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JEE Main Mock 108

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Question 1

Calcium acetate when dry distilled gives–

Question 2

The presence of primary amines can be confirmed by–

Question 3

Which of the following is an example of aldohexose?

Question 4

Which of the following is an anionic detergent?

Question 5

A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1 %. What is the fundamental frequency of steel if density and elasticity of steel are 7.7 × 10³ kg/m³ and 2.2 × 10¹¹N/m² respectively?

Question 6

Two very wide parallel glass plates are held vertically at a small separation d, and dipped in water. Some water climbs up in the gap between the plates. Let S be the surface tension of water, P₀ = atmospheric pressure, P = pressure of water just below the water surface in the region between the plates -

Question 7

A particle is observed from two frames S₁ and S₂. The graph of relative velocity of S₁ with respect to S₂ is shown in figure. Let F₁ and F₂ be the pseudo forces on the particle when seen from S₁ and S₂ respectively. Which one of the following is not possible ?

Question 8

A man standing on a road has to hold his umbrella at 30º with the vertical to keep the rain away. He thrown the umbrella and starts running at 10 km/h. He finds that raindrops are hitting his head vertically. Find the speed (in km/h) of rain w.r.t. road-

Question 9

The function f(x) = 2(x – [x]) + sin²π(x – [x]) is -
(Where [.] denotes greatest integer function)

Question 10

If g is the inverse function of f and f'(x) = sin x then g'(x) =

Question 11

The point (s) at each of which the tangents to the curve y = x³ – 3x² – 7x + 6 cut off on the positive semi axis OX a line segment half the negative semi axis OY then the coordinates the point (s) is/are given by

Question 12

dx is equal to -

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Dec 23JEE & BITSAT