A particle of mass m is executing oscillations about the origin on the x-axis. Its potential energy is Vex) = kx₂ .Where k is a positive constant. If the amplitude of oscillation is a, then its time period T is ________.

1. Proportional to \(\frac{1}{\sqrt{a}}\)

2. independent of a

3. proportional to \(\sqrt{a}\)

4. proportional to a^3/2

If a person moves from Chennai to Trichy, his weight

1. increases

2. decreases

3. remains same

4. increases and then decreases

The numbers 3.665 and 3.635 on rounding off to 3 significant figures will give____________

1. 3.66 and 3.63

2. 3.66 and 3.64

3. 3.67 and 3.63

4. 3.67 and 3.64

Second law of Newton gives the ______ definition of force.

1. fundamental

2. quantitative

3. dimensional

4. both (b) and (c)

According to Kepler, the period of revolution of a planet (T) and its mean distance from the Sun (a) are related by the equation __________.

1. T³ a³ = constant

2. T² a^-3 = constant

3. Ta³ = constant

4. T²a = constant

The dimension of Planck's constant are same as

1. energy

2. power

3. angular momentum

4. momentum

Universal gas constant is

1. C_p/C_v

2. C_p - C_v

3. C_p + C_v

4. C_v/C_p

The speed of a wave in a medium is 760 m/s. 1f3600 waves are passing through a point in the medium in 2 minutes, then its wavelength is_______

1. 13.8 m

2. 25.3 m

3. 41.5 m

4. 57.2 m

The word physics is derived from the word_______

1. scientist

2. fusis

3. fission

4. fusion

An organ pipe of length I vibrates in the fundamental mode, the pressure variation is maximum

1. at the 2 ends

2. at the distance l/2 inside the ends

3. at the distance l/4 inside the ends

4. at the distance l/6 inside the ends

A ball bounces to 75% of its original height. Calculate the mechanical energy lost in each bounce.

1. 0.40

2. 0.35

3. 0.25

4. 0.20

The ratio \(\gamma =\frac { { C }_{ p } }{ { C }_{ V } } \) for a gas mixture consisting of 8 g of helium and 16 g of oxygen is

1. \(\frac { 23}{15}\)

2. \(\frac { 15}{23}\)

3. \(\frac { 27}{17}\)

4. \(\frac { 17}{27}\)

Angular momentum acts perpendicular to

1. \(\overrightarrow{r}\)

2. \(\overrightarrow{p}\)

3. both \(\overrightarrow{r}\) and \(\overrightarrow{p}\)

4. plane of the paper

The displacement equation of an oscillator is y ==5 sin (0.2 \(\pi\) + 0.5 n) in SI units. The time period of oscillation is ________

1. 10 s

2. 1 s

3. 0.2 s

4. 0.5 s

As astronaut orbiting the earth in a circular orbit 120 km above the surface of Earth, gently drops a spoon out of space-ship. The spoon will________.

1. fall vertically down to the Earth

2. move towards the moon

3. will move along with space-ship

4. will move in an irregular way then fall down to Earth

If v_a, v_h, and v_m are the speeds of sound in air, hydrogen and a metal at the same temperature, then _______

1. v_h>v_a>v_m

2. v_m>v_h>v_a

3. v_h>v_m>v_a

4. v_a>v_h>v_m

The scalar product of two (A) vector is

1. AB sinθ

2. AB cosθ

3. \(ABsin\theta\hat n\)

4. \(ABcos\theta\hat n\)

Which of the following is having same dimensional formula?

1. Work and power

2. Radius of gyration and displacement

3. Impulse and force

4. Frequencies and wavelength

Which of the following graph represents the equation y = -mx + C?

1. 

2. 

3. 

4. 

1 kilowatt-hour is equivalent to

1. 10^-7 J

2. 1.6 x 10^-19 J

3. 4.186 J

4. 3.6 x 10^-6 J

The accleration of 20 m/s² in km/h² is

1. 2.59 x 10⁵ km/h²

2. 1.29 x 10⁵ km/h²

3. 2.0 x 10³ km/h²

4. 3.5 x 10⁵ km/h²

Moment of inertia of a thin uniform rectangular sheet about an axis passing through the center of mass and perpendicular to the plane of the sheet is

1. \(\frac{1}{3}Ml^{2}\)

2. \(\frac{1}{12}Ml^{2}\)

3. \(\frac{1}{2}m(l^{2}+b^{2})\)

4. Ml²

1 erg is equivalent to

1. 10^-7 J

2. 1.6 x 10^-19 J

3. 4.186 J

4. 3.6 x 10^-6J

According to triangle law of vector addition, the direction of the resultant is given by:

1. \(tan\alpha=\frac{Pcos \theta}{P+Qsin\theta}\)

