Physics · NDA previous year questions

Which one among the following denotes the smallest temperature?

1. A.1° on the Celsius scale
2. B.1° on the Kelvin scale
3. C.1° on the Fahrenheit scale
4. D.1° on the Reaumur scale

A particle oscillates in one dimension about the equilibrium position subject to a force $F_x(x)$ that has an associated potential energy $U(x)$. If $k$ is the force constant, which one of the following relations is true?

1. A.$F_x(x)=-k{x}^2$
2. B.$F_x(x)=-kx$
3. C.$U(x)=\frac{1}{2}kx$
4. D.$U(x)=\frac{1}{2}{k}^{2}x$

When a body moves with simple harmonic motion, then the phase difference between the velocity and the acceleration is

1. A.$0^{\circ }$
2. B.$90^{\circ }$
3. C.$180^{\circ }$
4. D.$270^{\circ }$

A body is thrown vertically upwards and then falls back on the ground. Its potential energy is maximum

1. A.on the ground
2. B.at the maximum height
3. C.during the return journey
4. D.both on the ground and at the maximum height

Which one of the following pairs does not have the same dimension?

1. A.Potential energy and kinetic energy
2. B.Density and specific gravity
3. C.Focal length and height
4. D.Gravitational force and frictional force

Which one of the following graphs represents uniform motion?

1. A.Option A
2. B.Option B
3. C.Option C
4. D.Option D

How many sixty watt (60 W) bulbs may be safely used in a 240-V supply with 4-ampere fuse?

1. A.4
2. B.8
3. C.12
4. D.16

For a simple pendulum in simple harmonic motion, which of the following statements is/are correct? 1. The kinetic energy is maximum at the mean position. 2. The potential energy is maximum at the mean position. 3. Acceleration is maximum at the mean position. Select the correct answer using the code given below: Code:

1. A.1 only
2. B.2 only
3. C.1 and 3
4. D.2 and 3

The best and the poorest conductors of heat are respectively

1. A.silver (Ag) and lead (Pb)
2. B.copper (Cu) and aluminium (Al)
3. C.silver (Ag) and gold (Au)
4. D.copper (Cu) and gold (Au)

Consider the following statements with respect to the Radar Imaging Satellite (RISAT-2) : 1. This is the first Indian satellite with microwave imaging configuration on board. 2. The satellite will boost India's defence capabilities. 3. It can take images of the earth day and night, even under rainy and cloudy conditions. Which of the statements given above is/are correct?

1. A.1 only
2. B.2 and 3 only
3. C.1, 2 and 3
4. D.1 and 2 only

Which of the following crops would be preferred for sowing in order to enrich the soil with nitrogen?

1. A.Wheat
2. B.Mustard
3. C.Sunflower
4. D.Gram

The weight of a body is $9.8\mathrm{N}$ at the place where $g=9.8\mathrm{m}{\mathrm{s}}^{-2}$. Its mass is

1. A.zero
2. B.$9.8\mathrm{kg}$
3. C.$10\mathrm{kg}$
4. D.$1\mathrm{kg}$

If a light body and a heavy body have equal momentum, then

1. A.the lighter body has greater kinetic energy than the heavier body
2. B.the lighter body has lesser kinetic energy than the heavier body
3. C.the kinetic energy of the lighter body is equal to the kinetic energy of the heavier body
4. D.the kinetic energy of both the bodies are independent of momentum

An object of mass $5\mathrm{kg}$ is attached to the end of a rope. If the rope is pulled upward with an acceleration of $0.30\mathrm{m}{\mathrm{s}}^{-2}$, what is the tension in the rope?

1. A.$30.5\mathrm{N}$
2. B.$40.5\mathrm{N}$
3. C.$50.5\mathrm{N}$
4. D.$60.5\mathrm{N}$

When a mass $m$ is hung on a spring, the spring stretched by $6\mathrm{cm}$. If the loaded spring is pulled downward a little and released, then the period of vibration of the system will be

1. A.$0.27\mathrm{s}$
2. B.$0.35\mathrm{s}$
3. C.$0.49\mathrm{s}$
4. D.$0.64\mathrm{s}$

Consider two hollow glass spheres, one containing water and the other containing mercury. Each liquid fills about one-tenth of the volume of the sphere. In zero gravity environment

1. A.water and mercury float freely inside the sphere
2. B.water forms a layer on the glass, while mercury floats
3. C.mercury forms a layer on the glass, while water floats
4. D.water and mercury both form a layer on the glass

An object is kept $5\mathrm{cm}$ in front of a concave mirror of focal length $15\mathrm{cm}$. What will be the nature of the image?

1. A.Virtual, not magnified
2. B.Virtual, magnified
3. C.Real, not magnified
4. D.Real, magnified

The density of cast iron having specific gravity $7.20$ is

1. A.$7.20kg/{\mathrm{m}}^3$
2. B.$720kg/{\mathrm{m}}^3$
3. C.$72kg/{\mathrm{m}}^3$
4. D.$7200kg/{\mathrm{m}}^3$

What is the telescope designed to search for earth-size planets in the nearby region of our galaxy, termed as?

1. A.Hubble telescope
2. B.Kepler telescope
3. C.Copernicus telescope
4. D.Newton telescope

1. A.Option A
2. B.Option B
3. C.Option C
4. D.Option D

Net charge in a current-carrying conductor is

1. A.always positive
2. B.always negative
3. C.zero
4. D.either positive or negative

The audible frequency range of a human ear is

1. A.20 hertz to 200 hertz
2. B.2 hertz to 20 hertz
3. C.200 hertz to 2000 hertz
4. D.20 hertz to 20000 hertz

Which one of the following is the resistance that must be placed parallel with $12\Omega$ resistance to obtain a combined resistance of $4\Omega$?

1. A.$2\Omega$
2. B.$4\Omega$
3. C.$6\Omega$
4. D.$8\Omega$

An electric iron of resistance $20\Omega$ takes a current of $5\mathrm{A}$. The heat developed in joules in $30\mathrm{s}$ is

1. A.$5\mathrm{kJ}$
2. B.$10\mathrm{kJ}$
3. C.$15\mathrm{kJ}$
4. D.$20\mathrm{kJ}$

A house, served by a $220\mathrm{V}$ supply line, is protected by a $9\mathrm{A}$ fuse. What is the maximum number of $60$ watt bulbs that can be turned on in parallel?

1. A.11
2. B.22
3. C.33
4. D.44