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A line intersects the y-axis and x-axis at points P and Q respectively. If the mid point of PQ is (2, -5), then find the coordinates of P and Q.

Answer: Let the co-ordiantes of P be (x1, ) and Q be (x2, y2) Midpoint of PQ = (2, -5) By midpoint formula, x =( x1 + x2)/2 and y = (y1+... View Article

The pressure exerted by a perfect gas is equal to ____________(1) 2/3 of mean kinetic energy. (2) half of mean kinetic energy per unit volume. (3) mean kinetic energy per unit volume (4) 2/3 of mean kinetic energy per unit volume.

Answer: (4) 2/3 of mean kinetic energy per unit volume. As per the kinetic theory of gases, the P exerted by a gas of density ρ and r.m.s... View Article

Let O(0, 0), P(3,4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR,PQR, OQR are of equal area. The coordinates of R are (1) (4/3,3) (2) (3,2/3) (3) (3,4/3) (4) (4/3,2/3)

Answer: (3) (3,4/3) Let us consider the coordinate of R be (x, y) Given: Area of triangle OPR, PQR, and OQR are same . 3y - 4x = 24 - 4x -... View Article

A rod of length (L) is placed along the x-axis between x = 0 and x = L. The linear density (mass/length) ρ of the rod changes with the distance x from the origin as ρ = a + bx. (1) Find the SI units of a and b. (2) Find the mass of the rod in terms of a, b and L.

Answer: Given ρ = a + bx ρ = a + bx Unit of linear density (ρ) = mass/length SI unit of a = mass/length SI unit of b =... View Article

A ball of mass m approaches a wall of mass M (>> m) with the speed 4 m/s along normal to the wall. The speed of wall is 1m/s towards the ball . The speed of the ball after an elastic collision with the wall is (1) 5 m/s away from the wall (2) 3 m/s away from the wall (3) 9 m/s away from the wall (4) 6 m/s away from the wall

Answer: (4) 6 m/s away from the wall Mass of wall is very large compared to the mass of the ball, hence after collision, velocity of the wall... View Article

How find interest rate?

Answer: The interest rate formula is used to calculate the amount of money that must be repaid on a loan as well as the interest earned on fixed... View Article

The osmotic pressure of blood is 7.65 atm. at 310 K. An aqueous solution of Glucose that will be isotonic with blood is what wt/vol?

Answer: 54.162g/liter Osmotic pressure can be defined as the minimum pressure that must be applied to a solution to halt the flow of solvent... View Article

According to Bohr orbital theory, the angular momentum of electron in 5th orbit is (1) 25h/π (2) 1h/π (3) 10h/π (4) 2.5h/π

Answer: 4) 2.5h/π Bohr theory Applicable to modified the atomic structure model by explaining that electrons move in fixed orbitals and not... View Article

A watch gains 5 seconds in 3 minutes was set right at 7 A.M In the afternoon of the same day, when the watch shows quarter past 4 o’clock, the true time is ______________.

Answer: 4 P.M Time from 7 A.M to 4.15 P.M = 9 hours 15 minutes = 37/4 3 minutes 5 seconds of the clock = 3 minutes of the correct clock 37/720... View Article

In faintly or neutral alkaline solution, 8 moles of permaganate anion quantitative oxidize thiosulphate anions to produce X moles of a sulphur containing product. The magnitude of X is______

Answer: 6 moles A solution of a soluble base with pH greater than 7 is called as an alkaline solution. Solutions having the value of pH equal to... View Article

If x + y = k is normal to y² = 12x, then k=? (1) 3 (2) 6 (3) 9 (4) None of these

Answer: (3) 9 The normal to a parabola is perpendicular to the tangent of the parabola. Also, it will pass through the point of intersection of... View Article

From the below figure which of the following is not the graph of a quadratic polynomial?

A B C D Answer: (D) A quadratic polynomial is a polynomial of degree two, i.e., the highest... View Article

If the earth were to suddenly contract to 1/n^th if its present radius without any change in its mass, the duration of the new day will be nearly (1) 24/n hr (2) 24nhr (3) 24/n²hr (4) 24n²hr

Answer: (3) 24/n2hr Let the Mass aof the earth = M Radius of the earth = R . Time period of rotation of earth (T) = 24h Angular... View Article

The freezer in a refrigerator is located at the top section so that ________. (1) The motor is not heated (2) The heat gained from the environment in high (3) The heat gained from the environment is low (4) The entire chamber of the refrigerator is cooled quickly due to convection

Answer: (4) The entire chamber of the refrigerator is cooled quickly due to convection Freezer is the source for the refrigerator's coldness.... View Article

Which of the following pair of ores cannot be converted into corresponding metals by pyrometallurgy? (1) Ag2S,ZnS (2) Cu2S,HgS (3) MnO2,SnO2 (4) None of this

Answer: (1) Ag2S,ZnS Pyrometallurgy is a branch of extractive metallurgy. It consists of the thermal treatment of minerals and metallurgical... View Article

A car weighing 100 kg is on a slope that makes an angle 30⁰with the horizontal. The component of car’s weight parallel to the slope is (g = 10ms⁻², g = 10ms⁻²) (1) 500 N (2) 1000 N (3) 15000 N (4) 20000 N

Answer: (1) 500 N Scalar and vector quantities are the two types of quantities. Scalar quantities (speed, time, temperature, and mass) are only... View Article

An organic compound undergoes first-order decomposition. The time taken for its decomposition to 1/8 and 1/10 of its initial concentration at t1/8and t1/10 respectively. What is the value of t1/8 /t1/10 × 10? (Consider log102=0.3) (1) 9 (2) 8 (3) 10 (4) 15

Answer:(1) 9 A first-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the... View Article

Two batteries of different e.m.fs and different internal resistances are connected as shown in the figure below. The voltage across AB in volts is (1) 4 (2) 5 (3) 6 (4) 7

Answer: (2) 5 The positive terminal connects the two cells, which have varying internal resistance. From the higher potential to the lower... View Article

How to find the Least Common Multiple(LCM)?

Answer: Least Common Multiple (LCM) is a way of finding the smallest common multiple between any two numbers or more. A common multiple is a... View Article

The correct value of the gas constant R is close to (1) 0.082litre−atmK (2) 0.082litre−atmK⁻¹mol⁻¹ (3) 0.082litre−atm⁻¹Kmol⁻¹

Answer: (2) (2) 0.082litre−atmK−1mol−1 In physics, the gas constant (R) is defined as the product of pressure and volume. It... View Article

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