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Class XI Revision Quiz Week 1 Day 5

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Question 1

The inequality y(-1)≥-4 ,y(1)≤0 and y(3)≥5 are known to hold for y=a then the least value of a is ____

Question 2

It is given that the number 43361 can be written as a product of two distinct prime numbers Further, assume that there are 42900 numbers which are less than 43361 and are co-prime to it. Then, is

Question 3

Find the number of natural numbers that can be formed using the digits and with repetition, which should be less than 1000.

Question 4

Find the sum of the series

Question 5

Find co-efficient of term independent of x in .

Question 6

A spring mass system with unequal masses is placed at rest on a smooth horizontal surface. The spring is initially kept compressed with a thread. When the spring is cut, the mass m moves so as to enter in a vertical circular loop of radius r. The minimum compression x in the spring so that the mass m may negotiate the vertical loop is

Question 7

A spring mass system is placed on a frictionless horizontal surface as shown in the figure. The spring is expanded by 1/10m and the blocks are given velocities as shown, then maximum extension of spring is :

Question 8

A truck having a mass of 5000 kg moves with a uniform speed of 36 kmph on a horizontal road. If the coefficient of rolling friction between the tyres and the road is 0.002, the power developed by the engine is (in horse-power i.e., H.P.)

Question 9

A block of mass is sliding down an inclined plane with constant speed. At a certain instant 0, its height above the ground is . The coefficient of kinetic friction between the block and the plane is . If the block reaches the ground at a later instant g, then the energy dissipated by friction in the time interval (g-0) is

Question 10

Two small blocks slide without losing contact with the surface along two frictionless tracks 1 and 2, starting at the same time with same initial speed v. Track 1 is perfectly horizontal, while track 2 has a dip in the middle, as shown.

Which block reaches the finish line first?
[Hint : Use velocity-time graph to solve.]

Question 11

Among the elements Li, N, C and Be. One with the largest atomic radius is

Question 12

Which of the following elements has the maximum electron affinity?

Question 13

Beryllium and aluminium exhibit many properties which are similar. But the two elements differ in

Question 14

Which of the following atoms should have smallest size -

Question 15

Which of the following has highest ionisation energy?
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Oct 19JEE & BITSAT