Which of the following physical quantities has a unit but no dimensions?
Which of the following pairs of physical quantities have same dimensions?
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Which of the following statements is incorrect regarding significant figures?
The radius of a sphere is 1.41cm. Its volume to an appropriate number of significant figures is
The mass of a box measured by a grocer's balance is 2.3 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. The total mass of the box is:
A truck is coming towards you from a distance of 1000m on a straight road, at time t=0. It reaches you in 100sec. The average speed in m/s is
A stone thrown from the top of a building is given an initial velocity of 20.0 m/s straight upward. Determine the time in seconds at which the stone reaches its maximum height.
g =9.8 m / sec2
A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final speed of 2.80 m/s. Find its acceleration in m/s2
A truck is coming towards you from a distance of 1000m on a straight road, at time t=0. The driver stops for a second near a poster. He reaches you in 100 sec. The average speed in m/s is
A stone thrown from the top of a building is given an initial velocity of 20.0 m/s straight upward. Determine the maximum height it travels in meters. g =9.8 m / sec2
A person moves 30 m north, then 30 m east, then 30√2 m south-west. His displacement from the original position is:
A bird flies from (-3m, 4m, -3m) to (7m, -2m, -3m) in the xyz- coordinates. The bird's displacement vector is given by
On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, the displacement of the motorist at the third turn is
Rain falls at a speed of 50m/s and a child walks on a straight road from east to west at a speed of 100m/s. To find the direction in which the child should hold the umbrella use
Which of the following quantity does not remain constant during the uniform circular motion?
Two stones of different masses are thrown vertically upward with same initial velocity. Which one will rise to a greater height ?
The motion of a freely falling body is an example of:
A meter rule is supported at its centre. It is balanced by two weights, A and B. If A and B are placed at a distance 20 cm, and 40 cm from the centre of scale, find the weight of B. The weight of A is 50N.
There are two blocks of mass 3 kg and 5 kg hanging from the ends of a rod of negligible mass. The rod is marked in eight equal parts as shown. At which of the points indicated should a string be attached if a rod is to remain horizontal when suspended from the string?
A planet is moving in an elliptical path around the sun as shown in figure. Speed of planet in positional P and Q are υ1 and υ2 respectively with SP = r1 and SQ = r2 , then υ1/υ2 is equal to
Consider two configurations of a system of three particles of masses m, 2m and 3m. The work done by external agent in changing the configuration of the system from figure (i) to figure (ii) is
Three particles P, Q and R placed as per given figure. Masses of P, Q and R are √3 m, √3 m and m respectively. The gravitational force on a fourth particle ‘S’ of mass m is equal to
How much deep inside the earth should a man go so that his weight becomes one fourth of that at a point which is at a height R above the surface of earth .
Three identical stars of mass M are located at the vertices of an equilateral triangle with slide L. The speed at which they will move if they all revolve under the influence of one another’s gravitational force in a circular orbit circumscribing the triangle while still preserving the equilateral triangle
The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is x times that of B from the sun. Find x.
If an artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity form the earth, the height of the satellite above the surface of the earth is
A uniform ring of mass M and radius R is placed directly above uniform sphere of mass 8M and of same radius R. The centre of the ring is at a distance of d = √3R from the centre of sphere. The gravitational attraction between the sphere and the ring is
An increase in temperature in a liquid would cause a phase change to which of the following?