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A planet revolves around a massive star in the elliptical orbit shown. Point A on the orbit corresponds to perigee. Consider motion of the planet from position P to position Q. About A, angular momentum of the planet


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Important Questions on Physical World and Measurement

EASY
Match the columns I and II
  Column I   Column II
A Stoke's law I Pressure and energy
B Turbulence II Hydraulic lift
C Bernoulli's Principle III Viscous drag
D Pascal's law IV Reynold's number

The correct match is

EASY
Which of the following statement is incorrect?
EASY
The ratio EW of relative strength of electromagnetic force E to weak nuclear force W is, 
MEDIUM
A gas molecule of mass M at the surface of the earth has kinetic energy equivalent to 0 °C. If it were to go up straight without colliding with any other molecules, how high would it rise? Assume that the height attained is much less than the radius of the earth. (kB is Boltzmann constant)
HARD
A train is moving slowly at 2 m/s next to a railway platform. A man, 1.5 m tall, alights from the train such that his feet are fixed on the ground. Taking him to be a rigid body, the instantaneous angular velocity (in rad/s) is
EASY
Choose the correct statement from following.
EASY
Which of the following is a possible final step in applying the scientific method?
HARD

Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, right rod of length l=24a through their center. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is ω . The angular momentum of the entire assembly about the point O is L (see the figure). Which of the following statement(s) is(are) true?

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MEDIUM
A shell of mass 20 g is fired by a gun of mass 100 kg. If the shell leaves the gun with a speed of 800 m/s, the speed of recoil of the gun is
HARD
The maximum and minimum distances of a comet from the sun are 1.4×1012m and 7×1010 m. If it's velocity nearest to the sun is 6×1014 m/s, what is its velocity in the farthest position? (Assume the comet to be spherical)
HARD
Three point masses each of mass m are kept at the corners of an equilateral triangle of side L. The system rotates about the center of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to cos30°=sin60°=32
EASY
Let G, W, S and E be relative strengths of gravitational, weak nuclear, strong nuclear and electromagnetic forces. Identify the correct option
HARD
A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses m1 and m2m1>m2 are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when m1 descends by a distance h is:

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EASY

(A) Ratio of the relative strength of gravitational to weak force is nearly 10-3
(B) Ratio of the relative strength of gravitational to weak force is less than 10-3
(C) Ratio of the relative strength of strong nuclear to electromagnetic force is nearly 102
(D) Ratio of the relative strength of strong nuclear to electromagnetic force is nearly 10-2.

Which of the following is true?

EASY

A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from A to B, the angular momentum of the particle about O''

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MEDIUM

A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m. The height of the table from the ground is 0.8 m. If the angular speed of the particle is 12 rad s-1 , the magnitude of its angular momentum about a point on the ground right under the center of the circle is:

HARD
A particle of mass 20 g is released with an initial velocity 5 m s-1 along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about O will be: (Take g=10 m s-2)

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EASY
Which of the following forces have highest range?
(a) Gravitational force
(b) Weak Nuclear force
(c) Electromagnetic force
(d) Strong Nuclear force
HARD
In a particle accelerator, a current of 500 μA is carried by a proton beam in which each proton has a speed of 3×107 m/s. The cross-sectional area of the beam is 1.50 mm2. The charge density in this beam (in C/m3 is close to
 
EASY
Which of the following represents fundamental forces of nature?