The Dimension of σb4 (σ = Stefan's constant and b = Wein's Constant) are :
An athlete completes one round of a circular track of radius R in 40 seconds. The displacement at the end of 2 minutes 20 seconds is
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A body slides down a smooth curved track which is one quadrant of a circle having radius 10 m. The speed of the body at the bottom of the track is:
A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is
An engine pumps up 100 kg of water through a height of 10m in 5 sec then if the efficiency of the engine os 60% then calculate the power of the engine where g = 10m/s
A block of mass 4 kg is placed on a rough horizontal plane. A time dependent force F = k t acts on the block, where k = 2 N/s2 Force of friction between block and the plane at t = 2 sec (given coefficient of friction is 0.3)
A particle collides with another particle such that the second particle starts moving and the first particle stops just after the collision. Then which of the following conditions must always be valid? (m/M = ratio of masses)
A sphere has a perfectly elastic oblique collision with another identical sphere, which is initially at rest. The angle between their direction after the collision is
Two bodies having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momentum is
The equation of a wave is given by y = Asin ω(x/v-K) Where Asin ω is angular velocity and v is linear velocity. The dimension of K is
If two numerically equal forces P & P acting at a point produce a resultant force of magnitude P itself, then the angle between the two original forces is
A physical quantity X is related to four observables a,b,c & d as follows X = a3b2/d√c. The percentage error of measurement in a,b,c and d are 1%,3%,4% & 2% respectively, the percentage error in the quantity X is
A particle moving in a straight line covers half the distance with speed of 3m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s 7.5m/s respectively. The average speed of the particle during this motion is
A particle moves along a straight line such that its displacement at any time is given by s = t3 - 6t2 + 3t + 4 meters. The velocity when the acceleration is zero is
Three blocks of masses M1,M2 & M3 are connected by mass-less strings as shown on a friction-less table. They are pulled with a force T3 = 40N. If M1 = 10Kg, M2 = 6Kg, M3 = 4KKg then Tension T2 will be:
The blocks of mass M1 and M2 are connected to each other through a light spring as shown in figure. If we push mass M1 with a force of F and cause acceleration a in mass M1, what will be the acceleration in M2:
A balloon has 5gm of air. A small hole is pierced into it, the air escapes at a uniform rate with a velocity of 4cm/sec. If the balloon shrinks completely in 2.5 second, the mean force acting on the balloon is
Two skaters of masses 40 kg and 60 kg respectively stand facing each other at S1 and S2 where S1S2 is 5m. They pull on a massless rope stretched between them, then they meet at
A man sits on a chair supported by a rope passing over a friction less fixed pulley. The man who weights 1000N exerts a force of 450 N on the chair downwards while pulling on the rope. If the chair weight 250 N and g is 10 ms-2, then the acceleration of the chair is
A block of mass 4 kg is suspended through two light spring balances A and B. Then A and B will read __respectively
In a rocket of mass 1000 kg fuel is consumed at a rate of 40 kg/s.The velocity of the gases ejected from the rocket is 5 x 104 m/s.The thrust on the rocket is
A man walks over a rough surface; the angle between force of friction and the instantaneous velocity of the person is
A heavy uniform chain lies on a horizontal table top. If the coefficient of friction between the chain and the table surface is 0.25, then the maximum fraction of the length of the chain, that can hang over one edge of the table is
A particle is projected along the line of greatest slope up a rough plane inclined at an angle of 45° with the horizontal. If the coefficient of friction is 1/2, their retardation is
A ball thrown vertically upward returns to its starting point in 4s. Its initial speed is
A stone is dropped from a certain height which can reach the ground in 5 second. If the stone is stopped after 3 second of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is
A stone is projected upwards from the top of a building with some initial speed and reaches the ground in 5sec. Now it is allowed to fall with the same initial speed downwards and reaches the ground in 3 sec. If the stone is allowed to fall freely under gravity from the same point, it will reach the ground in
The position of a projectile is given by x = v0t - Kt2 where v0 equals 250 m/s and t is measured in seconds. Given that the velocity of the projectile falls to a value of 150 m/s at t = 5s. The value of the K is
The two ends of a train moving with a constant acceleration pass a certain point with velocities u and v. The velocity with which the middle point of the train passes the same point is
1 videos|26 docs|121 tests
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1 videos|26 docs|121 tests
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