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A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution.
If this particle were projected with the same speed at an angle ‘θ’ to the horizontal, the maximum height attained by it equals 4R. The angle of projection, θ, is then given by ______.
Concept: undefined >> undefined
From a circular ring of mass ‘M’ and radius ‘R’ an arc corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is ‘K’ times ‘MR2 ’. Then the value of ‘K’ is ______.
Concept: undefined >> undefined
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A car starts from rest and accelerates at 5 m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s? (Take g = 10 m/s2)
Concept: undefined >> undefined
A certain pendulum clock with a 12 h dial happens to gain 1.0 min/day. After setting the clock to the correct time, how long must one wait until it again indicates the correct time?
Concept: undefined >> undefined
The bottom of swimming pool appears to be less deep than the actual one because of
Concept: undefined >> undefined
The distance between two particles is decreasing at the rate of 6 m/s. If these particles travel with same speed and in the same direction, then the separation increases at the rate of 4 m/s. The particles have speed respectively as
Concept: undefined >> undefined
A point object moves along an arc of a circle of radius 'R'. Its velocity depends upon the distance covered 'S' as V = `Ksqrt(S)` where 'K' is a constant. If 'e' is the angle between the total acceleration and tangential acceleration, then
Concept: undefined >> undefined
A flywheel at rest is to reach an angular velocity of 24 rad/s in 8 second with constant angular acceleration. The total angle turned through during this interval is ______.
Concept: undefined >> undefined
The output characteristic curve of a transistor at constant input current is plotted between
Concept: undefined >> undefined
The radii of two copper spheres are in the ratio 1 : 3 and their temperatures are in the ratio 9 : 1. The ratio of heat content in them will be:
Concept: undefined >> undefined
A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. the total energy of the satellite in terms of g0, the value of acceleration due to gravity at the earth's surface, is
Concept: undefined >> undefined
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a. If its velocity is made equal to 2v. What will be the centripetal acceleration?
Concept: undefined >> undefined
If two bulbs of wattages 25 W and 100 W respectively each rated by 220 V are connected in series with the supply of 440 v·then which bulb will fuse?
Concept: undefined >> undefined
When cells are connected in parallel, then ______
Concept: undefined >> undefined
A monoatomic gas molecule has ______.
Concept: undefined >> undefined
Ampere's circuital law is used to find out ______
Concept: undefined >> undefined
Two monoatomic gas A and B occupying the same volume V are at the same temperature T and pressure P. If they are mixed, the resulting mixture has volume V and temperature T. The pressure of the mixture is:
Concept: undefined >> undefined
If a body is moving in a circle of radius r with a constant speed v, its angular velocity is ______.
Concept: undefined >> undefined
Which of the following statement given below are correct for monoatomic gas?
I. Cv = `3/2 "R"`
II. Cp = `5/2 "R"`
III. Cp − Cv = 2R
IV. `"C"_"p"/"C"_"v" = 5/3`
Concept: undefined >> undefined
A thick current carrying cable of radius ‘R’ carries current ‘I’ uniformly distributed across its cross-section. The variation of magnetic field B(r) due to the cable with the distance ‘r’ from the axis of the cable is represented by:
Concept: undefined >> undefined
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