CBSE (UGC) NET Paper 1 Questions (Part 1 of 30)

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  1. If the speed of light (3 × 108 m/s) and the mean radius of the earth (6 × 103 km) are taken to be the units of speed and length respectively, then the value of the new unit of acceleration expressed in m/s2 will be

    1. 1.5 × 1010

    2. 50

    3. 0.02

    4. 1.2 × 105

  2. The minimum number of multiplications required to evaluate the expression a + bx + cx2 + dx3 + ex4 is

    1. 4

    2. 5

    3. 3

    4. 7

  3. Consider the function f (x) = x (1 + x) for x = 1, 1 The function

    1. attains minima at x = ½ and-½

    2. is discontinuous in the given interval

    3. is negative at a few points in the given interval

    4. has a maximum at x = ½

  4. Which of the following distributions has the smallest variance?

  5. One way to determine whether a number (n) is prime or not is to divide it by numbers less than itself. The number of divisions required is

    1. n/2

    2. n ½ and ½ 1

    3. 2n

    4. less than n

  6. The angular velocity vector of the Earth's rotation points

    1. from east to west

    2. from west to east

    3. from north to south

    4. from south to north

  7. The top of a mountain is at an elevation of 45½ from one bank of a river and at an elevation of 60½ from the other bank. If the river has a width of 1 km, what is the height [in km] of the mountain?

    1. ½

    2. 3

    3. 3/1 + 3

    4. sqrt (3) + 1

  8. On a cold day, a copper vessel feels colder to touch than a glass bowl. What is the reason for this?

    1. Glass does not cool down as easily as copper does

    2. Glass is a poor conductor of heat compared to copper

    3. The specific heat of glass is higher than that of copper

    4. Glass radiates more heat than copper does

  9. If the distance between two bodies of masses m1 and m2 is doubled, the gravitational force between them

    1. doubles

    2. halves

    3. becomes one-fourth

    4. remains the same

  10. A cricket ball and a football are dropped simultaneously from the top of Qutub Minar Which of the following best describes their subsequent behaviour?

    1. They touch the ground at the same instant

    2. They touch the ground with the same velocity

    3. The cricket ball reaches before the football

    4. The football reaches before the cricket ball

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