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PHYSICS
BANSAL CLASSES
Daily Practice Problems
Target IIT JEE 2007
CLASS: XI (PQRS)
Q1
T
-
(B)
4A
(D)
( O f
4^2A
Two particles A and B perform SHM along the same straight line with the same amplitude 'a', same frequency ' f and same equilibrium position 'O'. The greatest distance between them is found to be 3 a/2. At some instant oftime they have the same displacementfrommean position. What is the displacement? (B) a-s/7/4
(C) V i a / 2
.
(D) 3a/4
A particle of mass m moves in a one-dimensional potential energy U(x) = -ax 2 + bx 4 , where 'a' and 'b' are positive constants. The angular frequency of small oscillations about the minima ofthe potential 1 energy is equal to ^ (A
Q.6
(a)
(b) Q7
NO.-89
(A)f Two particles P and Q describe simple harmonic motions of same period., same amplitude, along the same line about the same equilibrium position O. WhenP and Q are on opposite sides o f t ) at the same distance from O they have the same speed of 1.2 m/s in the same direction, when their displacements are the same they have the same speed of 1.6 m/s in opposite directions. The maximum velocity in m/s of either particle is (A)2.8 (B) 2.5 ' (C) 2.4 (D)2
(A) a/2 Q5
DPR
(D)"
(C)"
(B)-
in time —is
Q.4
60 Mitt
Aparticle executes SHM with time period T and amplitude A. The maximum possible average velocity •
Q3
MAX. TIME:
Two p articles execute SHM of same amplitude of20 cm with same period along the same line about the same equilibrium position. The maximum distance between the two is 20 cm. Their phase difference in radians is ' <A)f
Q.2
DATE; 02-03/01/2006
In the arrangement shown, the spring of force constant 600N/m is in the unstretched position. The coefficient of friction between the two blocks is 0.4 and that between the lower block & ground surface is zero. If both the blocks are displaced slightly and released, the system executes SHM. Find time period of their oscillation if they do not slip w.r.t. each other. What is the maximum amplitude of the oscillation for which sliding between them does not occur. A block of mass'm' is interconnected to a block of mass '2m 5 by a massless linear spring of force constant 'k', as shown. The upper block is initially resting in equilibrium. A constant force 'F' starts acting on the upper block at a certain instant oftime, t = 0. If F = mg, find 'y' as a function oftime 't' where y = upward displacement o f ' m ' from its initial position.