gases, T_f, in terms of T₀ is

A

B

C

D

Solution
Question 9
4 / -1

The coefficient of χ³ in the infinite series expansion of 2/(1– χ) (2 – χ), for |χ| < 1 is

A
– (1/16)

B
15/8

C
– (1/8)

D
15/16

Solution
Question 10
4 / -1

The efficiency of a Carnot engine working between 800 K and 500 K is

A
0.4

B
0.625

C
0.375

D
0.5

Solution