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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 x-axis and its... 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 We have to... 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 mass (M) without accelerating it, the... 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.... 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 Let the required ratio be m:nCoordinates of end points are (-6,10) and (3,-8).Coordinates of... 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 A solenoid is a type of electromagnet whose intention is to produce a controlled magnetic field. If the purpose... 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 compound... 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 As per the given data,the particle is acted upon by a force of constant magnitude... 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 a way of selecting... 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 the product of the mass 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 An elastic collision is a collision in which there is no net loss in kinetic energy in the system as a result of the... 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 is the region around a magnetic material or a moving electric charge within which... 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 Circumference of the circle or... 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 If the product of 2 numbers is 2-digit... View Article

_________ is the additive identity of rational numbers.

0is the additive identity of rational numbers. Additive identity of numbers, as the name suggests, is a property of numbers that are... 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 determine the actual cost to him of an... View Article

If a,b,c are in G.P then loga x, logb x, logc x are in

If in a sequence of terms, each succeeding term is generated by multiplying each preceding term with a constant value, then the sequence is... View Article

Student obtains a blurred image of a distant object on a screen using a convex lens. To obtain a distinct image on the screen he should move the lens_______

Student obtains a blurred image of a distant object on a screen using a convex lens. To obtain a distinct image on the screen he should move the... View Article

To determine the approximate value of the focal length of a given concave mirror, you focus the image of a distant object formed by the mirror on a screen. The image obtained on the screen, as compared to the object is always

To determine the approximate value of the focal length of a given concave mirror, you focus the image of a distant object formed by the mirror on... View Article

Prove that Sum of any two sides of a triangle is greater than the third side.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle,... View Article

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