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Image in a pin hole camera is real , inverted and smaller in size.
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.
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.
The image is real, inverted and small in size.
This instruement is calles Altimeter.
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.
True solution of Common Salt means salt dissolved in water. We can recover it either by Evaporation or by Boiling.
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.
When one of the vectors is Zero
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.
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 statement is wrong, instead of 44yrs, correct option should be 4yrs, then they got married 12 yrs ago.
(V-6)/(S-6)=6/5, (V+4)/S+4)=11/10, solving both equations by cross-multiplying , we get S=16&V=18.
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.
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.
Son's present age is 19 yes and five years ago, he was 14 yrs old.
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.
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.
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 .
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.
Work done to move a charge Q through a potential difference V. V=W/Q is the correct answer.
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.
15pq+15+9q+25p, rearranging, 15pq+25p+9q+15 = 5p(3q+5)+3(3q+5)=(5p+3)(3q+5)
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.
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.
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.
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.
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.
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.
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.
Using property, LCMxHCF=First number x Second number, HCF of two prime numbers is 1, thus LCM= Product of two numbers. Therefore LCM = 493.
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.
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.
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).
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.
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.
Submultiples of Kilogram are:: Hectogram, Decagram, Gram, decigram, centigram, milligram.
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.
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.
Soft iron has low carbon content. It can be easily magnetized and demagnetized.
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.
23+X=345, subtract 23 from both sides of the equality i.e. 23+X-23=345-23 gives X =322.
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.
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.
I've calculated area of an octagon using a new concept. Please find answer in the picture.
Average age of 'n' persons = Total age of 'n' persons/ n. Thus Total age of 10 persons = Average age x 10 = 60x10=600 yrs. Also given, Total age of 8 persons out of these = 488, Total age of other 2 persons = 600-488=112, Thus average age of rest of 2 persons=112/2=56 yrs. Required answer.
Let's assume CP of the article is Rs 100, labelled price is at 40% profit, thus labelled price is Rs 140. Shopkeeper gives a discount of 20%on labelled price, thus discount = (140×20)/100=28. Thus sale price is Rs 140-28=112. So actual profit=112-100=12. Actual profit%=(12×100)/100=12%. Required answer.
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