Question 1

Which of the following,in which n and m have integer values,is a correct formula for a wavelength emitted by a hydrogen atom?

Accepted Answer

A)  $$\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( m ^ { 2 } - n ^ { 2 } \right)$$ 
B)  $$\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( m ^ { 2 } - \frac { 1 } { n ^ { 2 } } \right)$$ 
C)  $\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( \frac { 1 } { n ^ { 2 } } - m ^ { 2 } \right)$ 
D)  $\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( \frac { 1 } { m } - \frac { 1 } { n } \right)$ 
E)  $\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( \frac { 1 } { m ^ { 2 } } - \frac { 1 } { n ^ { 2 } } \right)$ 
A)  $$\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( m ^ { 2 } - n ^ { 2 } \right)$$ 
B)  $$\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( m ^ { 2 } - \frac { 1 } { n ^ { 2 } } \right)$$ 
C)  $\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( \frac { 1 } { n ^ { 2 } } - m ^ { 2 } \right)$ 
D)  $\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( \frac { 1 } { m } - \frac { 1 } { n } \right)$ 
E)  $\frac { 1 } { \lambda } = R _ { \mathrm { H } } \left( \frac { 1 } { m ^ { 2 } } - \frac { 1 } { n ^ { 2 } } \right)$

Question 2

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 *107 m.If the radius of Roton is 5.0 * 106 m,what is the magnitude of the free-fall acceleration on the surface of Roton?

Accepted Answer

A) 31 m/s2 
B) 27 m/s2 
C) 34 m/s2 
D) 40 m/s2 
E) 19 m/s2 
A) 31 m/s2 
B) 27 m/s2 
C) 34 m/s2 
D) 40 m/s2 
E) 19 m/s2

Question 3

An energy of 13.6 eV is needed to ionize an electron from the ground state of a hydrogen atom.Selecting the longest wavelength that will work from the those given below,what wavelength is needed if a photon accomplishes this task?

Accepted Answer

A) 60 nm 
B) 80 nm 
C) 70 nm 
D) 90 nm 
E) 40 nm 
A) 60 nm 
B) 80 nm 
C) 70 nm 
D) 90 nm 
E) 40 nm

Question 4

The period of a satellite circling planet Nutron is observed to be 84 s when it is in a circular orbit with a radius of 8.0 * 106 m.What is the mass of planet Nutron?

Accepted Answer

A) 6.2 * 1028 kg 
B) 5.0 * 1028 kg 
C) 5.5 * 1028 kg 
D) 4.3 *1028 kg 
E) 3.7 * 1028 kg 
A) 6.2 * 1028 kg 
B) 5.0 * 1028 kg 
C) 5.5 * 1028 kg 
D) 4.3 *1028 kg 
E) 3.7 * 1028 kg

Question 5

Planet Roton has a mass of 4.0 *1023 kg and a radius of 2.0 *106 m.With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 * 106 m from the center of Roton?

Accepted Answer

A) 4.2 km/s 
B) 3.9 km/s 
C) 3.0 km/s 
D) 3.4 km/s 
E) 6.0 km/s 
A) 4.2 km/s 
B) 3.9 km/s 
C) 3.0 km/s 
D) 3.4 km/s 
E) 6.0 km/s

Question 6

Exhibit 13-1
 Three 5.0-kg masses are located at points in the xy plane as shown in the figure.   Use this exhibit to answer the following question(s).
-Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses)on the mass at x = 0.40 m,y = 0?

Accepted Answer

A) 2.2 *10-8 N 
B) 1.9 *10-8 N 
C) 1.4 *10-8 N 
D) 1.6 *10-8 N 
E) 2.5 * 10-8 N 
A) 2.2 *10-8 N 
B) 1.9 *10-8 N 
C) 1.4 *10-8 N 
D) 1.6 *10-8 N 
E) 2.5 * 10-8 N

Question 7

A satellite revolves around the Earth in a circular orbit with a mechanical energy of $- 10 ^ { 12 }$ J.What is its kinetic energy?

