Gravitational Field
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The acceleration due to gravity at the surface of a planet depends on the _________ and the ________ of the planet.
[Where R is radius of earth and g is the acceleration due to gravity at earth’s surface]
पृथ्वी की सतह से ऊँचाई h=R4 पर गुरुत्वीय त्वरण का मान है
[जहाँ R पृथ्वी की त्रिज्या है तथा g पृथ्वी की सतह पर गुरुत्वीय त्वरण है]
- 4g5
- g4
- g
- 16g25
The density inside a solid sphere of radius a is given by ρ =ρ0a/r where ρ0 is the density at the surface and r denotes the distance from the centre. The gravitational field due to this sphere at a distance 2a form its centre is..
32πGρ0a
14πGρ0a
πGρ0a
12πGρ0a
- 5.5 m
- 6 m
- 1.5 m
- 3 m
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।
A : Electric force between two point charges are conservative in nature.
A : दो बिन्दु आवेशों के मध्य विद्युत बल संरक्षी प्रकृति के होते हैं।
R : Direction of electric force between two point charges are independent of nature of charges.
R : दो बिन्दु आवेशों के मध्य विद्युत बल की दिशा, आवेशों की प्रकृति पर निर्भर नहीं करती है।
- Both (A) and (R) are true and (R) is the correct explanation of (A)
(A) तथा (R) दोनों सही हैं तथा (R), (A) का सही स्पष्टीकरण है - Both (A) and (R) are true but (R) is not the correct explanation of (A)
(A) तथा (R) दोनों सही हैं लेकिन (R), (A) का सही स्पष्टीकरण नहीं है - (A) is true but (R) is false
(A) सही है लेकिन (R) गलत है - (A) is false but (R) is true
(A) गलत है लेकिन (R) सही है
- Ax(x2+a2)32
- 2Ax(x2+a2)32
- 4Ax(x2+a2)32
- 8Ax(x2+a2)32
If there were a smaller gravitational effect, which of the following forces do you think would alter in some respect
Viscous forces
Archimedes uplift
Electrostatic force
None of the above
A uniform ring of mass m is lying at a distance 1.73 a from the centre of a sphere of mass M just over the sphere where a is the small radius of the ring as well as that of the sphere. Then gravitational
force exerted is
Gmm8a2
Gmm(1.73a)2
√3Gmma2
1.73Gmm8a2
A geostationary satellite
Revolves about the polar axis
Has a time period less than that of the near earth satellite
Moves faster than a near earth satellite
Is stationary in the space
किसी मीनार के शीर्ष से गिरायी गई एक वस्तु 12 s में मीनार के आधार तक पहुँचती है। मीनार की ऊँचाई है
- 60 m
- 420 m
- 720 m
- 800 m
A solid sphere of uniform density and radius 4 units is located with its centre at the origin O. Two spheres of equal radii 1 unit, with their centres at A (- 2, 0, 0) and B (2, 0, 0) respectively are taken out of the solid leaving behind spherical cavities as shown in the figure. Then choose the incorrect statement.
The gravitational force due to this object at the origin is zero.
The gravitational force at point B (2, 0, 0) is zero.
The gravitational potential is the same at all points of the circle y2+z2=36.
The gravitational potential is the same at all points of the circle y2+z2=4.
A uniform sphere of mass M and radius R exerts a force F on a small mass m situated at a distance of 2R from the centre O of the sphere. A spherical portion of diameter R is cut from the sphere as shown in the figure. The force of attraction between the remaining part of the sphere and the mass m will be
7F9
2F3
4F9
F3
A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at P, distance 2R from the centre O of the sphere. A spherical cavity of radius R/2 is now made in the sphere as shown in figure. The sphere with cavity now applies a gravitational force F2 on same particle placed at P. The ratio F2F1 will be
12
79
3
7
- VA=VB and |→EA|>|→EB|
- VA<VB and |→EA|=|→EB|
- VA=VB and |→EA|=|→EB|
- VA>VB and |→EA|<|→EB|
- 19 m
- 110 m
- 111 m
- 911 m
- VA=VB and |→EA|>|→EB|
- VA<VB and |→EA|=|→EB|
- VA=VB and |→EA|=|→EB|
- VA>VB and |→EA|<|→EB|
- −√32GML
- −√64GML2
- Zero
- √32GML
- −3K2x2
- −K3x2
- −2K3x2
- K2x2
There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero
19m
110m
111m
1011m