JEE Advanced Mix Test 70

Result

JEE Advanced Mix Test 70

Score
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out of -
Rank
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out of -

TIME Taken - -

Weekly Quiz Competition

Question 1
4 / -1

An engine whistling at a constant frequency n₀ and moving with a constant velocity goes past a stationary observer. As the engine crosses him, the frequency of the sound heard by him changes by a factor f. The actual difference in the frequency of the sound heard by him before and after the engine across him is

A

B

C

D

Solution
Question 2
4 / -1

A ball of density ρ₀ falls from rest from point P onto the surface of a liquid of density ρ in time T. It enters the liquid stops moves up and returns to P in a total time 3T. Neglect viscosity, surface tension and splashing. The ratio p/p₀ is equal to

A
1.5

B
2

C
3

D
4

Solution
Question 3
4 / -1

When an object is placed in front of a concave mirror of focal length f, a virtual image is produced with a magnification of 2. To obtain a real image with a magnification of 2. The object has to be moved by a distance equal to

A
f/2

B
2/5f

C
f

D
3f/2

Solution

Calculate the initial and final distance of object from the concave mirror.
Question 4
4 / -1

Sulphur reacts with chlorine in 1 : 2 ratio and forms X. Hydrolysis of X gives a sulphur compoundY. What is the hybridization state of central atom in the compound Y?

A
sp³

B
sp²

C
sp

D
dsp²

Solution
Question 5
4 / -1

Find out the correct representation of trans - decaline

A

B

C

D
none of these

Solution
Question 6
4 / -1

50 ml of a solution containing 10^-3 mol of Ag⁺ is mixed with 50 ml of a 0.1 M HCl solution. Howmuch [Ag⁺] remains in solution? Given: K_sp of AgCl = 10^-10

A
2.5 X10^-9M

B
2.5 X10^-7M

C
2.5 X10^-8M

D
2.5 X10^-10M

Solution
Question 7
4 / -1

If the equation x⁴ – 4x³ + ax² + bx + 1 = 0 has four positive roots then

A
a = 6, b = –4

B
a = 5, b = –4

C
a = 6, b = –3

D
a = 6, b ∈ R

Solution
Question 8
4 / -1

Find the point p on the line 2x + 3y + = 0 such that |PA - PB| is maximum where A is (2,0) and B is (0,2)

A
(1, –1)

B
(7, –5)

C
(–2, 1)

D
(4, –3)

Solution
Question 9
4 / -1

Find the coefficient of x⁵ in the expansion of (2 – x + 3x²)⁶

A
–5049

B
5051

C
–5052

D
5050

Solution
Question 10
4 / -1

If tan3θ + tanθ = 2tan2θ then θ is equal to (n ∈ z)

A
nπ

B
nπ/4

C
2nπ

D
none of these

Solution

θ = nπ,n ∈ z or 2θ = nπ ∵ θ = nπ/2 is not for possible as n is odd tanθ is not define.

Hence θ = nπ, n ∈ z is the only solution.