1. The sciences which deal with _________are called physical sciences.
a) living things
b) non-living things.
c) both a and b
d) none of these

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2. Einstein was awarded Nobel Prize in Physics for
a) Theory of relativity
b) Law f gravitation
c) Uncertainty Principle
d) Photo electricity

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1. The best method to reduce random error is
a) To change the instrument used for measurement
b) To take help of experienced observer
c) To repeat the experiment many times and to take the average results
d) None of the above

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2. Maximum __________error in product or______________of two quantities is____________of__________errors in__________.
a) fractional; division; sum; fractional; individual quantities
b) individual quantities; fractional; division; sum fractional
c) both a and b
d) none of these

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1. When the speed of a car is u, the minimum distance over which it can be stopped is s. If the speed becomes nu, what will be the minimum distance over which it can be stopped during the same time?
a) s/n
b) ns
c) s/n²
d) n²s

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2. A police party is chasing a dacoit in a jeep which is moving at a constant speed v. The dacoit is on a motorcycle . When he is at a distance x from the jeep, he accelerates from rest at a constant rate? Which of the following relations is true if the police is able to catch the dacoit?
a) v² ≤ αx
b) v² ≤ 2αx
c) v² ≥ 2αx
d) v² ≥ αx

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1. A man swims from a point A on one bank of a raver of width 100m. When he swims perpendicular to the water current, he reaches the other bank 50m downstream. The angle to the bank at which he should swim, to reach the directly opposite point B on the other bank is

a) 10⁰ upstream
b) 20⁰ upstream
c) 30⁰ upstream
d) 60⁰ upstream

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2. A ball is projected from a point A with some velocity at an angle 30⁰ with the horizontal as shown in Fig. . Consider a target at point B. The ball will hit the target if it is thrown with a velocity v₀ equal to

a) 5 ms^-1
b) 5 ms^-1
c) 7 ms^-1
d) None of these

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1. In moving a body of mass m up and down a rough incline of inclination θ work done is (S is length of the plank, and μ is coefficient of friction).
a) mg sin θ x S
b) mg cos θ = S
c) 2 μ mg cos θ x S
d) Zero

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2. A car of mass m starts from rest and acquires a velocity along east v = $v\vec{i}\left (v > 0 \right )$ in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is
a) mv/2 eastward and is exerted by the car engine.
b) mv/2 eastward and is due to the friction on the tyres exerted by the road.
c) more than mv/2 eastward exerted due to the engine and overcome the friction of the road.
d) mv/2 exerted by the engine

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1. A weightlifter lifts a weight off the ground and holds it up, then
a) Work is done in lifting as well as holding the weight
b) No work is done in both lifting and holding the weight
c) Work is done in lifting the weight but no work is required to be done in holding it up
d) No work is done in lifting the weight but work is required to be done in holding it up

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2. When the K.E. of a body is increased by 300%, the momentum of the body is increased by
a) 20%
b) 50%
c) 100%
d) 200%

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1. A flywheel of moment of interia 3 x 10² kg m² is rotating with uniform angular speed of 4.6 rad s^-1. If a torque of 6.9 x 10² Nm retards the wheel, then the time in which the wheel comes to rest is
a) 1.5 s
b) 2 s
c) 0.5 s
d) 1 s

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2. The rotational analgue of force is
a) Momentum
b) Angular momentum
c) Torque
d) None of these

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1. A satellite is moving around the earth with speed υ in a circular orbit of radius r. If the orbit radius is decreased by 1% its speed will
a) increase by 1%
b) increase by 0.5%
c) decrease by 1%
d) decrease by 0.5%

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2. The distance between the centres of the Moon and the earth is D. The mass of the earth is 81 times the mass of the Moon. At what distance from the distance from the centre of the earth, the gravitational force will be zero?
a) $\frac{D}{2}$
b) $\frac{2D}{3}$
c) $\frac{4D}{3}$
d) $\frac{9D}{10}$

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1. Two parallel wires each of length 10 cm are 0.5 cm apart. A film of water is formed between them . If surface tension of water is 0.072 N/m, then the work done in increasing the distance between the wires by 1mm is
a) 1.44 x 10^-5 J
b) 1.72 x 10^-5 J
c) 1.44 x 10^-4 J
d) 1.72 x 10^-4 J

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2. A parrot sitting on the floor of a wire cage which is being carried by a boy starts flying. The boy will feel that the box is now
a) Heavier
b) Lighter
c) Shows no change in weight
d) Lighter in beginning and heavier later.

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1. A particle is placed at the origin and a force F = kx is acting on it (where k is a positive constant. If U(0)= 0, the graph of U(x) verses x will be (where U is the potential energy function ).
a)
b)
c)
d)

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2. A ball is made of a material of density ρ where ρ _oil < ρ < ρ_water with ρ_oil and ρ_water representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?
a)
b)
c)
d)

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1. A glass cylinder contains m₀ = 100g of mercury at a temperature of t₀ = 0⁰C . When temperature becomes t₁ = 20⁰C the cylinder contains m₁ = 99.7 g of mercury . The coefficient of volume expansion of mercury γ_He = 18 x 10^-5/⁰C. Assume that the temperature of the mercury is equal to that of the cylinder. The coefficient of linear expansion of glass α is
a) $10^{-5}/^{0}C$
b) $2 \times 10^{-5}/^{0}C$
c) $3 \times 10^{-5}/^{0}C$
d) $6 \times 10^{-5}/^{0}C$

