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• ## Question: What are the characteristics of the image formed by a pinhole camera ?

Posted in: Physics | Date: 17/09/2015

I​mage in a pin hole camera is real , inverted and smaller in size.

• ## Question: Why does a rectangular coil carrying current rotate in a magnetic field?

Posted in: Physics | Date: 15/10/2015

A rectangular coil carrying current develops magnetic field. So two magnetic fields exert force on one another which causes the coil to rotate, because magnetic field is caused by fixed magnet.

• ## Question: how to differentiate with respect to x in the given equation y = e ^ (ax + b) wh...

Posted in: Mathematics | Date: 15/10/2015

let ax+b= t, so question becomes y= e^t,​ and dt/dx= a, or dx= dt/a, thus y= e^t.dt, so after differentiation ( dy/dt).( dt/dx)= e^t.a, thus dy/dx = a.e^( ax + b). Final answer.

• ## Question: What are the characteristics of the image formed by a pinhole camera ?

Posted in: Physics | Date: 23/11/2015

The image is real, inverted and small in size.

• ## Question: Which instrument is used to measure altitudes in aircraft's ?

Posted in: Physics | Date: 23/11/2015

This instruement is calles Altimeter.

• ## Question: Define the term 'resistivity' of a material.

Posted in: Physics | Date: 23/11/2015

Resistivity of a material is Resistance offered by a cube of 1Meter side,made up of that material , when some potential difference P.D.is applied across its opposite faces.Its value changes only with temperature.

• ## Question: From which process can we recover solute from a true solution of common salt?

Posted in: Physics | Date: 23/11/2015

True solution of Common Salt means salt dissolved in water. We can recover it either by Evaporation or by Boiling.

• ## Question: what is the Law of radioactive decay?

Posted in: Physics | Date: 23/11/2015

Law of Radioactive Decay is called Half Life Time of a Radioactive material. It is the time required for decay of half of the material present at any instant.All radioactive materials decay naturally on their own, emitting radiations.

• ## Question: When is dot product and cross product zero?

Posted in: Physics | Date: 08/02/2016

When one of the vectors is Zero

• ## Question: the base of prism is a regular hexagon. find the volume of the prism if every ed...

Posted in: Mathematics | Date: 16/02/2016

Volume of a prism is Area of BasexHeight. So area of a hexagon is 6xarea of one equilateral triangle of given side. If each side is 1m.then volume of this prism would be 6x(3)*(1/2)/4= 6x1.732/4 = 1.5x1.732=2.598m^2.

• ## Question: Kamal was 4 times as old as his son 8 years ago. After ...

Posted in: Mathematics | Date: 07/12/2017

This question with this statement is not correct. Instead of every 88&44, correct figures should be 8&4. Then Kamal age is 40yrs and his son's age is 16 yrs.

• ## Question: The ratio of the age of a man and his wife is 4:3. At the time of marriage ...

Posted in: Mathematics | Date: 07/12/2017

Question statement is wrong, instead of 44yrs, correct option should be 4yrs, then they got married 12 yrs ago.

• ## Question: Six years ago, the ratio of the ages of Vimal and Saroj was 6:5. Four years...

Posted in: Mathematics | Date: 07/12/2017

(V-6)/(S-6)=6/5, (V+4)/S+4)=11/10, solving both equations by cross-multiplying , we get S=16&V=18.

• ## Question: Kiran is younger than Bineesh by 7 years and their ages are in the res...

Posted in: Mathematics | Date: 07/12/2017

K+77=B and K/B=7/9, solving without difficulty, Bineesh's age is 7x77/2. And thus Kiran's age is (7x7x77)/(2x9), some mistake in statement and answers are all absurd fractions.

• ## Question: The sum of the present ages of a son and his father is 60 years. Six years ...

Posted in: Mathematics | Date: 07/12/2017

In lot of questions posted have absurd statements, giving fractional answers. Present age of sin is 15 yrs and hence after 6 yrs, son will be 21 yrs of age.

• ## Question: A father said to his son, "I was as old as you are at the present at the ti...

Posted in: Mathematics | Date: 07/12/2017

Son's present age is 19 yes and five years ago, he was 14 yrs old.

• ## Question: A is two years older than B who is twice as old as C. The total of the ages of A...

Posted in: Mathematics | Date: 07/12/2017

A=B+2, B=2C, ~ C=B/2, and A+B+C=27, put values of A&C in this equation, 5B/2=25, which gives us B=10.

• ## Question: The sum of ages of 5 children born at the intervals of 3 years each is...

Posted in: Mathematics | Date: 07/12/2017

If age of the youngest is'x' yrs, others would be x+3, x+6, x+9, and x+12 yrs old. Add ages of all five,we get 5x+30=50, thus 5x=20, so x=4, others ages are 7,10,13,16.