Accepted Answer

A)  $- 5 \times 10 ^ { 11 } J$ 
B)  $+ 5 \times 10 ^ { 11 } J$ 
C)  $+ 10 \times 10 ^ { 11 } \mathrm {~J}$ 
D)  $- 20 \times 10 ^ { 11 } \mathrm {~J}$ 
E)  $+ 7.1 \times 10 ^ { 11 } \mathrm {~J}$ 
A)  $- 5 \times 10 ^ { 11 } J$ 
B)  $+ 5 \times 10 ^ { 11 } J$ 
C)  $+ 10 \times 10 ^ { 11 } \mathrm {~J}$ 
D)  $- 20 \times 10 ^ { 11 } \mathrm {~J}$ 
E)  $+ 7.1 \times 10 ^ { 11 } \mathrm {~J}$

Question 8

A satellite is in a circular orbit about the Earth at an altitude at which air resistance is negligible.Which of the following statements is true?

Accepted Answer

A) There is only one force acting on the satellite. 
B) There are two forces acting on the satellite,and their resultant is zero. 
C) There are two forces acting on the satellite,and their resultant is not zero. 
D) There are three forces acting on the satellite. 
E) None of the preceding statements are correct. 
A) There is only one force acting on the satellite. 
B) There are two forces acting on the satellite,and their resultant is zero. 
C) There are two forces acting on the satellite,and their resultant is not zero. 
D) There are three forces acting on the satellite. 
E) None of the preceding statements are correct.

Question 9

At the moment of a total eclipse,the moon lies along a line from the Earth to the sun.If your normal weight is 600 N,how much is your weight decreased by the combined pull of the sun and moon?
MSUN = 2.0 *1030 kg,
rS-E = 1.5 * 108 km
MMOON = 7.4 *1022 kg,
rM-E = 3.8*105 km

Accepted Answer

The answer of At the moment of a total eclipse,the...

Question 10

The energy difference between the upper and lower levels in a certain laser is 1.9593 eV.What is the wavelength of the light emitted by the laser?

Accepted Answer

The answer of The energy difference between the upper and...

Question 11

What is the magnitude of the free-fall acceleration at a point that is a distance 2R above the surface of the Earth,where R is the radius of the Earth?

Accepted Answer

A) 4.8 m/s2 
B) 1.1 m/s2 
C) 3.3 m/s2 
D) 2.5 m/s2 
E) 6.5 m/s2 
A) 4.8 m/s2 
B) 1.1 m/s2 
C) 3.3 m/s2 
D) 2.5 m/s2 
E) 6.5 m/s2

Question 12

The planet Venus requires 225 days to orbit the sun,which has a mass M = 1.99* 1030 kg,in an almost circular trajectory.Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Accepted Answer

1.08 * 10<

Question 13

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R.What is the speed of the object just before striking the surface of the planet? Neglect any air resistance.Let h = 4.0*106 m,R = 5.0 *106 m,and M = 4.0 *1024 kg.

Accepted Answer

A) 7.8 km/s 
B) 3.5 km/s 
C) 5.4 km/s 
D) 6.9 km/s 
E) 4.8 km/s 
A) 7.8 km/s 
B) 3.5 km/s 
C) 5.4 km/s 
D) 6.9 km/s 
E) 4.8 km/s

Question 14

A 50-kg satellite circles planet Cruton every 5.6 h in an orbit with a radius of 12 * 106 m.What is the magnitude of the gravitational force on the satellite by planet Cruton?

Accepted Answer

A) 63 N 
B) 58 N 
C) 68 N 
D) 73 N 
E) 50 N 
A) 63 N 
B) 58 N 
C) 68 N 
D) 73 N 
E) 50 N

Question 15

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097*107 m - 1)

Accepted Answer

A) 8.2 * 106 m 
B) 1.2 *10 - 7 m 
C) 2.7 * 106 m 
D) 3.6*10 - 7 m 
E) 8.8 *10 - 7 m 
A) 8.2 * 106 m 
B) 1.2 *10 - 7 m 
C) 2.7 * 106 m 
D) 3.6*10 - 7 m 
E) 8.8 *10 - 7 m

Question 16

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom.Its wavelength is 656 nm.What value of n is associated with the light? (RH = 1.097 * 107 m - 1)

Accepted Answer

A) 5 
B) 2 
C) 4 
D) 3 
E) 6 
A) 5 
B) 2 
C) 4 
D) 3 
E) 6

Question 17

Isaac Newton was able to estimate a value for G,the universal gravitational constant,from the following data: the radius of the Earth is about 6 400 km,the average density of rocks is about 5.50 g/cm3,and g = 9.80 m/s2 near the surface of the Earth.What value did Newton obtain for G?

