Solution: A function, f(x) is even if f(x) = f(-x). If f(x) = -f(x) then it is called an odd function. f(x) = cos x is an even function. f(x)... View Article
A sinusoidal voltage v = 200 sin 314 tr is applied to a resistor of 10 ohms. Calculate (i) r.m.s. value of voltage (ii) r.m.s. value of current... View Article
A man is crossing a river flowing with a velocity of 5 m/s. He reaches a point directly across the distance is 60 m in 5 seconds. His velocity in... View Article
A body of mass m1 exerts a force on another body of mass m2. If the magnitude of the acceleration of m2 is a2, then the magnitude of the... View Article
If L, R, C and V respectively, represent inductance, resistance, capacitance and potential difference, then the dimensions of L/RCV are the same... View Article
Find the percentage change in acceleration due to gravity at a height of 32 km from the surface of the earth. (a) 3% (b) 5% (c) 8% (d) 1%... View Article
A radioactive sample has an initial activity of 28 DPM 30 minutes later its activity of 14 DPM. How many atoms of nuclide were present initially?... View Article
While doing ohm’s law experiment a student observed that the pointer of the voltmeter coincides with the 15th division. If the least count of the... View Article
Assertion: If the current is flowing through a machine iron eddy currents are produced. Reason: The change in magnetic flux through an area... View Article
The position of a particle moving in a straight line (x-axis) is given by x = 4t2 – 3t5. The velocity of the particle at t = 2 seconds is (x is... View Article
A particle is thrown with a velocity of 20 m/s vertically upwards. The distance travelled by the particle in the first second of its descent is... View Article
The unit of electric current “ampere” is the amount of current that is flowing through each of two parallel long wires 1 m apart will give rise... View Article
The time period of oscillation of light springs system shown in the figure will be (mass of the block is 2 kg and spring constant of each spring... View Article
A person wants to resolve two thin poles standing near each other from a distance of 2 km. The distance between the pillars must be approximately... View Article
If a cycle wheel of radius 0.5 m completes one revolution in 1 s, then the acceleration of a point on the circumference of the wheel will be (a)... View Article
A particle is thrown with an initial speed of 10 ms^–1 at an angle of 30° with the horizontal, under gravity at t = 0 s. At = 0.5 s, the speed of... View Article
A short bar magnet has a magnetic moment of 0. 65 JT^-1, then the magnitude and direction of the magnetic field produced by the magnet at a... View Article
The coordinates of a moving particle are x = at^2 and y = bt^2, where a and b are constants. The velocity of a particle at any instant is (a)... View Article