2. \(tan\alpha=\frac{Qsin \theta}{P+Qcos\theta}\)

3. \(tan\alpha=\frac{Qcos \theta}{P+Qsin\theta}\)

4. \(tan\alpha=\frac{Qcos \theta}{Qsin\theta}\)

A gun fires bullets each of mass 1 g with a velocity of 10 ms! by exerting a constant force of 5 g weight. Then the number of bullets fired per second is (g = 10 ms^-2)

1. 5

2. 10

3. 50

4. 25

A lift is moving down with an acceleration of 4.9 ms^-2. The percentage change in the weight of a person in the lift is

1. 75%

2. 50%

3. 25%

4. 12.5%

The speed of an object v = 90km/h. The same quantity of speed in m/s is

1. 90

2. 25

3. 45

4. 180

In an elastic collision

1. both momentum and kinetic energy are conserved

2. only kinetic energy is conserved

3. both momentum and kinetic energy are not conserved

4. only momentum is conserved

A raindrop falls near the surface of the earth with almost uniform velocity because

1. its weight is negligible

2. the force of surface tension balances its weight

3. the force of viscosity of air balances its weight

4. the drops are charged and atmospheric electric field balances its weight

A force system is said to be concurrent, if the lines of all forces:

1. intersect at a common point

2. intersect at a common point in equal angles

3. intersect at a common point in common plane

4. none of these

The dimensional formula for relative density is

1. ML^-3

2. M^OL^-3

3. M⁰L⁰T⁰

4. M⁰L⁰T^-1

Rotational kinetic energy can be calculated by using

1. \(\frac { 1 }{ 2 } \)Iω²

2. \(\frac { L^{ 2 } }{ 2I } \)

3. \(\frac { 1 }{ 2 } L\omega \)

4. all the above

Two masses m₁ = 2 kg and m₂ = 1 kg are connected by a string which passes over a smooth frictionless pulley. The acceleration of the masses when they are released is,

1. 3.26 ms^-2

2. 2.26 ms^-2

3. 1.26 ms^-2

4. 4.26 ms^-2

The displacement of an object attached to a spring & executing SAM is given by x = 2 x 10^-2 cos πt the time at which the speed first occus is

1. 0.55 μ

2. 0.75 μ

3. 0.125 μ

4. 0.25 μ

Water rises in a vertical capillary tube upto a length of 10 cm if the tube is inclined at 45^o, the length of water risen will be

1. 10cm

2. 10\(\sqrt { 2 } \)cm

3. \(\frac { 10 }{ \sqrt { 2 } cm } \)

4. none of these

One atomus equal to ________

1. 100 ms

2. \(\frac { 1 }{ 6.25 } \) ms

3. 160 ms

4. 160 ms

If I, \(\alpha \) . and \(\tau \) are MI, angular acceleration and torque respectively of a body rotating about any axis with angular velocity \(\omega \) , then

1. \(\tau =I\omega \)

2. \(\tau =I\alpha \)

3. \(I =r\omega \)

4. \(\alpha =r\omega \)

Newton's second and third laws of motion lead to the conservation of:

1. linear momentum

2. angular momentum

3. potential energy

4. kinetic energy

X = ky² is represented by

1. 

2. 

3. 

4. 

If Q,E and W denote respectively the heat added, change in internal energy and the work done in a closed cyclic process, then __________.

1. W=0

2. Q=W=O

3. E=0

4. Q=0

The random error in the arithmetic mean of 50 observations is 'a', then the random error in the arithmetic mean of 200 observations a would be_______________

1. 4a

2. 16a²

3. \(a\over 4\)

4. \(a\over 2\)

A vehicle with a horn of frequency n is moving with a velocity of 30mls in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency n + n₁. Then (if the sound velocity in air is 300 m/s) _________

1. n₁ = 10n

2. n₁=0

3. n₁ =-0.1 n

4. n₁ =0.1 n

The waves produced by a motor boat sailing in water are

1. transverse

2. longitudinal

3. stationary

4. longitudinal and transverse

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature the ratio \(\frac { { C }_{ p } }{ { C }_{ v } } \)for the gas is

1. \(\frac{4}{3}\)

2. 2

3. \(\frac{5}{3}\)

4. \(\frac{3}{2}\)

Assuming Earth to be a sphere of a uniform density, what is value of gravitational acceleration in mine 100 km below the Earth surface = _________ ms-²

1. 9.66

2. 7.64

3. 5.00

4. 3.1

Which of the following curves does not represent motion in one dimension?

1. 

2. 

3. 

4. 

Which is a vector quantity?

1. Angular momentum

2. Work

3. Potential energy

4. Electric energy

A satellite is moving around the Earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1% its speed will _______.