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2. A steel ball of mass m₁ = 1kg moving with velocity 50m/s collides with another ball of mass m₂ = 200g lying on the ground. During the collision their internal energies change equally and T₁ and T₂ are the rise in temperature of masses m₁ and m₂, respectively. If specific heat of steel is 0.105 and J = 4.18 J/cal, then
a) T1 = 7.1⁰C and T2 = 1.47⁰C
b) T1 = 1.47⁰C and T2 = 7.1⁰C
c) T1 = 3.4K and T2 = 17.0K
d) T1 = 7.1K and T2 = 1.4 K

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1. During an isothermal expansion , a confined ideal gas does -150J of work against its surroundings. This implies that
a) 150J of heat has been removed from the gas
b) 300J of heat has been added to the gas
c) no heat is transferred because the process is isothermal
d) 150J of heat has been added to the gas

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2. When a cyclic path is traced in anticlockwise direction, net work is done by the gas
a) True
b) False

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1. P-V diagram of an ideal gas is as shown in Fig fig. Work done by the gas in the process ABCD is

a) $4P_{0}V_{0}$
b) $2P_{0}V_{0}$
c) $3P_{0}V_{0}$
d) $P_{0}V_{0}$

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2. A vessel contains a mixture of 7g of nitrogen and 11g of carbon dioxide at temperature T = 300K. If the pressure of the mixture is 1atm (1 x 10⁵ N/m²), its density is (gas constant R = 25/3 J/mol K)
a) $0.72 kg/m^{3}$
b) $1.44 kg/m^{3}$
c) $2.88 kg/m^{3}$
d) $5.16 kg/m^{3}$

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1. The function sin⁴(ωt)represents
a) a simple harmonic motion with a period Ï€/ω
b) a simple harmonic motion with a period 2Ï€/ω
c) a periodic , but not simple harmic motion with a period Ï€/ω
d) a periodic but not simple harmonic motion with a periodid 2Ï€/ω

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2. The square of frequency of vibration (n²) of a given length of sonometer wire varies with tension T in (figure) as
a)
b)
c)
d)

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1. A motorcycle starts from rest and accelerates along a straight line at 2.2 m/s². The speed of sound is 330m/s. A siren at the starting point remains stationary. When the driver hears the frequency of the siren at 90% of when the motorcycle is stationary, the distance travelled by the motorcyclist is
a) 123.75 m
b) 247.5 m
c) 495 m
d) 990m

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2. To decrease the fundamental frequency of a stretched string fixed at both ends one might
a) increase its tension
b) increase its wave velocity
c) increase its length
d) decrease its linear mass density

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1. In a two-dimensional motion of a particle, the particle moves from point A, with position vector $\vec{r}_{1}$, to point B, with position vector. $\vec{r}_{2}$. If the magnitudes of these vectors are respectively ,r₁ = 3 and r₂ = 4 and the angles they make with the x-axis are, θ₁ = 75⁰ and θ₂ = 15⁰, respectively, then find the magnitude of the displacement vector

a) 15
b) $\sqrt{13}$
c) 17
d) $\sqrt{15}$

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2. Given that $\vec{A} + \vec{B}$ = $\vec{C}$. If $|\vec{A}|$ = 4, $|\vec{B}|$ = 5 and $|\vec{C}|$ = $\sqrt{61}$, the angle between $\vec{A}$ and $\vec{B}$ is
a) 30⁰
b) 60⁰
c) 90⁰
d) 120⁰

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1. A U-shaped wire has a semicircular bending between A and B as shown in Figure. A bead of mass m moving with uniform speed through a wire enters the semicircular bend at A and leaves at B with velocity v/2 after after time T. The average force exerted by the bead on the part AB of the wire is

a) 0
b) $\frac{3mv}{2T}$
c) $\frac{3mv}{T}$
d) none of these

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2. A ball of mass m is released from rest relative to elevator at a height h₁ above the floor the floor of the elevator. After making collision with the floor of the elevator it rebounces to height h₂. The coefficient of resitution for collision is e. For this situation, mark the correct statement(s).

a) If elevator is moving down with constant velocity v₀, then h₂ = e²h₁
b) If elevator is moving down with constant velocity v₀ , then h₂ = e²h₁ - $\frac{v^{2}_{0}}{2g}$.
c) If elevator is moving down with constant velocity v₀, then impulse imparted by floor of the elevator to the ball is $m(\sqrt{2gh_{2}}+\sqrt{2gh_{1}}+2v_{0})$ in the upward direction.
d) If elevator is moving with constant acceleration of g/4 in upward direction, then it is not possible to determine a relation between h₁ and h₂ from the given information.

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1. A yo-yo is placed on a rough horizontal surface and a constant force F, which is less than its weight, pulls it vertically. Due to this

a) friction force acts towards left, so it will move towards left
b) friction force acts towards right, so it will move towards right
c) it will move towards left, so friction force acts towards left
d) it will move towards right so friction acts towards right

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2. In the figure shown, a small ball of mass m can move without sliding in a fixed semicircular track of radius R in a vertical plane. It is released from the top. The resultant force on the ball at the lowest point of the track is

a) $\frac{10mg}{7}$
b) $\frac{17mg}{7}$
c) $\frac{3mg}{7}$
d) zero

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1. The minimum horizontal acceleration of the container so that the pressure at point A of the container becomes atmospheric is (the tank is of sufficient height)

a) $\frac{3}{2}g$
b) $\frac{4}{3}g$
c) $\frac{4}{2}g$
d) $\frac{3}{4}g$

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2. An ideal fluid flows in the pipe as shown in the figure. The pressure in the fluid at the bottom P₂ is the same as it is at the top P₁. If the velocity of the top v₁ = 2 m/s. Then the ratio of areas A₁/A₂ is

a) 2: 1
b) 4:1
c) 8:1
d) 4:3

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