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A particle moves in a straight line with velocity 20 $\frac{m}{s}$ and acceleration -4 $\frac{m}{s^2}$. Find the velocity after 5 seconds.

What is the rate of change of velocity called?

Calculate the work done by the brakes of a car of mass 1000 kg when its speed is reduced from 20 m/s to 10 m/s?

1. 250

Two bodies 'A' and 'B' having masses M and 3M respectively are kept at a distance 'y' apart. A small particle is to be placed so that the net gravitational force on it due to A and B is zero. Its distance from mass A will be

A real image of half the object size is obtained in a concave spherical mirror with a radius of curvature of $40cm$. The distance of the object and that of its image from the mirror will be respectively:

An object A is thrown in the upward direction from ground. Which of the following displacement-time graph describes the motion of object A correctly? (Take upward direction as positive)

How much does the force of gravitation between two objects increase when the distance between them is reduced to one-fourth of the initial value?

1. 135200

The coldest layer of the atmosphere is -

6.4 kJ of energy causes a displacement of 64 m in a body in the direction of force in 2.5 seconds. Calculate the Power in horsepower (HP). (Take 1 HP = 746 W)

If the distance between two masses is increased by a factor of 5, by what factor would the mass of them have to be altered to maintain the same gravitational force? Would this be an increase or decrease in the mass.

The value of 'g' is minimum:

Two cubes of ice are pressed between two palms. after releasing pressure the cubes join together.why?

A girl having mass of 35kg sits on a trolley of mass 5kg. The trolley is given an initial velocity of 4m/s by applying a force. The trolley comes to rest after travelling a distance of 16m.
(a) How much work is done on the trolley?
(b) How much work is done by the girl?
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A wooden cube just floats inside water with a $200\text{g}$ mass placed on it. When the mass is removed, the cube floats with its top surface $2\text{cm}$ above water level. What is the side of the cube?

Two bodies of masses $m_a$ and $m_b$ are dropped from different heights ${}^{\prime }{a}^{\prime }$ and $‘b^{\prime }$. The ratio of time taken by them to reach the ground is:

An apple of mass 100 g falls from a tree because of gravitational attraction between the earth and the apple. If the magnitude of force exerted by the earth on the apple be $F_1$ and the magnitude of force exerted by the apple on the earth be $F_2$, then :
(a) $F_1$ is very much greater than $F_2$
(b) $F_2$ is very much greater than $F_1$
(c) $F_1$ is only a little greater than $F_2$
(d) $F_1$ and $F_2$ are exactly equal

An object weighs $50N$. Weight of water of volume equal to the volume of the object is $70N$. Find out the relative density (${\rho }_r$) of the object.

No matter how far you stand from a mirror, your image appears erect. The mirror is likely to be

(a) plane

(b) concave

(c) convex

(d) either plane or convex

What is the minimum distance from an obstacle in order to hear an echo? (minimum time = 0.1 s)

A string of length $1.5m$ is tied to a stone of mass of $0.2kg$ and is made to revolve at a speed of $1.2m{s}^{-1}$. What is the centripetal force experienced by the stone?

An $\alpha$ particle moving with velocity $\frac{1}{30}$ th times of velocity of light. If uncertainity in position is $\frac{3.31}{\pi }\text{pm}$, then minimum uncertainity in kinetic energy is:

State the condition need to be satisfied for work to be done

Which of the following objects has the maximum inertia?

A train is running with uniform velocity in the east direction. A car is running on a road parallel to the track with uniform speed. After some time, the road becomes perpendicular to railway track. The car driver notices that initial speed of train with respect to itself was $7\text{m/s}$ and later on it became $13\text{m/s}$. What can be the true speed of the car?

You are pushing a wall. Can your pushing on wall called motion

If a current carrying conductor is placed near a heap of iron filings, we can observe some disturbance in iron fillings because of________.

Explain the following:
(a) When a train suddenly moves forward, the passenger standing in the compartment tends to fall backwards.
(b) When a Corridor train suddenly starts, the sliding doors of some compartment may open.
(c) Peope often shake branches of a tree for getting the fruits down.
(d) After alighting from a moving bus, one has to run for some distance in the direction of bus in order to avoid falling.
(e) Dust particles are removed from a carpet by beating it.
(f) It is advantageous to run before taking a long jump.

A telescope using light having wavelength $5000\mathring{A}$ and using lenses of focal lengths $2.5\text{cm}$ and $30\text{cm}$. If the diameter of the aperture of the objective is $10\text{cm}$, then the resolving power of the telescope is-

What is a leap year ?

A beam of light of wavelength $500\text{nm}$ from a distant source falls on a single slit $2\text{mm}$ wide and the resulting diffraction pattern is observed on a screen $2.2\text{m}$ away. The distance between the first dark fringes on either side of the central bright fringe is