• ## Question: Present ages of Kiran and Syam are in the ratio of 5:4 respectively. Three ...

Posted in: Mathematics | Date: 07/12/2017

Using symbols, we get K/S=5/4, and (K+3)/(S+3)=11/9, putting K=5S/4 in second equation, (5S+12)/4(S+3)=11/9, solving we get S= 24 and K=30 .

• ## Question: The ages of two persons differ by 16 years. 6 years ago, the elde...

Posted in: Mathematics | Date: 07/12/2017

Let present age of elder is 'x' yrs and present age of younger is 'x' yrs. So x=y+16 and x-66=33(y+16-66), putting value of x in second equation we get y+16-66=33(y-50), or y-50=33y-1650, or 33y-y=1650-50, or 32y=1600, or y=50yrs. So x=y+16=50+16=66, that is elder one is 66yrs of age presently and the younger wouldn't have born 66yrs ago. What an absurd question.

• ## Question: Which of the following correctly represents the relation among charge (Q) potent...

Posted in: Physics | Date: 25/07/2019

Work done to move a charge Q through a potential difference V. V=W/Q is the correct answer.

• ## Question: The ratio of number of men and women in a committee is 5:6. If the percentage in...

Posted in: Mathematics | Date: 25/07/2019

Let the original number of men and women are 5x and 6x. Men increase by 20%, thus new number of me are (5x)(1.2)=6x. Women increase by 10%, thus new number of women are (6x)(1.1)=6.6. Therefore new ratio is 6/6.6 =10/11 is the correct answer.

• ## Question: Factorise :15pq+15+9q+25p

Posted in: Mathematics | Date: 26/07/2019

15pq+15+9q+25p, rearranging, 15pq+25p+9q+15 = 5p(3q+5)+3(3q+5)=(5p+3)(3q+5)

• ## Question: What is the weight of the body?

Posted in: Physics | Date: 26/07/2019

Weight of a body is the force by which it is attracted towards another object. It is the product of the mass of the body and acceleration due to the object.

• ## Question: How to take direction of tension on string?

Posted in: Physics | Date: 26/07/2019

Direction of tension on a string is in the direction opposite to the direction of the force acting on the string and is in the same line of the force.

• ## Question: Power of the lens is - 2D. What are its focal length and its nature of lens?

Posted in: Physics | Date: 28/07/2019

Power of a lens is -2D, negative sign indicates it is a Concave lens. Focal length (in meters)=1/power of the lens, thus focal length=1/2=0.5m=50cm.

• ## Question: Define the terms periodic motion .Give two example of periodic motions that can...

Posted in: Computer Science,Physics | Date: 28/07/2019

It's a motion which repeats after every fixed period of time. Two examples are ' Pendulum' and ' Tuning Fork'. Both of these can be used to measure time.

• ## Question: What is the first principle of focus?

Posted in: Physics | Date: 28/07/2019

First principle of Focus. Focus is a point on principal axis of a spherical mirror or lens, on which a beam of light incident from infinity, called Parallel beam of light will converge or appears to originate, as is the case.

Posted in: Mathematics | Date: 30/07/2019

Let the unknown number is x, thus (x)(x/4)=x+2x, that is (x*2)/4=3x, that is x*2=12x, that is (x*2)-12x=0, that is x(x-12)=0, so, either x=0 or x-12=0, which gives that correct answer is x-12=0, that is x=12, is the correct answer.

• ## Question: Kiran is younger than Bineesh by 7 years and their ages are in the res...

Posted in: Mathematics | Date: 30/07/2019

K+7=B, and K/B=7/9, thus K/(K+7)=7/9, cross multiplying, we get 9K=7(K+7), simplifying, 2K=49, or K=49/2, which gives a fractional answer.

• ## Question: The product of the two prime numbers is 493. What will the L.C.M of these two nu...

Posted in: Mathematics | Date: 13/08/2019

Using property, LCMxHCF=First number x Second number, HCF of two prime numbers is 1, thus LCM= Product of two numbers. Therefore LCM = 493.

• ## Question: Why does diamond sparkle? Please provide the answer for 2 marks.

Posted in: Physics | Date: 13/08/2019

When a ray of light travels from denser medium to rarer medium, it bends away from the normal. For a particular angle if incidence, angle of refraction becomes 90°, this angle of incidence is called Critical angle. Next if angle of incidence is less than critical angle for that pair of media, ray of light enters back into the incident medium, this phenomenon is called Total Internal Reflection. Diamond has minimum critical angle. Its faces are so polished that any ray of light incident in to it, goes on having Total Internal Reflection multiple times, thus giving the sparkling effect of the diamond.

