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The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. The maximum momentum of the block after collision is?

a) Zero b) ML2/K c) √MKL d) KL2/2M Answer: c) √MKL Solution: (1/2)mv2 = (1/2)kL2 v = L√(K/m) Maximum momentum, mv = mL√(K/m) = L√KM... View Article

A body is acted upon by force which is inversely proportional to the distance covered. The work done will be proportional to:

a) s b) s2 c) √s d) none of the above Answer: d) none of the above Solution: F ∝ (1/s) ⇒ F = k/s... View Article

A bullet of mass 20g has an initial speed of 1ms⁻¹, just before it starts penetrating a mud wall of thickness 20 cm. if the wall offers a mean resistance of 2.5×10⁻² N, the speed of the bullet after emerging from the other side of the wall is close to:

a) 0.4 m/s b) 0.1 m/s c) 0.3 m/s d) 0.7 m/s Answer: d) 0.7 m/s Solution: mass, m = 20 g Initial speed, u = 1m/s The... View Article

A small body of mass m falls to the earth from an infinite distance away. What will be its velocity on reaching the earth? (Radius of the earth = R, acceleration due to gravity on the surface of the earth is g):

a) gR b)2gR c) √gR d) √2gR Answer: d) √2gR Solution: change in potential energy = change in kinetic energy... View Article

Name the different types of polyhedral solids.

Below are the names of different types of polyhedral solids: Tetrahedron (or pyramid) Cube Octahedron Dodecahedron Icosahedron Cuboid Rectangular... View Article

What is a ratio?

Ration means the quantitative relation between two quantities representing the number of times one quantity contains or is contained within the... View Article

What is a perfect square number among 156, 289, 300, and 420?

Given numbers are: 156, 289, 300, 420We know that the list of perfect square numbers between 100 and 500 is:121, 144, 169, 196, 225, 256, 289,... View Article

How do you determine a perfect square?

We can determine whether the given number is a perfect square by finding its square root. We know that the square root value of a perfect square... View Article

Find the square root of 6400.

The value of the square root of 6400 is 80. This can be calculated by the division method as follows. Therefore, √6400 = 80.... View Article

What is mean median mode?

Mean, median and mode are the measures of central tendency in statistics. These terms can be defined as follows:Mean: Mean is the average of the... View Article

How do you write 6 in binary?

To convert the decimal to a binary number, divide the given number by 2 till we get the quotient 0.6/2 = 3; remainder =03/2 = 1; remainder = 11/2... View Article

Find the coordinates of the points at which line joining (2,3) and (3,2) meets the x-axis and y-axis respectively

Given coordinates are (2, 3) and (3, 2) As, we know the coordinates of any point on the x-axis is (x, 0) and the coordinates of any point on the... View Article

The equation of the straight line passing through (3,−4) and parallel to x− axis is

We know that the equation of the x-axis is y = 0. Given that, the equation of the straight line is parallel to the x-axis means, y = a, Where... View Article

The density of a cube is measured by measuring its mass and length of its side. If the maximum errors in the measurement of its mass and length are 3% and 2% respectively, the maximum error in the measurement of density would be:

We know that, Density = Mass / volume = m/l3 (Where, l3 is the volume of cube). [(Δρ/ρ)×100]max = ((Δm/m)×100)+... View Article

A1x + B1y +C1 = 0, A2x + B2y+ C2 = 0 are a system of two simultaneous linear equations, if (a1/a2) = (b1/b2) = (c1/c2), then the system has ________ solution.

Here, A1x + B1y +C1 = 0, A2x + B2y+ C2 = 0 are the system of two simultaneous linear equations. The system of equations is consistent and... View Article