Momentum of an object depends on which factors? I. Mass of the object II. Speed of the object III. Velocity of the object

What is the distance covered by boat N upstream in 5 hours? Which of the following option is sufficient alone to find the answer? A) Boat M is travelling downstream with 20% more downstream speed of boat N. Speed of boat M in still water is 10% more than the speed of boat N in still water. B) Boat M and Boat N are travelling downstream with speed 33 km/hr and 40 km/hr respectively and speed of boat M is still water is 2 times the speed of stream. C) Speed of boat M in still water is 6 km/hr less then speed of boat N in still water and speed of stream is 10 km/hr. D) Speed of stream is ½ times the speed of boat N in still water and downstream speed of boat M is 44 km/hr. E) Speed of stream is 10 km/hr and ratio of upstream speed of boat M and boat N is 3 : 2 respectively.

A

Only A and B

B

Only B and C

C

Only B

D

All A, B, C and D

E

None of A, B, C and D

The momentum of an object depends on which factors? I. Mass of the object II. The velocity of the object III. The volume of the object

A

I only

B

I and II only

C

I and III only

D

I, II and III

What is the monoisotopic and average mass of valine? Given data: Mass of the most abundant isotope of Carbon (C°)=12.0000, Mass of most abundant isotope of Hydrogen (H°)=1.0078, Mass of most abundant isotope of Oxygen (O°)=15.9949, Mass of most abundant isotope of Nitrogen (N°)=14.0031, The average mass of Carbon (C)=12.011, The average mass of Hydrogen (H)=1.008, The average mass of Oxygen (O)=15.999, The average mass of Nitrogen (N)=14.007.

A

99.068 and 99.2361

B

99.216 and 99.326

C

99.111 and 99.321

D

99.068 and 99.132

Which of the following is incorrect regarding Escape velocity? a. It doesn’t depend on the mass of the object. b. It depends on the mass of the object. c. From the earth it depends on the mass and gravity of the earth. d. From earth it is 12.20 km/s.

A

Only a

B

a and c

C

b, c and d

D

All of the above

If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined? (A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’? (B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed? (C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed? (D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?

A

Only A, B and D

B

All A, B, C and D

C

Only B and D

D

Only A and D

E

Only B and C

A haulage rope winds on a drum of radius 500 mm, the free end being attached to a truck. The truck has a mass of 500 kg and is initially at rest. The drum is equivalent to a mass of 1250 kg with radius of gyration 450 mm. The rim speed of the drum is 0.75 m/s before the rope tightens. By considering the change in linear momentum of the truck and in the angular momentum of the drum, find the speed of the truck when the motion becomes steady.

A

0.502 m/s

B

0.602 m/s

C

0.702 m/s

D

0.802 m/s

Statement I When a gun is fired, i.e. it placing pushes back with much less velocity than the velocity of the bullet.
Statement II Velocity of the recoiling gun is less because the gun is much heavier than bullet.
According to the Principle of conservation of momentum when the gun is fired, momentum of gun and bullet system remains constant.

A

Both the statements are individually true and statement II is the correct explanation of statement I

B

Both the statements are individually true but statement II is not the correct explanation of statement I

C

Statement I is true, but statement II is false

D

Statement I is false, but statement II is true

Given below are certain factors on which speed of the sound wave depends in different mediums. Choose the option which gives the correct factors on which the speed of the sound depends in an ideal gas. The molecular weight of the gas Temperature Pressure Density

A

A and D

B

B and C

C

A and C

D

C and D

If the number of perfect square factors and perfect cube factors of 3000 is x and y respectively, then what is the ratio of the sum of total perfect square factors and the perfect cube factors to that of the total number of factors of 3000? Session Expired We will redirect you to login 1page in 5 secs. Please login again and resume your work

A

1 : 6

B

1 : 8

C

1 : 4

D

1 : 2

The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A car travels from city P to city Q in T hours with a speed of v km per hour. Distance between cities P and Q is D kilometers. If it increases its speed by 5 kmph it saves some time. Find the actual speed of the car. Statement I: If the car travels from P to Q with its actual speed of v kmph and come back with the speed of v + 5 kmph in 2T – 0.6 hrs Statement II: A bus start form Q at the same time when the car starts from P and the speed of the bus is 50% more than the speed of the car and the bus meets car after covering 60% of the distance Statement III: Distance between PQ is given by D2 – 25D + 200 = 0

A

Statement I and II are sufficient to answer the question

B

Statement I and III are sufficient to answer the question.

C

Any two statements are sufficient to answer the question.

D

All the statements together are not sufficient to answer the question.

E

All the statements together are required to answer the question.

Momentum of an object depends on which factors? I. Mass of the object II. Speed of the object III. Velocity of the object

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