Accepted Answer

6.65 *10<sup>-</sup>

Question 18

The period of oscillation of a near-Earth satellite (neglecting atmospheric effects)is 84.3 min.What is the period of a near-Moon satellite? (RE = 6.37 * 106 m;RM = 1.74 * 106 m;ME = 5.98 * 1024 kg;MM = 7.36 * 1022 kg. )

Accepted Answer

A) 6.03 * 10- 3 min. 
B) 0.713 min. 
C) 84.3 min. 
D) 108 min. 
E) 140 min. 
A) 6.03 * 10- 3 min. 
B) 0.713 min. 
C) 84.3 min. 
D) 108 min. 
E) 140 min.

Question 19

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Accepted Answer

A) its speed is constant. 
B) its speed is increasing. 
C) its speed is decreasing. 
D) its speed is a maximum. 
E) its speed is a minimum. 
A) its speed is constant. 
B) its speed is increasing. 
C) its speed is decreasing. 
D) its speed is a maximum. 
E) its speed is a minimum.

Question 20

Knowing that $g = 9.80 \frac { \mathrm { m } } { \mathrm { s } ^ { 2 } }$ at sea level and that RE = 6.37 * 106 m,we find that the value of g in $\frac { \mathrm { m } } { \mathrm { s } ^ { 2 } }$ at a distance RE from the surface of the Earth is

Accepted Answer

A) 1.23. 
B) 2.45. 
C) 4.90. 
D) 7.35. 
E) 9.80. 
A) 1.23. 
B) 2.45. 
C) 4.90. 
D) 7.35. 
E) 9.80.

Exam 11: Gravity,planetary Orbits,and the Hydrogen Atom

Which of the following,in which n and m have integer values,is a correct formula for a wavelength emitted by a hydrogen atom?

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 *107 m.If the radius of Roton is 5.0 * 106 m,what is the magnitude of the free-fall acceleration on the surface of Roton?

An energy of 13.6 eV is needed to ionize an electron from the ground state of a hydrogen atom.Selecting the longest wavelength that will work from the those given below,what wavelength is needed if a photon accomplishes this task?

The period of a satellite circling planet Nutron is observed to be 84 s when it is in a circular orbit with a radius of 8.0 * 106 m.What is the mass of planet Nutron?

Planet Roton has a mass of 4.0 *1023 kg and a radius of 2.0 *106 m.With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 * 106 m from the center of Roton?

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s). -Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses)on the mass at x = 0.40 m,y = 0?

A satellite revolves around the Earth in a circular orbit with a mechanical energy of −1012- 10 ^ { 12 }−1012 J.What is its kinetic energy?

A satellite is in a circular orbit about the Earth at an altitude at which air resistance is negligible.Which of the following statements is true?

At the moment of a total eclipse,the moon lies along a line from the Earth to the sun.If your normal weight is 600 N,how much is your weight decreased by the combined pull of the sun and moon? MSUN = 2.0 *1030 kg, rS-E = 1.5 * 108 km MMOON = 7.4 *1022 kg, rM-E = 3.8*105 km

The energy difference between the upper and lower levels in a certain laser is 1.9593 eV.What is the wavelength of the light emitted by the laser?

What is the magnitude of the free-fall acceleration at a point that is a distance 2R above the surface of the Earth,where R is the radius of the Earth?

The planet Venus requires 225 days to orbit the sun,which has a mass M = 1.99* 1030 kg,in an almost circular trajectory.Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R.What is the speed of the object just before striking the surface of the planet? Neglect any air resistance.Let h = 4.0*106 m,R = 5.0 *106 m,and M = 4.0 *1024 kg.

A 50-kg satellite circles planet Cruton every 5.6 h in an orbit with a radius of 12 * 106 m.What is the magnitude of the gravitational force on the satellite by planet Cruton?

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097*107 m - 1)

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom.Its wavelength is 656 nm.What value of n is associated with the light? (RH = 1.097 * 107 m - 1)

Isaac Newton was able to estimate a value for G,the universal gravitational constant,from the following data: the radius of the Earth is about 6 400 km,the average density of rocks is about 5.50 g/cm3,and g = 9.80 m/s2 near the surface of the Earth.What value did Newton obtain for G?

