A particle is projected from the earth surface, at the topmost point of its path, the particle has an acceleration of magnitude
a) g/2 b) g c) 2g d) zero Answer: g Solution: At the topmost point, its acceleration will only be... View Article
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A particle of mass m is projected with a velocity [latex]6hat{i}+8hat{j}[/latex]. Then the magnitude of change in momentum when it just touches the ground will be
a) 0 b) 12 m c) 16 m d) 20 m Answer: c) 16 m Solution: Initial velocity \(\begin{array}{l}\vec{v_{i}}=6\hat{i}+8\hat{j}\end{array} \) Final velocity \(\begin{array}{l}\vec{v_{i}}=6\hat{i}-8\hat{j}\end{array}... View Article
The resultant of two forces has magnitude of 20N . if one of the forces is of magnitude 20√3 N and makes an angle of 300 with the resultant then, the other forces must be of magnitude.
a) 10√3 N b) 20 N c) 20√3 N d) 10 N Answer: b) 20 N Solution: Given, A = 20√3 N, B... View Article
Two different loops are concentric and lie in the same plane. The current in the outer loop is clockwise and increasing with time. The induced current in the inner loop then is
a) clockwise b) zero c) counter clockwise d) in a direction that depends on the ratio of the loop radii... View Article
A voltage of 10V and frequency 1000Hz is applied to a (1/π)μF capacitor in series with a resistor of 500 Ω. Find the power factor of the circuit and the average power dissipated.
a) 40.018 W b) 0.1 W c) 10.18 W d) 20.018 W Answer: b) 0.1 W Solution: Given, v = 10... View Article
A uniform rod is placed on two spinning wheels as shown in the figure. The axes of the wheels are separated by l = 20 cm, the coefficient of friction between the rod and the wheel is k = 0.18. Show that rod performs SHM and find the period of small oscillations.
Answer: 1.5s Solution: In the equilibrium position the C.M. of the rod lies betweent the two rotating wheels. Let us displace... View Article
A Carnot engine whose sink is at 300 K has an efficiency of 40%. By how much should the temperature of the source be increased so as to increase its efficiency by 50% of original efficiency?
(a) 380 K (b) 275 K (b) 215 K (d) 250 K Answer: (d) 250 K Solution: The efficiency of a... View Article
The two ends of a train moving with constant acceleration pass a certain point with velocities u and 3u. The velocity with which the middle point of the train passes the same point is
a) 2u b) (3/2) u c) √5u d) √10u Answer: c) √5u Solution: Initial velocity, u = u final velocity, v = 3u Displacement,... View Article
The distance travelled by a freely falling body is given by the equation, y = v0 t – (1/2)gt2. Using principles of dimensions, check the correctness of the equation.
Answer: Formula is dimensionally correct Solution: For checking dimensional correction, the principle of Homogeneity is used According to the principle... View Article
If an AC ammeter reads I A in an AC circuit, then the peak value of the current is
a) I/√2 b) I c) √2I d) 2I Answer: c) √2I Solution: Irms = I A I = Io Sin ωt = Io /√2 ⇒ I0... View Article
The applied potential difference in the circuit shown is V=10sin100t where V is in volt and t is in second. If the power factor of the circuit is 1/√2, then the value of capacitance C of the circuit nearly is:
a) 111 μF b) 333 μF c) 222 μF d) 444 μF Answer: a) 111 μF Solution: \(\begin{array}{l}cos\phi =\frac{X_{L}-X_{C}}{\sqrt{R^{2}+(X_{L}-X_{C})^{2}}}=\frac{100\times 0.1-\frac{1}{0.1C}}{\sqrt{20^{2}+(100\times 0.1-\frac{1}{0.1C})^{2}}}\end{array} \) \(\begin{array}{l}\frac{1}{\sqrt{2}} =\frac{10-\frac{10}{C}}{\sqrt{400+(10-\frac{10}{C})^{2}}}\end{array} \)... View Article
Rohan was playing with sand near a beach. When will he exert more pressure on the ground, while standing or while lying down on the sand?
Answer: Rohan will exert more pressure while standing . Solution: The pressure is the force per unit area Therefore, P =... View Article
What is the significance of the phrase ‘we the people of India’ in the Preamble?
Answer: ‘We, the people of India’ in the Preamble means ultimate sovereignty of the people of India. Sovereignty means not... View Article
Who played the leading role in the unification of Germany?
Answer: Otto Von Bismarck played a leading role in the unification of Germany. Otto von Bismarck was the architect of... View Article
Who is Sovereign in India? a) We, the People of India b) Council of Ministers c) President of India d) Prime Minister
Answer: The correct answer is option (a) – We, the people of India. Sovereign means one who exercises supreme authority... View Article
Why is the Indian Constitution called a ‘ living document’?
Answer: As the Indian Constitution keeps responding to the emerging circumstances and situations from time to time, almost like a... View Article
What are political institutions?
Answer: The bodies which make up the whole mechanisms of modern Governments such as heads of state, legislatures and parties... View Article
Why did the Institutional Revolutionary Party (PRI) party in Mexico never lose any election till 2000?
Answer: To elect its President, Mexico held elections every six years since its independence in 1930. Mexico never came under... View Article
What were the duties of jagirdars in the Mughal empire?
Answer: The duty of a Jagirdar was to collect taxes which paid his salary and the rest of the amount... View Article
What are the various ways women apply to fight discrimination and seek justice?
Answer: Women have taken various measures to improve their quality of life through education, acting against violence faced by them,... View Article
