# GATE: Physics MCQs (Practice_Test 33 of 35)

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A 2 kg mass is acted upon by a force which gives a time dependent displacement of x = t2/2. The work done in the time interval 0 to to is:

0.5 to

to

t2o

t3 o

Two point particles with masses m1 and m2 are thrown at angles q1 and q2 with the horizontal with speeds of v1 and v2 respectively. T, H and R represent the total time of flight, the maximum height attained and the horizontal range covered respectively. If v1 sin q1 = v2 sin q2 then for both the particles

T and H will be the same but T will be different

T and R will be the same but H will be different

H and R will be the same but T will be different

T, H, and R will be different

It is easier to roll a stone up a sloping road than to lift it vertical upwards because

work done in rolling is more than in lifting

work done in lifting the stone is much more than rolling it

work done in both is same but the rate of doing work is less in rolling

work done in rolling a stone is less than in lifting it

A sphere of radius R and mass M rolls without slipping on a surface with speed ‘v’ The ratio of translational KE and rotational KE is

⅕

⅖

5/2

5

Match List I (Conservation Law) with List II (Associated symmetries) and select the correct answer

List-I List-II Energy

Linear momentum

Angular momentum

Homogeneity of space

Isotropy of space

Homogeneity of time

- A
- B
- C

- 3
- 2
- 1

- 1
- 2
- 3

- 3
- 1
- 2

- 2
- 1
- 3

Consider the following forces

Nuclear force

Electromagnetic force

Weak force

Gravitational force

The correct sequence of these forces in order of increasing values of their magnitude is

4, 3, 1, 2

4, 3, 2, 1

3, 4, 2, 1

3, 4, 1, 2

Two satellites of masses M and 9M ar orbiting a planet in orbits of radius R. Their periods of rotation will be in the ratio of

9: 1

3: 1

1: 1

1: 3

In the case of geostationary satellite, the

rotation of the earth and the revolution of the satellite will be in the same direction

rotation of the earth and revolution of the satellite will be in opposite directions

angular velocity of the earth's rotation and angular velocity of revolution of the satellite will be equal and be in the same direction

angular velocity of the earth's rotation and angular velocity of revolution of the satellite will not be equal

What is the correct sequence of the following in increasing order of their values of ‘g’ (acceleration due to gravity)?

Moon

Jupiter

Earth

Mars

Select the correct answer using the codes given below

1, 4, 2, 3

1, 3, 2, 4

1, 3, 4, 2

1, 4, 3, 2

In the case of suspensions shown in the given diagrams, the natural frequencies of the three simple harmonic oscillators will be in the ratio of

(2) ½ 1: 1/(2) ½

21: 1: ½

½ 1: 2

1/(2) ½ 1: (2) ½

The force needed to punch a hole of diameter 7cm in a steel plate of thickness 2/p cm and ultimate shear strength of 350 × 106 Nm-2 is

4.9 × 105N

9.8 × 105N

34.3 × 105N

68.6 × 105N

Which one of the following is the best example of an elastic collision? The collision between

a ball and the floor

a bullet and the target

a truck and a car

molecule

Particle A has a velocity of 2 × 108 m/s and another particle B has a velocity of-2 × 108 m/s. The velocity of A relative to B is

4 × 108 m/s

zero

2.76 × 108 rn/s

1.38 × 108 m/s

Energy corresponding to the rest mass of a positron is

1.02 MeV

0.51 keV

0.51 MeV

None of the above

Match List I (Property at fluid) with List II (Law of fluid motion) and select the correct answer

List-I List-II Volume rate of flow

Viscous drag

Speed of efflux (exit)

Pressure difference between two points in a flow tube

Bernoulli's theorem

Torricelli's theorem

Stoke's law

Poiseuille's law

- A
- B
- C
- D

- 4
- 3
- 1
- 2

- 3
- 4
- 1
- 2

- 3
- 4
- 2
- 1

- 4
- 3
- 2
- 1