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PART TEST ADVANCE

http://manishkumarphysics.in/ Time: 1 hour Max. Marks: 72 Class: XIII (VXYZ) Date: 04/10/2009 VERY IMPORTANT: The question paper consists of 1 sections (Section-1 contains Physics.). Please fill the OMR answer Sheet accordingly and carefully. INSTRUCTIONS Each Section contains (12 questions in Part-D). Please ensure that the Question Paper you have received contains ALL THE QUESTIONS in each Section and PAGES. If you found some mistake like missing questions or pages then contact immediately to the Invigilator. PART-D 1. Q.1 to Q.12 are "Subjective" questions (whose answers are upto 4 digit) and carry 6 marks each. There is NO NEGATIVE marking. Marks will be awarded only if correct bubbles are filled in your OMR sheet. 2.

Indicate the correct answer for each question by filling appropriate bubble in your answer sheet.

3.

Use of Calculator, Log Table, Slide Rule and Mobile is not allowed.

4.

The answers of the questions must be marked by shading the circle against the question by dark HB pencil only.

NOTE: General instructions for Filling the OMR are given on the LAST PAGE.

PHYSICS

http://manishkumarphysics.in/

PART-D [SUBJECTIVE] Q.1 to Q.12 are "Subjective" type questions. (The answer to each of the questions are upto 4 digit) Q.1

A man hangs from the midpoint of a rope 10m long, the ends of which are tied to two light rings which are free to move on a horizontal fixed rod (see fig.). What is the maximum possible separation d (in cm) of the rings when the man is hanging in equilibrium, if the relevant coefficient of static friction is 0.75? d d/2

5m

5m  

Q.2

A small ball of mass 2g is attached to a string of length  whose other end is fastened to an upright vertical rod fixed on a wooden board resting on a horizontal table. The combined mass of the board and rod is 1kg. The friction coefficient between the board and the table is µ. The ball is released from rest with the string in a horizontal position. It hits the vertical rod in a completely inelastic collision. While the ball swings, the board does not move. m

What is minimum value that µ must have to prevent the board from moving to the left while the ball swings down ? Using necessary approximation, express your answer as x × 10–3 and fill value of x in OMR sheet. Q.3

A uniform rod AB of length 2 3 m and mass 12 kg is thrown such that just after the projection the centre of mass of the rod moves vertically upwards with a velocity 10 m/s and at the same time it is rotating with an angular velocity  rad/s about a horizontal axis passing through its mid point. Just after the road is thrown it is horizontal and is as shown in the figure. Find the acceleration (in m/sec2 ) of the point A, when the centre of mass is at the highest point. (Take g = 10 m/s2, 2 =10 Neglect effect of air) 10 m/s A

B  rad/s

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PHYSICS http://manishkumarphysics.in/ Q.4 Two blocks of mass m1 = 2 kg and m2 = 1 kg are connected by an ideal spring, rest on a rough horizontal surface. The spring in unstretched. The spring constant of spring is 8 N/m. the coefficient of friction between blocks and horizontal surface is µ = 0.8 Now the left block is imparted a velocity u towards right as shown. The largest value of u (in m/s) such that the block of mass m2 never move is If u is represented by

5k , then k is given by. (g =10 m/s2). u A m1

k

B m2

Fixed rough horizontal surface

Q.5

3L of the 4 length of the chain is lying on table as shown in figure. The minimum coefficient of friction

A uniform chain of length L has one of its end attached to the wall at point A, while

between table and chain so that chain remains in equilibrium is

n . Find the value of n. 4

A 37°

Q.6

A particle is projected at an angle of 45° from a point lying 2 m from the foot of a wall. It just touches the top of the wall and falls on the ground 4 m from it. The height of the wall is x then 3x will be

Q.7

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with speed of 20km/h in the direction A to B, notices that a bus goes past him every t 1 = 18 minutes in the direction of motion, and every t2 = 6 minutes in the

opposite direction. If time period of Bus service is T, then find T. Assume that velocity of cyclist is less than velocity of bus. Q.8

In the arrangement shown in figure, there is friction between the blocks of masses m and 2m which are in contact. The ground is smooth. The mass of the suspended block is m. The block of mass m which is kept on mass 2m is stationary with respect to block of mass 2 m. The force of friction between m and 2m is

Q.9

A particle of mass m = 0.1 kg is released from rest from a point A of wedge of mass M = 2.4 kg free to slide on a frictionless horizontal plane. The particle slides down the smooth face AB of the wedge. When the velocity of the wedge is 0.2 m/s the velocity of the particle in m/s relative to the wedge is

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mg , then find the value of x. x

3 x, then find the value of x.

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http://manishkumarphysics.in/ Q.10 Two blocks (from very far apart) are approaching towards each other with velocities as shown in figure. The coefficient of friction for both the blocks is  = 0.2 Linear momentum of the system is conserved till time x second, then the value of x.

PHYSICS

Q.11

In a circus act, a 4 kg dog is trained to jump from B cart to A cart and then immediately back to the B cart. The carts each have a mass of 20 kg and they are initially at rest. In both cases the dog jumps at 6 m/s relative to the cart. If the cart moves along the same line with negligible friction, If the final magnitude of velocity of cart B with respect to the floor is X/36 fill x in your answer sheet.

Q.12

A solid cylinder C and a hollow pipe P of same diameter are in contact when they are released from rest as shown in the figure on a long incline plane. Cylinder C and pipe P roll without slipping. Determine the clear gap (in m) between them after 6 seconds. P C

30

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