Significance and Applications of Gas Laws

Q. In May 2016, Phalodi in Rajasthan recorded India's highest-ever temperature of 51 $oC$. What is its reading on Kelvin scale?

1. 324.15

Q.

Give reasons for the following:
(a) all temperatures in the absolute (Kelving) scale are in positive figures.
(b) Gases have lower density compared to that of solids or liquids.
(c) Gases exert pressure in all directions.
(d) It is necessary to specify the pressure and temperature of a gas while stating its volume.
(e) inflating a balloon seems to violate Boyle's law.
(f) Mountaineers carry oxygen cylinders with theml.
(g) gas fills completely the vessel in which it is kept.

Q. If there are $n$ circles in a plane which gives $56$ points of intersection, then the minimum value of $n$ is

Q. If there are $n$ circles in a plane which gives $56$ points of intersection, then the minimum value of $n$ is

Q. The maximum number of points of intersection of five lines and four circles in a plane is

1. $70$
2. $72$
3. $60$
4. $62$

Q. If there are $n$ circles in a plane which gives $56$ points of intersection, then the minimum value of $n$ is

1. $7$
2. $8$
3. $10$
4. $12$

Q. Straight lines are drawn by joining $m$ points on a straight line to $n$ points on another line. Then excluding the given points, the number of point of intersections of the lines drawn is (no two lines drawn are parallel and no three lines are concurrent)

1. $\frac{1}{2}{m}^2{n}^2$
2. $\frac{1}{4}mn(m-1)(n-1)$
3. $\frac{1}{4}{m}^2{n}^2$
4. $\frac{1}{2}mn(m-1)(n-1)$

Q. Let there be 9 fixed points on the circumference of a circle . Each of these points is joined to every one of the remaining 8 points by a straight line and the points are so positioned on the circumference that atmost 2 straight lines meet in any interior point of the circle . The number of such interior intersection points is

1. 126
2. 351
3. 756
4. 526

Q. Straight lines are drawn by joining $m$ points on a straight line to $n$ points on another line. Then excluding the given points, the number of point of intersections of the lines drawn is (no two lines drawn are parallel and no three lines are concurrent)

1. $\frac{1}{4}mn(m-1)(n-1)$
2. $\frac{1}{2}mn(m-1)(n-1)$
3. $\frac{1}{2}{m}^2{n}^2$
4. $\frac{1}{4}{m}^2{n}^2$

Q. If there are $n$ circles in a plane which gives $56$ points of intersection, then the minimum value of $n$ is