The distance travelled by a particle starting from rest and moving with an accelerationms-2, in the third second is
The position x of a particle with respect to time t along x-axis is given by x = 9t2 – t3 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?
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
A body starts from rest and moves with uniform acceleration. The ratio of the distance covered in the nth second to the distance covered in n seconds is,
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?
A particle is projected with velocity v0 along x-axis. The deceleration on the particle is proportional to the square of the distance from the origin i.e., W = -ax2. The distance at which the particle stops is
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.
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–
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?
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):
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.
Assuming fully decomposed, the volume of CO2 released at STP on heating 9.85 g of BaCO3 (Atomic mass of Ba = 137) will be BaCO3→BaO + CO2↑
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:
Assertion. Equivalent conductance of all electrolytes decreases with increasing concentration.
Reason. Lesser number if ions are available per gram equivalent at higher concentration.
Which of the following is not a conclusion of faradays first law?
Ostwald’s dilution law is applicable in the case of
3° alkyl halides form alcohols preferably via
Reaction happens via
For the Reaction N2(g) + 3H2(g) 2NH3(g) The partial pressure of N2 and H2 are 0.4 atm and 0.2 atm respectively. The total pressure of the system is 1.4 atm. The value of Kp will be
The number of pairs of solution of the system of equations , where x and y are real is
The function is
If the matrix = A + B, where A is symmetric and B is skew symmetric, then B =
Given z1=9+3i and z2=3-3i find the modulus of z1z2 and argument of z1 / z2
If x = is a complex number, then the value of is
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.
If A and B are two sets such than n(A) = 8, n(B) = 11 and n(A ∪B) = 14 thenfind n(A∩B).
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.