New Concepts/Shortcuts 13

Question 1

what can be thought for these kind of questions with variables given?

Answer 1

the quantity in this can be -ve as it meets with with y axis at a positive value and hence we can put the value of x as 0 and see what is positive to find a possible answer

Question 2

how are the normals are applied on the spherical objects at point objects

Answer 2

Question 3

shortcut for Atwood’s machine of T and a

Answer 3

Question 4

spriing cutting concept

Answer 4

Question 5

friction exerted graph

Answer 5

Question 6

whats contact force

Answer 6

Question 7

F and U relation

Answer 7

Question 8

when does the insect starts slipping on an inverted hemisphere

Answer 8

Question 9

radius of curvature of a curved motion

Answer 9

Question 10

radius of curvature for a projectile motion

Answer 10

Question 11

conical pendulum formulae

Answer 11

Question 12

tension relations at horizontal and vertical condition in a vertical motion of bob

Answer 12

Question 13

theta angle made by the pendulum after breaking the string if its between the upper point and horizontal point

Answer 13

Question 14

banking of road conditions for max and min velocity for slipping

Answer 14

Question 15

COM for a semicircular ring

Answer 15

Question 16

halide formulae of 3D series

Answer 16

Question 17

oxides of 3d metals

Answer 17

Question 18

magnetic moments values

Answer 18

Question 19

OS of actinides

Answer 19

Question 20

ionic mobility is directly or inversely related to size of the in

Answer 20

directly related

more the size less the hydration enthalpy , less the amount of H2O around the ion

and hence more ionic mobility

Question 21

trigo equations ranges and solutions

Answer 21

Question 22

graph of quadratic vertex coordinates

Answer 22

Question 23

if k lies in between the roots of quadratic equation then whats the condition

Answer 23

Question 24

if exactly one root lies in the interval k1,k2

then the necessary and sufficient condition is

Answer 24

Question 25

theory of equations

Answer 25

Question 25

SNS formulae for r,r^2,r^3 summation

Answer 25

Question 26

common ratio formula for putting n means between two number a and b

Answer 26

Question 27

what to sub x by in (1+x)^n if we want to take out binomial coeff with a difference of 2,3,4

Answer 27

Question 28

ln(1+x) expansion

Answer 28

Question 28

conditional probability formula

Answer 28

Question 29

e^x formula of limits which had

Answer 29

Question 30

e^x expanded

Answer 30

Question 31

Answer 31

Question 31

sin x
cos x
tan x

expansion

Answer 31

Question 32

stephen’s reaction with intermediate

Answer 32

Question 33

Answer 33

Question 34

shortcut for COM cavity questions

Answer 34

Question 35

gravity/electrical field inside a cavity in sphere

Answer 35

Question 36

BOD value for polluted water and clean water

Answer 36

polluted: 17 ppm or more
clean: less than 5 ppm

Question 37

PCl5 with water forms?

Answer 37

POCl3 + HCl