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The equation of a simple harmonic wave is given by [latex]y=5sinfrac{pi }{2}(100t-x)[/latex], where x and y are in metre and time is in second. The time period of the wave (m seconds) will be?

Solution: Given... View Article

A 6 μF capacitor is charged from 10 V to 20 V. Increase in energy will be?

Solution:... View Article

Four rods each of length I have been hinged to form a rhombus. Vertex A is fixed to a rigid support, vertex C is being moved along the X− axis with a constant velocity v as shown in the figure. The rate at which vertex B is approaching the x− axis at the momentum the rhombus is in the form of a square is

a) v b) v/2 c) v/4 d) 2v Solution: b) v/2... View Article

Acceleration-time graph of a body is as shown. The corresponding velocity-time graph of the same body is.

a) b) c) d) Solution: Correct option is Option c) Explanation: We can see that the acceleration is constant in the initial phase, and... View Article

A piezoelectric quartz crystal of thickness 0.005 m is vibrating in resonance conditions. Calculate the fundamental frequency f0 for quartz. (γ=8×10^10 Nm^−2 and ρ=2.65×10^3 kg m^−3)

a. 55 MHz b. 0.55 MHz c. 5.5 MHz d. 5.5 kHz Solution: b) 0.55 MHz Explanation:... View Article

A comb run through one’s dry hair attracts small bits of paper. This is due to?

a) Paper is good conductor b) Comb is a good conductor c) The comb possesses magnetic properties d) The atoms in the paper gets polarised by... View Article

The kinetic energy (in keV) of the alpha particle, when the nucleus at rest undergoes alpha decay, is

<strong>Solution:</strong> The KE(m KeV) of the alpha particle, when the nucleus at rest undergoes alpha decay = Q value... View Article

Explain the structure of the solar panel.

Photovoltaic cells consist of two or more layers of semiconductors along with one layer containing positive charge and the other negative charge... View Article

Two bodies of masses m₁ and m₂ fall from heights h₁ and h₂ respectively. The ratio of their velocities, when they hit the ground is a) h₂ b) √(h_¹/h₂) c) m₁h₁/m₂h₂ d) h₁²/h₂²

Answer: b) √(h1/h2) Solution: When a body is at rest at height h, it has only potential energy = mgh when the body hits the ground, all... View Article

A monkey of mass 20 kg rides on a 40 kg trolley moving at a constant speed of 8 m/s along a horizontal track. Frictional force can be neglected. If the monkey jumps vertically, with respect to the moving trolley, the catch the overhanging branch of a tree, the speed of the trolley after the monkey has jumped off is:-

a) 16 m/s b) 12 m/s c) 8 m/s d) 6 m/s Answer: Solution: By conservation of momentum Pinitial = Pfinal (m + M) Vi = MVf... View Article

In the situation given, all surfaces are frictionless. If F = Mg/2, the ratio of accelerations of blocks A and B is n/√5. Find the value of n. (Both the blocks have mass M)

Answer: 1 Solution: For block B, F - Mg = Ma - Mg/2 = Ma a = g/2(-j) in downward direction For block ,A F - N = Ma1 F - Ma1 = Ma1 Mg/2 =... View Article

Which one of the following represents simple harmonic motion?

a) Accelration = -k0x + k1x2 b) Acceleration = - k (x +a) c) Acceleration = k(x+a) d) Acceleration = kx Answer: b) Acceleration = -... View Article

In an experiment to determine the focal length of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance of x from the pole p. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with PA. When the student shifts his/her eye towards the left, the image appears to the right of the object pin. a) x < f b) f < x < 2f c) x = 2f d) x > 2f

The correct answer is b) f < x < 2f Following are the ways to obtain the focal length of the concave mirror: A concave mirror is... View Article

The escape velocity for the earth is v_e. The escape velocity for a planet whose radius is four times and density is nine times that of the earth, is:

a) 36 ve b) 12 ve c) 6 ve d) 20 ve Answer: b) 12 ve Solution: Let R be the radius of Earth and ρ is the density of Earth ve... View Article

The condition for obtaining secondary maxima in the diffraction pattern due to a single slit is (symbols have their usual meaning)

a) a sin θ = nλ b) a sin θ = (2n-1)λ/2 c) a sin θ = (2n-1)λ d) a... View Article

The minimum age required to contest for the post of Vice-President of India is ________. a) 40 years b) 30 years c) 20 years d) 35 years

Answer: The correct answer is option (d) - 35 years. The Vice-President of India is elected for a term of 5 years. The Vice President of... View Article

The minimum age required to contest for the post of President of India is ________. a) 21 years b) 35 years c) 30 years d) 24 years

Answer: The correct answer is option (b) - 35 years. The President is the highest formal authority in India. The President of India is... View Article

The Natural Vegetation of an area depends mainly on climate and hence there are distinctive areas of different types of vegetation. The governing factors in general are precipitation and temperature. Accordingly, Pine forests in India are found in _______ a) The Northern Plains b) The Himalayas c) The Coastal areas d) The Sunderbans

Answer: The correct answer is option (b) - Himalayas. The other factors influencing the growth of vegetation in an area are type of land,... View Article

Jadeite, found in Daojali Hading, may have been brought from China. State whether True or False. a) True b) False

Answer: The correct answer is option (a) - True. Jadeite is a stone. It may have come from China. It is found in Daojali Hading, a... View Article

Belgium has borders with ______ a) Germany, Spain, and Netherlands. b) Netherlands, Spain, and France. c) Spain, Germany, and France. d) Germany, France, and Netherlands.

Answer: The correct answer is option (d) - Germany, France, and Netherlands. Belgium is located in Western Europe. Belgium also shares... View Article

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