1. increase by 1%

2. increase by 0.5%

3. decrease by 1%

4. decrease by 0.5%

Femto is equal to:

1. 10^-6m

2. 10-¹³m

3. 10^-15m

4. 10^-12m

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?

1. Moment of inertia

2. Angular momentum

3. Angular velocity

4. Rotational kinetic energy

An air column in a pipe which is closed at one end, will be in resonance with the vibrating body of frequency 83Hz. Then the length of the air column is

1. 1.5 m

2. 0.5 m

3. 1.0 m

4. 2.0 m

Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be

1. 2v

2. Zero

3. 1.5v

4. v

Which one of the following motions on a smooth plane surface does not involve force?

1. accelerated motion in a straight line

2. retarded motion is a straight line

3. motion with constant momentum along a straight line

4. motion along a straight line with varying velocity

If r and k represent the radius and radius of gyration of a rolling body, the ratio of the rotational kinetic energy to the total kinetic energy of the body is

1. k²:r²

2. (k² + r²) : r²

3. r²:(k²+r²)

4. k²:(k²+r²)

Scientist preferred platinum - Iridium alloy cylinder for making prototype of 1 kg standard of mass because it is unaffected by:

1. temperature

2. pressure

3. time

4. amount of substance

The gravitational potential energy of the Moon with respect to Earth is

1. always positive

2. always negative

3. can be positive or negative

4. always zero

Which of the following functions represent SHM?
I. Y = sin ωt - cos ωt
II. y = sin³t
III. y = 5 cos\(\quad \left( \frac { 3\pi }{ 4 } -3\omega t \right) \)
IV. y = 1 + ωt + ω²t²

1. I and III

2. I and II

3. only I

4. I, II and III

A mass of 1 kg is thrown up with a velocity of 1.00 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity 25 m/s. The velocity of other part is (Take g = 10 ms^-2)

1. 40 m/s

2. 40 m/s

3. 100 m/s

4. 60 mls

lf the work done is completely recoverable, then the force is

1. conservative

2. non-conservative

3. both (a) and (b)

4. frictional in nature

The angle of an object is 18.2°. What is the angular diameter of the object in radians?

1. 36.4 rad

2. 3.64 x 10^-2 rad

3. 31.74 x 10^-2rad

4. 3.17 rad

In a two particle system, one particle lies at origin another one lies at a distance of X. Then the position of center of mass of these particles of equal mass is

1. \(\frac{m_2 X_2}{m_1+m_2}\)

2. \(\frac{X}{2}\)

3. \(\frac{mX}{m_1+m_2}\)

4. \(\frac{m_1+m_2}{mX}\)

\(\vec A\times \vec B\) is

1. \(AB\cos\theta\)

2. \(AB\sin\theta\)

3. \(AB\tan\theta\)

4. \(AB\sec\theta\)

Two cars P and Qstart fun a point at the same time in a straight line and their positions are represented by Xp(t) = (at + bt²) and x_Q(t) = (ft - ft²). At what time do the cars have the same velocity?

1. \({a-f\over l+b}\)

2. \({a+f\over2(b-1)}\)

3. \({a+f\over2(l+b)}\)

4. \({f-a\over2(b-1)}\)

In elastic collision low of conservation of momentum holds good if:

1. time of collision is small

2. bodies are mere particles

3. bodies are mere spheres

4. under all conditions

The equation of a wave is y = 4 sin \(\left\{ \frac { \pi }{ 2 } \left( 2t+\frac { x }{ 8 } \right) \right\} \)where y, x are in em and t in seconds. The amplitude wavelength, velocity and frequency of the wave are, respectively _________.

1. 4 cm, 32 cm, 16 cm/s, 0.5 Hz

2. 8 cm, 16 cm, 32 cm/s, 1.0 Hz

3. 4 cm, 32 cm, 32 cm/s, 0.5 Hz

4. 8 cm, 16 cm, 16 cm/s, 1.0 Hz

Viscosity is a property of

1. liquids only

2. solid only

3. solids & liquids only

4. liquids & gases only

The displacement 'x' (in meter) of a particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in sec) by t = \(\sqrt{x}\) + 3 . The displacement of the particle when its velocity is zero, will be

1. 4m

2. 0m(zero)

3. 6m

4. 2m

A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by

1. 68%

2. 41%

3. 200%

4. 100%

A bus travelling the first one-third distance at a speed of 10 km/h, the next one-third at 20 km/h and at last one-third at 60 km/h. The average speed of the bus is

1. 9km/h

2. 16km/h

3. 18km/h

4. 48km/h

the velocity of sound in air is 340 ms^-1, a person singing a note of frequency 250 cps is producing sound waves with a wavelength of ________

1. 0.7

2. 1.36 cm

3. 1.36 m

4. 85 km