Question 1 :
By rounding off, (a) $20.96$ and (b) $0.0003125$ to three significant figures, we get
Question 3 :
Consider the following two statements A and B and identify the correct answer.<br/>A) Two quantities which are to be added must have the same dimensions.<br/>B) Two quantities which are to be multiplied must have the same dimensions.
Question 7 :
A science student takes 100 observations in an experiment. Second time he takes 500 observations in the same experiment. By doing so the possible error becomes :
Question 8 :
The least count of a stop watch is $\frac { 1 } { 5 } s$. The time of 20 oscillations of a pendulum is measured to be $25 s$. What is the maximum percentage error in this measurement ?
Question 9 :
In which year did Hahn and Meitner discover the phenomenon of neutron-induced fission of uranium. ?
Question 10 :
Antoine Henri Becquerel was awarded the Nobel Prize in $1903$ for.
Question 11 :
Acceleration of a body projected upwards with a certain velocity is
Question 12 :
<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 13 :
From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If $\displaystyle { v }_{ A }$ and $\displaystyle { v }_{ B }$ are their respective velocities on reaching the ground, then
Question 14 :
The acceleration of a body projected upwards with a certain velocity is
Question 15 :
If a ball is thrown vertically upwards with 40 m/s its velocity after two second will be:-
Question 16 :
A bowling ball is rolling westward and slowing down as it approaches the end of the alley. The direction of the bowling ball's acceleration is :
Question 18 :
A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m and velocity 1.25 v. Find out the ratio of momentum of P and Q.<br/>
Question 19 :
A block of mass $50\, kg$ slides over a horizontal distance of $1\,m$. If the coefficient of friction between their surfaces is $0.2$,then work done against friction is:
Question 20 :
A body of mass $5  kg$ undergoes a change in speed form $30 m/s$ to $40  {m}/{s}$. Its momentum would increase by
Question 21 :
The maximum speed of a car on a road turn of radius $30\;m$, if the coefficient of friction between the tyres and the road is $0.4$, will be
Question 22 :
Circular Motion can be an example of periodic motion. State whether the given statement is True or False.
Question 23 :
A marble is dropped vertically, Another identical marble $B$ is projected horizontally from the same point at the same instant :
Question 24 :
A ball is projected at an angle ${30}^{o}$ with the horizontal. What is the component of acceleration along the velocity of projection?
Question 25 :
A $150$ meter long train is moving towards north with a velocity of $10m/s$. A parrot is flying in the south direction parallel to train at $5m/s$. The time taken by the parrot in crossing the train is<br>
Question 27 :
A boy weighing $25 \ kgf$ climbs up from the first floor at a height $3 \ m$ above the ground to the third floor at a height $9 \ m$ above the ground. What will be the increase in his gravitational potential energy? (Take $ g =10 N kg^{-1}$)
Question 28 :
A man of 30 kg jumps up to a height of 2 m . What is his potential energy at the highest point ?
Question 29 :
Name the type of energy (kinetic energy $K$ or potential energy $U$) possessed in a compressed spring:
Question 31 :
 The mass of a loaded truck $10$ tonnes is going at a speed of $20 \ kmph$. A box of mass $2$ tonnes slips from it and falls on the road. Find the final velocity of truck (assume that the power of the engine is constant) ?<br/>
Question 33 :
A ball of mass M moving with a velocity V collides head on elastically with another of same mass but moving with a velocity v in the opposite direction. After collision,<br>
Question 34 :
The coefficient of restitution of a perfectly elastic collision is :
Question 35 :
The orbital angular velocity vector of a geostationary satellite and the spin angular velocity vector of the earth are<br>
Question 36 :
Acceleration due to gravity ---------- with height from the surface of the earth.
Question 37 :
Time period of a satellite in an orbit of radius R is T. Its period of revolution in an orbit of radius 4R will be<br>
Question 38 :
If the earth stops rotating, the apparent value of $g$ on its surface will<br>
Question 39 :
The escape velocity of a sphere of mass $m$ is given by<br>
Question 41 :
The escape velocity of a body from the earth is $u$. What is the escape velocity from a planet whose mass and radius are twice those of the earth?<br>
Question 42 :
To have an earth synchronous satellites it should be launched at the proper height moving from
Question 43 :
The linear velocity of a particle at the N- pole of the earth due to its rotation is:<br/>
Question 45 :
A flywheel rotates at a constant speed of $3000\ rpm$. The angle described by the shaft in radian in one second is:<br/>
Question 46 :
A car is travelling at a given instant 40 m/s on a circular road of radius 400 m. Its speed is increasing at the rate 3 m/s. Its  acceleration is
Question 47 :
A closed tube partially filled with water lies in a horizontal plane. If the tube is rotated about perpendicular bisector, the moment of inertia of the system will
Question 49 :
The average angular velocity of the spinning motion of the Earth in $rads^{-1}$ will be :<br/>
Question 50 :
The moment of inertia of a disc of radius 0.5 m about its geometric axis is 2 kg-$m^2$. If a string is tied to its circumference and a force of 10 Newton is applied, the value of torque with respect to this axis will be :-