Question 11 : What would be the duration of the year if the distance between the earth and the sun gets doubled?
1. 129 days
2. 365 days
3. 1032 days
4. 730 days
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Question 12 : The escape velocity from earth is 11.2 km per sec. If a body is to be projected in a direction making an angle 45° to the vertical, then the escape velocity is
1. 11.2 km/sec
2. 11.2 * 2 km/sec
3. 7.7 km/sec
4. 12.81 km/sec
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Question 13 : Who among the following first gave the experimental velocity of G?
1. Copernicus
2. none of these
3. Cavendish
4. Brook Taylor
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Question 14 : Geo-stationary satellite
1. has a time period less than that of the earth's satellite
2. revolves about the polar axis
3. is stationary in the space
4. moves faster than a near earth satellite
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Question 15 : The escape velocity from the earth's surface is 11 km/sec. A certain planet has a radius twice that of the earth but its mean density is the same as that of the earth. The value of the escape velocity from this planet would be
1. 11 km/sec
2. 16.5 km/sec
3. 5.5 km/sec
4. 22 km/sec
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Question 16 : The mean radius of the earth is R, its angular speed on its own axis is w and the acceleration due to gravity at earth's surface is g. The cube of the radius of the orbit of a geo-stationary satellite will be
1. R²w² / g
2. r2g / w
3. R²g / w²
4. RG w²
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Question 17 : A satellite is revolving around the sun in a circular orbit with uniform velocity v. If the gravitational force suddenly disappears, the velocity of the satellite will be
1. v
2. zero
3. infinity
4. 2v
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Question 18 : If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would
1. decrease by 2%
2. increase by 2%
3. will increase by 9.8%
4. remain unchanged
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Question 19 : If the change in the value of g at the height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)
1. x = 2 h
2. x = h
3. x = h²
4. x = h/2
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Question 20 : The value of 'g' at a particular point is 9.8 m/sec2 suppose the earth suddenly shrink uniformly to half its present size without losing any mass. The value of 'g at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will become
1. 19.6 m/sec²
2. 4.9 m/sec²
3. 9.8 m/sec²
4. 2.45 m/sec²
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