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Class XI Revision Quiz Week 2 Day 6

Attempt now to get your rank among 201 students!

Question 1

The domain of the function f(x)=

Question 2

The value of the function f(x) if f(x)=

at x=4 if it is valid

Question 3

The domain of the function f(x)=

Question 4

The domain of the function

Question 5

The range of the function f(x)=

where {.} denotes greatest fractional function

Question 6

If the force on a rocket which is ejecting gases with a relative of 300 m/s, is 210 N. Then the rate of combustion of the fuel will be

Question 7

A bullet of mass 10 g and speed 500 m/s is fired into a door and gets embedded exactly at the centre of the door. The door is 1.0 m wide and weight 12 kg. It is hinged at one end and rotates about a vertical axis practically without friction. The angular speed (in rad/sec) of the door just after the bullet embeds into it will be :

Question 8

In an experiment with a beam balance on unknown mass m is balanced by two known masses of 16 kg and 4 kg as shown in figure.

The value of the unknown mass m is

Question 9

Two masses m and

are connected at the two ends of a massless rigid rod of length l. The rod is suspended by a thin wire of torsional constant k at the centre of mass of the rod-mass system (see figure). Because of torsional constant k, the restoring torque is τ = kθ for angular displacement θ. If the rod is rotated by θ ₀ and released, the tension in it when it passes through its mean position will be:

Question 10

A rod of length 50 cm is pivoted at one end. It is raised such that if makes an angle of 30 ° from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in rad s^-1) will be (g=10 ms^-2)

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Mar 27JEE & BITSAT