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A ball is dropped from a high rise platform at $t=0$ starting from rest. After $6$ seconds another ball is thrown downwards from the same platform with a speed $v$. The two balls meet at $t=18\text{s}$. What is the value of $v$ ?

(take $g=10{\text{m/s}}^2$)

While testing the safety of a car, a dummy driver is used and the car is propelled at different speeds to hit a rigid wall. In one such test, the dummy driver had a mass of 70 kg and the speed of the car just before impact was $40m{s}^{-1}$ . If the time interval between the collision and the car coming to rest was 0.2 s, then find the deceleration of the dummy driver due to impact.

Question 4

The change in focal length of an eye lens is caused by the action of the



(a) pupil

(b) retina

(c) ciliary muscles

(d) iris

Can you hear the sound produced due to vibrations of a seconds' pendulum ? Give reason.

Identify the part of the Newtonian telescope which results in a magnified image of the object.

If a bus travelling at 20 m/s is subjected to a steady deceleration of 5 $m/s^2$, how long will it take to come to rest?

What does the area below $v–t$ graph give?

Does the gravity affects the speed of light

A spherical mirror forms an image of magnification m=±3. The object distance, if focal length of mirror is 24 cm, may be

Draw a detailed diagram of screw gauge and explain its different parts.

Find equivalent resistance of the given circuit.

A car accelerates from rest to 100 $m{s}^{-1}$ in 10 seconds. If mass of the car is 50 kg then power developed by the engine is:

A ball starts to roll over a horizontal surface with an initial velocity of $0.5m/s$. Due to friction, it stopped after 10 seconds. Calculate the acceleration of the ball.

Describe the type of motion

Calculate the work done in bringing a unit positive test charge from a point with potential 200 V to a point at potential 100 V.

A man can see the object clearly, between the distance range $15\text{cm}$ to $30\text{cm}$. He uses a lens to see faraway objects. Due to this lens, his near point will be -

Calculate the mass of the sun if the mean radius of the earth's orbit is $1.5\times {10}^8\text{km}$ and $G=6.67\times {10}^{-11}{\text{Nm}}^2/{\text{kg}}^2$.

A scooter is moving with an initial velocity of 90km per hour and it takes 10s to stop it,better the brakes are applied. Calculate the force exerted by the brakes on the scooter, if it's mass along with the rider is 200kg. What would be the force if the mass is halved?

A vessel containing 50 kg of water is placed at a height of 15 m above the ground.Assuming the gravitational potential energy at ground to be zero,what will be the gravitational potential energy,of water in the vessel?(g=10 m $s^{-2}$)

If a bar magnet is made to hang from the ceiling using a thread. Then along which direction will the north pole of bar magnet align itself?

The bodies situated on the surface of earth at
its equator, becomes weightless, when the earth has KE about it axis

The density of water is :
(a) 1000 g $c{m}^{-3}$ (b) 1 kg $m^{-3}$
(c) 1 g $c{m}^{-3}$ (d) none of these.

Use the following information to answer the next question.

The thimble of a given screw gage has 100 divisions. The main scale has 10 divisions between 0 cm and 1 cm marks.

.

What is the minimum length that can be measured by using the given screw gage.

The point at which the whole weight of the body appears to be concentrated is called

For a linear elastic beam shown in the figure, the flexural rigidity EI, is $781250kN-m^2$. When $w=100kN/m$, the vertical reaction $R_A$ for $w=100kN/m$ is

One newton-metre is equal to one _____.

In the graph given below, what is the acceleration at $t=1\text{s}$?

A polyatomic ideal gas has $24$ vibrational modes. What is the value of $\gamma$ of the gas?

The inertia of a moving object depends on ___.

A freight train rolls along a track with considerable momentum. If it were to roll at the same speed but had twice as much as mass, its momentum would be: