Integrated PG | IIT R | 2015 |
5 Years
I am Himanshu Chaturvedi, a post graduate from IIT Roorkee. I have been teaching Mathematics to the students of class VI - XII of all boards since last year. My teaching style is unique and it is beneficial for boards as well as competitive examination.
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I start from very basic level as then sowly take it to the deepest level possible for students. Fun is an integrated part of my teaching which makes learning easy and long lasting.
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Let mass of ball be m, intial height h1 = 40 anf final height h2 =10 ang gravity be g so energy (E1) at intitial point can be given by
E1 = mgh1 = 20mg unit
Energy at final point (E2) = mgh = 10mg
Loss of enegy = E1 - E2 = 20mg - 10mg = 10 mg
Loss % = (10mg/20mg)*100 = 50%
Since districts need exactly 10, 15 and 20 men, total number of cases will be as follows
1) Choosing 10 men out of 45 ---> 45C10
2) Choosing 15 men from remaining 35 ---> 35C15
3) Remainning 20 to third district ---> 1
Total cases = 45C10 * 35C15 * 1
Please add the diagram.
Let at any instant t, thickness of ice is x cm.
Radius (r) of ball at t = (10 + x) cm
Volume of ball = (4/3)pi*r^3
rate of melting ofice = dV/dt = 4*pi*r^2*(dr/dt) = 50
at x = 15 , r = 10 +15 = 25
Putting the value in above equation
4*pi*25*25 (dr/dt) = 50
dr/dt = (1/50*pi)
r = 10 + x
dr/dt = dx/dt
dx/dt = (1/50*pi) cm/min
25% efficiency means, machine gives output of 25 when input is 100.
In given question Input is 1 kW = 1000 Watt
Output = 25% of input = 1000/4 = 250 watt
MQO = 90 (Angle between Radius and tangent)
MQS = 70 ( Given )
so, OQS = 20
Similarly ORS = 30
Join O and S
Now , OQ = OS ( Both are radius )
Hence OSQ = OQS = 20
Similarly OSR = ORS = 30
So, QSR = 50
QOR = 2 QSR ( Angle at the center is doble of the angle at circumference)
QOR = 100
Although options are not containing full definitions but if we choose best outof given option B is correct.
All digits except zero are significant digits in a given number, here all the 5 digits are non zero hence all are significant
So correct answer is option D.
PASCAL-SECOND is unit of coefficient of viscosity.
Vectors forming a closed figure will always add up to zero. So a closed polygon with least side is triangle hence 3 non equal vectors forming a triangle can add up to zero.
Answer: B
A magnetic field is a force field that is created by moving electric charges (electric currents) and magnetic dipoles, and exerts a force on other nearby moving charges and magnetic dipoles. At any given point, it has a direction and a magnitude (or strength), so it is represented by a vector field.
Answer: D
If a zero is found between significant digits, it is significant. Here zeros are insignificant, hence option D
Ans : D, Speed
Stress is ratio of same physical quantities hence dimensionless.
Ans : B
Ans: option B
Ans: C, Rhizome
Hydra reproduce asexually by producing buds in the body wall, which grow to be miniature adults and simply break away when they are mature.
Ans: A
Ans: B
Ans: Bud
Ans: D, Androphore
Ans: D, Rafflesia
Ans: C, Exogenous in origin