NEET EXAM ( EM ) ONLINE TEST - 4

1.

Two bodies are thrown from the same point with the same speed of 50ms−150ms−1. If their angles of projection are complimentary to each other and the difference of maximum heights is 30m, the maximum heights are (g=10m/s2)(g=10m/s2)

50m and 80m

47.5 m and 77.5 m

30 m and 60m

25 m and 55 m

2.

A man and a cart move towards each other. The man weighs 64kg and the cart 32kg. The velocity of the man is 5.4 km/hr and that of the cart is 1.8 km/hr. When the man approaches the cart, he jumps on to it. The velocity of the cart carrying the man will be

3km/hr

30 km/ hr

1.8 km/hr

zero

3.

A 2kg box sits on a 3kg box which sits on a 5 kg box. The 5kg box rests on a table top. What is the normal force exerted by the 5kg box on the 3kg box (take g = 9.8ms-2)?

19.6 N

29.4N

49N

98 N

4.

A body of mass 2kg is at rest. A force of (4i^+3j^−5k^)N(4i^+3j^−5k^)N acts on it and displaces through (2i^+j^+2k^)m(2i^+j^+2k^)m. The velocity acquired by the body is

0

1ms−11ms−1

2ms−12ms−1

1/2ms−11/2ms−1

5.

A ball of mass ‘m’ at rest receives an impulse I1I1 in the direction of north. After some time it received another impulse I2I2 in the direction of south. The final kinetic energy of the ball is

(I1+I2)22m(I1+I2)22m

(I1−I2)22m(I1−I2)22m

I21+I222mI12+I222m

I21−I222mI12−I222m

6.

A wire suspended from one end carries a sphere at its other end. The elongation in the wire reduces from 2mm to 1.6 mm on completely immersing the sphere in water. The density of the material of the sphere is

3200kg/m33200kg/m3

800kg/m3800kg/m3

1250kg/m31250kg/m3

5000kg/m35000kg/m3

7.

A vessel has a small hole at its bottom. If water can be poured into it upto a height of 7cm without leakage (g=10ms−2)(g=10ms−2), the radius of the hole is (surface tension of water is 0.07Nm−10.07Nm−1)

1.2 mm

0.2 mm

0.1 mm

0.4 mm

8.

Air is streaming past a horizontal aeroplane wing such that its speed is 120ms−1120ms−1at the upper surface and 90ms−190ms−1at the lower surface. If the wing is 10m long and 2m wide and density of air is 1.3kgm−3kgm−3, the gross lift on it will be (in newton)

81.9

8.19

4.095×1044.095×104

8.19×1048.19×104

9.

A wire of length 60 cm is bent into a circle with a gap of 1cm at its ends. On heating it by 100∘C100∘C, the length of the gap increases to 1.02 cm. The coefficient of linear expansion αα of material of wire is

2×10−4/∘C2×10−4/∘C

4×10−4/∘C4×10−4/∘C

6×10−4/∘C6×10−4/∘C

1×10−4/∘C1×10−4/∘C

10.

A thin square plate of mass m has the length of each of its side as ll. Find the moment of inertia of the thin square plate when it is rotating about an axis passing through one of the corners and perpendicular to its plane

ml23ml23

43ml243ml2

2ml232ml23

53ml253ml2

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