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A body starts from rest with constant acceleration a, its velocity after n second is v. The displacement of body in last two seconds is ______.
Concept: undefined >> undefined
In the interference of two sources of intensities I0 and 9I0 the intensity at a point where the phase difference is `pi/2` is ______.
Concept: undefined >> undefined
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A short magnet produces a deflection of 30° when placed at certain distance in tanA position of magnetometer. If another short magnet of double the length and thrice the pole strength is placed at the same distance in tanB position of the magnetometer, the deflection produced will be:
Concept: undefined >> undefined
A circular disc of radius r = 5m is rotating in horizontal plane about y-axis. Y-axis is vertical axis passing through the centre of disc and x-z is the horizontal plane at ground. The height of disc above ground is h = 5 m. Small particles are ejecting from disc in horizontal direction with speed 12 m/s from the circumference of disc then the distance of these particles from origin when they hits the x-z plane is:
Concept: undefined >> undefined
A block of mass m = 1 kg moving on horizontal surface with speed u = 2 m/s enters a rough horizontal patch ranging from x = 0.10 m to x = 2.00 m. If the retarding force fr on the block in this range is inversely proportional to x over this range i.e.
fr = `"-k"/x` 0.10 < x < 2.00
= 0 for x < 0.10 and x > 2.00
If k = 0.5 J then the speed of this block as it crosses the patch is (use ℓn 20 = 3)
Concept: undefined >> undefined
In a hydraulic press, there is a larger piston of diameter 35 cm at a height of 1.5 m relative to the smaller piston of diameter 10 cm. A 20 kg mass is loaded on the smaller piston. The density of oil in the press is 750 kg/m3. The thrust on the load by the larger piston is ______.
Concept: undefined >> undefined
The minimum radius of a circle along which a cyclist can ride with a velocity 18 km/hr if the coefficient of friction between the tyres and the road is µ = 0.5, is ______ (Take g = 10 m/s2)
Concept: undefined >> undefined
Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is `pi/3` and its maximum height is y1 then the maximum height of the other will be ______.
Concept: undefined >> undefined
Block A has a mass of 2 kg and block B has 20 kg. If the coefficient of kinetic friction between block B and the horizontal surface is 0.1, and B is accelerating towards the right with a = 2 m/s2, then the mass of the block C will be ______.
(g = 10 m/s2)
Concept: undefined >> undefined
For a projectile thrown into space with a speed v, the horizontal range is `(sqrt3"v"^2)/(2"g")`. The vertical range is `"v"^2/(8"g")`. The angle which the projectile makes with the horizontal initially is ______.
Concept: undefined >> undefined
A chain of mass 'M' and length 'L' is put on a rough horizontal surface and is pulled by constant horizontal force 'F' as shown in the figure. The velocity of the chain as it turns completely ______.
(Coefficient of friction = μ)
Concept: undefined >> undefined
The figure shows two fish tanks, each having ends of width 1 foot. Tank A is 3 feet long while tank B is 6 feet long. Both tanks are filled with 1 foot of water.
SA = the magnitude of the force of the water on the end of tank A
SB = the magnitude of the force of the water on the end of tank B
BA = the magnitude of the force of the water on the bottom of tank A
BB = the magnitude of the force of the water on the bottom of tank B. Using the notation given above, Which one of the following sets of equations below is correct for this situation?

Concept: undefined >> undefined
A person standing on a truck moving with a uniform velocity of 14.7 ms-1 on a horizontal road throws a ball in such a way that it returns to him after 4s. Find the speed and angle of projection as seen by a man on the road ______.
Concept: undefined >> undefined
The coefficient of static friction between a car's tires and a level road is 0.80. If the car is to be stopped in a maximum time of 3.0 s, its speed cannot exceed.
Concept: undefined >> undefined
If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is ______.
Concept: undefined >> undefined
A quantity x is by (IFv2/WL4) in term of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is same as that of ______.
Concept: undefined >> undefined
The trajectories of the two projectiles are shown in the figure. Let T1 and T2 be the time periods and u1 and u2 be their speeds of projection. Then ______.
Concept: undefined >> undefined
Starting from rest, a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is ______.
Concept: undefined >> undefined
If the magnetic lines of force are shaped like arcs of concentric circles with their centre at point O in a certain section of a magnetic field ______.
Concept: undefined >> undefined
The radioactivity of an old sample of whisky due to tritium (half-life 12.5 years) was found to be only about 4% of that measured in a recently purchased bottle marked 10 years old. The age of a sample is ______ years.
Concept: undefined >> undefined