• ## Question: A person gave 20% and 30% of his income to his younger son and elder son respect...

Posted in: Mathematics | Date: 13/08/2019

Let initial income be 100 units. Out of this, 20% & 30% are given to two sons. So remaining income is 50 units. Then 10% of the remaining is given to a beggar, so now leftover income is 45 units. Thus 45 units income is equivalent to 10080, using Unitary method, total income would be (10080x100)/45= 1120x20= 22400.

• ## Question: Find the 3rd derivative for f(x) =-e^-(a+x)

Posted in: Mathematics | Date: 13/08/2019

First find first derivative of f(x) using d/dx(e^g(x))= e^g(x). d/dx(g(x)), thus d/dx{-e^-(a+x)} = -e^-(a+x).d/dx-(a+x)= -e^-(a+x){-(0+1)}= -e^-(a+x)(-1)= e^-(a+x). Thus f'(x) = e^-(a+x). Similarly second derivative will be -e^-(a+x), and third derivative will be e^-(a+x).

• ## Question: A charge of 6 coulomb flows through a bulb continuesly till 2 min 30 sec, calcul...

Posted in: Physics | Date: 13/08/2019

1 amp current flows through a conductor if one coulomb charge flows through it in one second. I = Q/t, thus, taking time in seconds, 2 minutes and 30 second= 150 seconds. Thus 6C/150 sec. = .04 amps current.

• ## Question: Why does diamond sparkle? Please provide the answer for 2 marks.

Posted in: Physics | Date: 13/08/2019

An incident ray of light travelling from an optically denser medium to an optically rare medium bends away from the normal. As angle of incidence increases, at one stage, angle of refraction becomes a right angle. This angle if incidence is called Critical angle for that pair of media. At incidence angle more than critical angle, the ray of light gets reflected back into the incident medium, the phenomenon is called Total Internal Reflection. For diamond, critical angle is minimum. Any ray of light entering diamond gets Total Internal Reflection multiple times, which is helped by the cut of the faces of the diamond. This multiple Internal Reflections give sparkling effect to diamond.

• ## Question: Name two submultiple of the unit kilogram

Posted in: Physics | Date: 17/08/2019

Submultiples of Kilogram are:: Hectogram, Decagram, Gram, decigram, centigram, milligram.

• ## Question: Parichit make a cuboid of plasticine of side 5 cm. ,2 cm. , 3 cm . , How many su...

Posted in: Mathematics | Date: 20/08/2019

Volume of plasticine cuboid is 5x2x3=30 cc. For a cube to be made using many such cuboids, side of the cube should be LCM of the sides of the cuboid, which is again 30. So side of the cube should be 30 cm. Thus volume of the required cube would be 30x30x30=27000cc. Therefore number of cuboids required would be volume of the cube÷volume of each cuboid, i.e. 27000÷30=900, therefore at least 900 cuboids would be required to make a cube.

• ## Question: The number of proper subsets of the set {1, 2, 3} is

Posted in: Mathematics | Date: 21/08/2019

In general, number of subsets of a set having 'n' elements is 2^n. Out of these, null set and the set itself are not proper subsets. Thus number of subsets of such a set is (2^n)-2, thus number of proper subsets of the given set are (2^3)-2= 8-2=6. So choice C is correct answer.

• ## Question: What is the speciality of soft iron?

Posted in: Physics | Date: 21/08/2019

Soft iron has low carbon content. It can be easily magnetized and demagnetized.

• ## Question: Define 1N force

Posted in: Physics | Date: 03/09/2019

1N force is said to be applied if an acceleration of 1m/s² is produced in the direction of the applied force in a body of mass 1kg.

• ## Question: 23+x = 345, find the value of x.

Posted in: Mathematics | Date: 11/10/2019

23+X=345, subtract 23 from both sides of the equality i.e. 23+X-23=345-23 gives X =322.

• ## Question: The force of gravitation between two bodies do not depend on.....

Posted in: Physics | Date: 29/10/2019

Formula for Gravitational force between two objects depends on Gravitational constant, product of the masses of the two objects and distance between centres of the two objects. So it's independent of all other properties of the two objects.

• ## Question: A: B: C is in the ratio of 3:2:5. How much money will C get out of Rs 1260?

Posted in: Mathematics | Date: 29/10/2019

A:B:C is 3:2:5, let's take them to be 3x, 2x and 5x, adding them we get 10x, total amount to be divided is Rs 1260, thus, amount of C will be (5x÷10x) 1260 = Rs 630.

• ## Question: formula for finding area of octagon

Posted in: Mathematics | Date: 29/10/2019

I've calculated area of an octagon using a new concept. Please find answer in the picture.