Class XI Revision Quiz Week 1 Day 6 for JEE & BITSAT Exams

Question 1

The least positive integer 'n' for which

is

Question 2

There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?

Question 3

The greatest value of the term independent of x in the expansion of (x sin α + x^–1 cos α)¹⁰, α ∈ R, is-

Question 4

The 80^th term of the series 1, 3, 3, 5, 5, 5, 7, 7, 7, 7…… is

Question 5

Find the sum of the series

Question 6

In the figure (i), (ii) & (iii) shown the objects A, B & C are of same mass. String, spring & pulley are massless. C strikes B with velocity ‘u’ in each case and sticks to it. The ratio of velocity of B in case (i) to (ii) to (iii) is

Question 7

A force exerts an impulse I on a particle changing its speed from u to 2u. The applied force and the initial velocity are oppositely directed along the same line. The work done by the force is

Question 8

A parallel beam of particles of mass m moving with velocity v impinges on a wall at an angle θ to its normal. The number of particles per unit volume in the beam is n. If the collision of particles with the wall is elastic, then the pressure exerted by this beam on the wall is

Question 9

A boy hits a baseball with a bat and imparts an impulse J to the ball. The boy hits the ball again with the same force, except that the ball and the bat are in contact for twice the amount of time as in the first hit. The new impulse equals.

Question 10

A system of two blocks A and B are connected by an inextensible massless string as shown. The pulley is massless and frictionless. Initially, the system is at rest when a bullet of mass ‘m’ moving with a velocity ‘u’ as shown hits the block ‘B’ and gets embedded into it. The impulse imparted by tension force to the block of mass 3 m is :

Question 11

In which of the following ionization processes the bond energy has increased and also the magnetic behavior has changed from paramagnetic to diamagnetic?