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Class XI Revision Quiz Week 2 Day 3

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Question 1

Find the identity element of Binary operator * operated on a*b = a+b+2 on Z(Z denotes set of integers).

Question 2

Which of these is commutative ?

Question 3

The binary operation * is defined as 1+2+3+…....+ (a*b) = {3(a*b) - 1}/2 Find (1*2) + (2*3) + (3*4) ….. + (n*n+1)

Question 4

Which of these is not commutative ?

Question 5

If f: R→R is an invertible function such that f(x) and f^-1(x) are symmetrical about the line y=-x, then

Question 6

What will be the centre of the mass of two thin uniform rods of the same length but made up of different materials and kept as shown? If the meeting point of the two rods is the origin of coordinates.

Question 7

A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface. The man walks to other end of the plank. If the mass of the plank is

, then the distance that the man moves relative to ground is:

Question 8

Two particles having mass ratio n : 1 are interconnected by a light inextensible string that passes over a smooth pulley. If the system is released, then the acceleration of the centre of mass of the system is:

Question 9

Internal forces can change

Question 10

A small sphere is moving at a constant speed in a vertical circle. Below is a list of quantities that could be used to describe some aspect of the motion of the sphere

I. kinetic energy

II. gravitational potential energy

III. momentum

Which of these quantities will change as this sphere moves around the circle?

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Sep 30JEE & BITSAT