Find the value of cos 360 degrees
Let us evaluate the cos 360 degrees value. As we know, cos 0° = 1 we can identify the value... View Article
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The HCF of 2472 and 1284 and a third number ‘n’ is 12. If their LCM is 23×32×5×103×107. Find the number ‘n’.
Answer: The Least Common Multiple (LCM) is a way of finding the smallest common multiple between any two numbers or... View Article
Flux;ϕ(in webers) in a closed circuit of resistance 10 ohm varies with time t (in seconds) according to the equation ϕ=6t2−5t+1. What is the magnitude of the induced current in 0.25 seconds
Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface. It provides the measurement... View Article
An object is approaching a thin convex lens of focal length 0.3m with a speed of 0.01m/s.The magnitude of the rate of change of position of image when the object is at a distance of 0.4m from the lens is
Convex mirror A convex mirror is a type of spherical mirror in which the reflecting surface is the bulged out... View Article
The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y=12−x2such that the rectangle lies inside the parabola, is:-
Given According to the given data Equation of Parabola is y = 12 – x2 A rectangle has its base on the... View Article
A machine gun fires bullets of 50 gm at the speed of 1000 m/sec. If an average force of 200 N is exerted on the gun, the maximum number of bullets fired per minutes is
Given As per the given data, the details of the bullet are m=0.05 Kg v=1000m/s F=200N t = 1 second Find out... View Article
A body weighs 72N on the surface of the earth. What will be the force of gravity acting on the body at a height equal to half the radius of the earth above the earth’s surface?
When a body of mass (m) is moved from infinity to a point inside the gravitational influence of a source... View Article
A beam of helium atoms moves with a velocity of 2×10 ^4. Find the wavelength of particles constituting with the beam.
Given Velocity of helium atoms= 2×104m/s Find out We have to determine the wavelength of particles constituting the beam. Solution From de... View Article
In what ratio does the point (- 4 , 6) divide the line segment joining the points a (- 6, 10) and b (3, – 8).
From the section formula \(\begin{array}{l}\large M (x,y) = \left ( \frac{mx_{2}+nx_{1}}{m+n} , \frac{my_{2}+ny_{1}}{m+n} \right )\end{array} \) Solution Let the required... View Article
A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved. the new value of the magnetic field is (a) B/2 (b) B (c) 2 B (d) 4 B
The correct answer is (c) 2 B Solution A solenoid is a type of electromagnet whose intention is to produce... View Article
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. The formula of... View Article
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place on a plane. It follows that: (a) Its velocity is constant (b) It moves in a straight line (c) Its kinetic energy is constant (d) Its acceleration is constant
The correct answer is (c) It’s kinetic energy is constant Solution As per the given data,the particle is acted upon... View Article
From among the 36 teachers in a school, one principal and one vice-principal are to be appointed. in how many ways can this be done?
Permutation relates to the act of arranging all the members of a set into some sequence or order. The combination is... View Article
What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end?
Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of... View Article
A particle of mass m strikes another particle of same mass of rest. Find the angle between the velocities of particle after the collision, if the collision is elastic.
The angle formed is zero Elastic collission An elastic collision is a collision in which there is no net loss... View Article
Magnetic field due to current carrying conductor depends on: (a) Current flowing through the conductor (b) Distance from the conductor (c) Length of the conductor (d) (a) and (b)
The correct answer is option (d) (a) and (b) Magnetic field Magnetic Field is the region around a magnetic material... View Article
The ratio of the circumference of a circle to the diameter of the circle is. (a) an integer (b) a rational number (c) an irrational number (is) a whole number
The ratio of the circumference of a circle to the diameter of the circle is. (c) an irrational number Solution... View Article
If the product of 2 numbers is 2-digit number, then both numbers are________
If the product of 2 numbers is 2-digit number, then both numbers are single digit numbers Solution If the product of... View Article
_________ is the additive identity of rational numbers.
0is the additive identity of rational numbers. Solution Additive identity of numbers, as the name suggests, is a property of numbers... View Article
A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 500?
Given As per the given data Profit = 25% MP = 500 Discount = 20% Find out We have to... View Article
