Question 1 :
Subtract $$2.5 \times {10}^{4}$$ from $$3.9 \times {10}^{5}$$ and give the answer to correct number of significant figures.
Question 2 :
The dimensions of quantity $$ \dfrac{1}{\mu_0} (\vec{E} \times \vec{B})$$ are:$$ [\mu_0= $$ permeability of free space, $$ \displaystyle E^1= $$ electric field strength, $$ \displaystyle B^1=$$ magnetic  field  induction $$] $$ 
Question 3 :
In planetary motion the areal velocity of position vector of a planet depends on angular velocity $$\omega$$ and the distance $$r$$ of the planet from sun. If so, the correct relation for areal velocity is:
Question 5 :
Fill in the blank:<br/>The last digit in the measurement gives the first $$\underline{\hspace{0.5in}}$$digit.
Question 6 :
When $$CO_{2}(g)$$ is passed over red-hot coke it partially gets reduced to $$CO(g)$$. Upon passing $$0.5$$ litre of $$CO_{2}(g)$$ over red-hot coke, the total volume of the gases increased to $$700\ mL$$. The composition of the gaseous mixture at STP is :
Question 7 :
The addition of two numbers $$\displaystyle 6.75\times 10^{3}$$ cm and $$\displaystyle 4.52 \times 10^{2}$$ cm with regard to significant figures is:
Question 8 : <p>A helicopter is flying south with a speed of $$50\ kmh^{-1}$$. A train is moving with the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be $$50 \sqrt {2}\ kmh^{-1}$$ towards</p>
Question 9 :
An elevator is moving up with $$2.5 m{ s }^{ -1 }$$. A bolt in the elevator ceiling $$3\ m$$ above the elevator falls. How long (in seconds) does it take for the bolt to fall on the floor of the elevator?<br>
Question 10 :
A block is released from rest at the top of a frictionless inclined plane 16 m long. It reaches the bottom 4 sec later. A second block is projected up the plane from the bottom at the instant the block is released in such a way that it returns to the bottom simultaneously with first block. The acceleration of each block on the incline is
Question 11 :
A body thrown up with a finite speed is caught back after 4 sec. The speed of the body with which it is thrown up is
Question 12 :
A ball is thrown vertically upward with speed $$10$$ m/s and it returns to the ground with speed $$8$$ m/s. A constant air resistance acts. The maximum height attained by the ball is?
Question 13 :
In the free fall, ......... energy of the man is converted into ......... energy. 
Question 14 :
A body freely falling from a height $$h$$ describes $$\dfrac {7h}{16}$$ in the last second of its fall. The height $$h$$ is $$(g=10\ {ms}^{-2})$$
Question 16 :
Which one of the following is most probably not a case of uniform circular motion?
Question 17 :
A projectile has a range of 50 mand reaches a maximum height of 10 m calculate the angle at which the projectile is fired.
Question 18 :
A bullet is fired horizontally from a rifle at a distant target. Ignoring the effect of air resistance, which of the following are values of horizontal acceleration & vertical acceleration ?<br/>
Question 19 :
The average acceleration vector for a particle having a uniform circular motion in one complete revolution.
Question 20 :
If $$\displaystyle \vec{a},\vec{b},\vec{c},\vec{d},\vec{e},\vec{f}$$ are position vectors of 6 points A, B, C, D, E & F respectively such that $$\displaystyle 3\vec{a}+4\vec{b}=6\vec{c}+\vec{d}=4\vec{e}+3\vec{f}=\vec{x}$$ then
Question 21 :
In circular motion if $$\bar{v}$$ is velocity vector, $$\bar{a}$$ is acceleration vector, $$\bar{r}$$ is instantaneous position vector, $$ \bar{p}$$ is momentum vector and $$\bar{\omega}$$ is angular velocity of particle, then:
Question 22 :
When you hit a wall and sponge with equal force. Which case will hurt more?
Question 23 :
Limiting friction is _______ to the normal reaction.fill in the blank.<br/>
Question 24 :
A man is at rest in the middle of a block of smooth ice. He cannot get to the shore by making use of Newton's
Question 26 :
Which of the following statements are correct regarding linear momentum of a body?<br>
Question 27 :
A road is $$8\ m$$ wide. Its radius of curvature is $$40\ m$$. The outer edge is above the lower edge by  distance of $$1.2\ m$$. The most suited velocity on the road is nearly:
Question 28 :
When a body is rolling without slipping on a rough horizontal surface,the work done by friction is
Question 29 :
A uniform rod is $$4\ m$$ long and weight $$10\ Kg$$. If it is supported on a knife edge at one metre from the end, what weight placed at that end keeps the rod horizontal?
Question 30 :
A rocket of mass $$4000\  kg$$ is set for vertical firing. How much gas must be ejected per second so that the rocket may have initial upwards acceleration of magnitude $$19.6\ m{ /s }^{ 2 }$$? [Exhaust speed of fuel $$=980m/s$$]<br/>
Question 31 :
A particle is moving in a circular path in the vertical plane. It is attached at one end of a string of length $$l$$ whose other end is fixed. The velocity at lowest point is $$u$$. The tension in the string is $$\displaystyle \vec{T}$$ and acceleration of the particle is $$\displaystyle \vec{a}$$ at any position. Then $$\displaystyle \vec{T}.\vec{a}$$ is zero at highest point if