The period of oscillation of a near-Earth satellite (neglecting atmospheric effects)is 84.3 min.What is the period of a near-Moon satellite? (RE = 6.37 * 106 m;RM = 1.74 * 106 m;ME = 5.98 * 1024 kg;MM = 7.36 * 1022 kg. )

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Knowing that g=9.80ms2g = 9.80 \frac { \mathrm { m } } { \mathrm { s } ^ { 2 } }g=9.80s2m​ at sea level and that RE = 6.37 * 106 m,we find that the value of g in ms2\frac { \mathrm { m } } { \mathrm { s } ^ { 2 } }s2m​ at a distance RE from the surface of the Earth is

Introduction and Vectors

Motion in One Dimension

Motion in Two Dimensions

The Laws of Motion

More Applications of Newtons Laws

Energy of a System

Conservation of Energy

Momentum and Collisions

Relativity

Rotational Motion

Oscillatory Motion

Mechanical Waves

Superposition and Standing Waves

Fluid Mechanics

Temperature and the Kinetic Theory of Gases

Energy in Thermal Processes: the First Law of Thermodynamics

Heat Engines,entropy,and the Second Law of Thermodynamics

Electric Forces and Electric Fields

Electric Potential and Capacitance

Current and Direct Current Circuits

Magnetic Forces and Magnetic Fields

Faradays Law and Inductance

Electromagnetic Waves

Reflection and Refraction of Light

Image Formation by Mirrors and Lenses

Wave Optics

Quantum Physics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 10⁷ m.If the radius of Roton is 5.0 10⁶ m,what is the magnitude of the free-fall acceleration on the surface of Roton?

The period of a satellite circling planet Nutron is observed to be 84 s when it is in a circular orbit with a radius of 8.0 * 10⁶ m.What is the mass of planet Nutron?

Planet Roton has a mass of 4.0 10²³ kg and a radius of 2.0 10⁶ m.With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 * 10⁶ m from the center of Roton?

A satellite revolves around the Earth in a circular orbit with a mechanical energy of $- 10 ^ { 12 }$ J.What is its kinetic energy?

At the moment of a total eclipse,the moon lies along a line from the Earth to the sun.If your normal weight is 600 N,how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 10³⁰ kg, r_S-E = 1.5 10⁸ km M_MOON = 7.4 10²² kg, r_M-E = 3.810⁵ km

The planet Venus requires 225 days to orbit the sun,which has a mass M = 1.99* 10³⁰ kg,in an almost circular trajectory.Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R.What is the speed of the object just before striking the surface of the planet? Neglect any air resistance.Let h = 4.010⁶ m,R = 5.0 10⁶ m,and M = 4.0 *10²⁴ kg.

A 50-kg satellite circles planet Cruton every 5.6 h in an orbit with a radius of 12 * 10⁶ m.What is the magnitude of the gravitational force on the satellite by planet Cruton?

What value of wavelength is associated with the Lyman series for n = 2? (R_H = 1.097*10⁷ m ^- ¹)

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom.Its wavelength is 656 nm.What value of n is associated with the light? (R_H = 1.097 * 10⁷ m ^- ¹)

Isaac Newton was able to estimate a value for G,the universal gravitational constant,from the following data: the radius of the Earth is about 6 400 km,the average density of rocks is about 5.50 g/cm³,and g = 9.80 m/s² near the surface of the Earth.What value did Newton obtain for G?

The period of oscillation of a near-Earth satellite (neglecting atmospheric effects)is 84.3 min.What is the period of a near-Moon satellite? (R_E = 6.37 * 10⁶ m;R_M = 1.74 * 10⁶ m;M_E = 5.98 * 10²⁴ kg;M_M = 7.36 * 10²² kg. )

Knowing that $g = 9.80 \frac { \mathrm { m } } { \mathrm { s } ^ { 2 } }$ at sea level and that R_E = 6.37 * 10⁶ m,we find that the value of g in $\frac { \mathrm { m } } { \mathrm { s } ^ { 2 } }$ at a distance R_E from the surface of the Earth is