NEET Practice Test - 21 - NEET MCQ

A unitless quantity

Which pair of following quantities has dimensions different from each other?

The dimensions of (ε₀ : permittivity of free space, E : electric field) is 

Pressure depends on distance as,   where α,β are constants, z is distance, k is Boltzmann’s constant and θ is temperature. The dimension of β are 

What are the dimensions of electrical resistance?

An ant is at a corner of a cubical room of side ‘a’. The ant can move with a constant speed u. The minimum time taken to reach the farthest corner of the cube is 

A particle is moving in a straight line with initial velocity u and uniform acceleration f. If the sum of the distances travelled in tth and (t + 1)th seconds is 100 cm, then its velocity after t seconds, in cm/s, is

A ball is thrown vertically upwards from the ground. It crosses a point at the height of 25 m twice at an interval of 4 secs. The ball was thrown with the velocity of

A parachutist drops freely from an aeroplane for 10 s before the parachute opens out. Then he descends with a net retardation of 2.5 ms^-2. If he balls out of the plane at a height of 2495 m and g = 10 ms^-2, his velocity on reaching the ground will be

The velocity of a car moving on a straight road increases linearly according to equation, v = a + bx, where a & b are positive constants. The acceleration in the course of such motion: (x is the displacement)

The position vector of a particle is given The time after which the velocity vector and acceleration vector becomes perpendicular to each other is equal to 

The retardation experienced by a moving motor boat after its engine is cut off is given by: , where k is a + ve constant. If v_o is the magnitude of velocity at cut off, the magnitude of the velocity at time t after the cut off is 

A bird flies for 4 seconds with a velocity of |t – 2| m/sec. In a straight line, where t = time in seconds. It covers a distance of

The graph shown in the figure shows the velocity v versus time t of a body. Which of the graphs shown in figure represents the corresponding acceleration versus time graphs? 

A body is projected with a speed u at an angle to the horizontal to have maximum range. At the highest point the speed is 

Ratio of the ranges of the bullets fired from a gun (of constant muzzle speed) at angle θ,2θ & 4θ is found in the ratio x : 2 : 2, then the value of x will be (Assume same muzzle speed of bullets) 

A stone projected at angle 'θ' with horizontal from the roof of a tall building falls on the ground after three second. Two second after the projection it was again at the level of projection. Then the height of the building is  

The vertical height of the projectile at time t is given by y =4t− t² and the horizontal distance covered is given by x =3t . What is the angle of projection with the horizontal? 

A stone projected at an angle of 60^o from the ground level strikes at an angle of 30^o on the roof of a building of height ‘h’. Then the speed of projection of the stone is 

A man holding a flag is running in North-East direction with speed 10 m/s. Wind is blowing in east direction with speed . Find the direction in which flag will flutter (w.r.t. man) 

A particle is projected at angle 60o with speed from the point ‘A’ as shown in the figure. At the same time the wedge is made to move with speed towards right as shown in the figure. Then the time after which particle will strike with wedge is (g = 10 m/sec²). 

A lift is moving in upward direction with speed 20 m/s and having acceleration 5 m/s² in downward direction. A bolt drops from the ceiling of lift at that moment. Just after the drop, the

At a harbour, a boat is standing and wind is blowing at a speed of due to which, the flag on the boat flutters along north-east. Now the boat enters in to river, which is flowing with a velocity of 2 m/sec due north. The boat starts with zero velocity relative to the river and its constant acceleration relative to the river is 0.2 m/sec² due east. In which direction will the flag flutter at 10 seconds?

A man crosses the river perpendicular to river flow in time t seconds and travels an equal distance down the stream in T seconds. The ratio of man’s speed in still water to the speed of river water will be 

A particle is moving in a straight line whose acceleration versus time graph is given. Assume that initial velocity is in the direction of acceleration. Then which of the statement is correct between time t = 0 to t = t_o.  

Two boats A and B having same speed relative to river are moving in a river. Boat A moves normal to the river current as observed by an observer moving with velocity of river current. Boat B moves normal to the river as observed by the observer on the ground.  

A train is standing on a platform, a man inside a compartment of a train drops a stone. At the same instant train starts to move with constant acceleration. The path of the particle as seen by the person who drops the stone is