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# Test Yourself | Mini Mock 2 for JEE 2021

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Question 1

The distance travelled by a particle starting from rest and moving with an accelerationms

^{-2}, in the third second isQuestion 2

The position

*x*of a particle with respect to time*t*along*x*-axis is given by*x*= 9*t*^{2}–*t*^{3}where*x*is in metre and*t*in second. What will be the position of this particle when it achieves maximum speed along the +*x*direction?Question 3

A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards north. The average acceleration of the body is

Question 4

A body starts from rest and moves with uniform acceleration. The ratio of the distance covered in the

*n*th second to the distance covered in*n*seconds is,Question 5

A police party is moving in a jeep at a constant speed v. They saw a thief at a distance x on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration a. Which of the following relations is true if the police is able to catch the thief?

Question 6

A particle is projected with velocity v

_{0}along x-axis. The deceleration on the particle is proportional to the square of the distance from the origin i.e., W = -ax^{2}. The distance at which the particle stops isQuestion 7

A metro train starts from rest and in 5s achieves 108km/h. After that it moves with constant velocity and comes to rest after travelling 45m with uniform retardation. If total distance travelled is395m, find total time of travelling.

Question 8

A body moving with uniform acceleration describes 4m in 3rd second and 12m in the 5th second. The distance described in next three second is–

Question 9

A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate (in cm) before coming to rest assuming that it faces constant resistance to motion?

Question 10

An automobile, travelling at 40 km/h, can be stopped at a distance of 40 m by applying brakes. If the same automobile travelling at 80 km/h is applied with the same braking force, then the minimum stopping distance, in metres, is (assume no skidding):

Question 11

It is observed that the density of a 3M solution of Oxalic acid is 1.2 gml

^{-1}. Calculate the molality of the given solution.Question 12

Assuming fully decomposed, the volume of CO

BaCO

_{2}released at STP on heating 9.85 g of BaCO_{3}(Atomic mass of Ba = 137) will beBaCO

_{3}→ BaO + CO_{2}↑Question 13

Law of chemical combination can be applied to almost all of the chemical reactions known but the law of conservation of mass possess some limitations. Identify the reaction to which law of mass conservation cannot be applied:

Question 14

Assertion. Equivalent conductance of all electrolytes decreases with increasing concentration.

Reason. Lesser number if ions are available per gram equivalent at higher concentration.

Question 15

Which of the following is not a conclusion of faradays first law?

Question 16

Ostwald’s dilution law is applicable in the case of

Question 17

3° alkyl halides form alcohols preferably via

Question 18

Reaction happens via

Question 19

Question 20

For the Reaction

N

The partial pressure of N

N

_{2}(g) + 3H_{2}(g) 2NH_{3}(g)The partial pressure of N

_{2}and H_{2}are 0.4 atm and 0.2 atm respectively. The total pressure of the system is 1.4 atm. The value of K_{p}will beQuestion 21

The number of pairs of solution of the system of equations , where x and y are real is

Question 22

The function is

Question 23

Cos =

Question 24

If the matrix = A + B, where A is symmetric and B is skew symmetric, then B =

Question 25

Given z

_{1}=9+3i and z_{2}=3-3i find the modulus of z_{1}z_{2}and argument of z_{1}/ z_{2}Question 26

If x = is a complex number, then the value of is

Question 27

Find total number of students participated in the examination.

Consider the following for the next two items :

In an examination 60% student passed in Chemistry and 70% passed in maths . 50% students passed in both and 40 students failed in both subjects.

Question 28

If A and B are two sets such than n(A) = 8, n(B) = 11 and n(A ∪ B) = 14 then find n(A ∩ B).

Question 29

In an examination, 60 % students passed in maths and 52% passed in Science, but 32 % students failed in both the subjects. If 176 students passed in both the subjects, then find the total number of students.

Question 30

If in a ΔABC, , then

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Apr 3JEE & BITSAT

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