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71
What is the pressure at a depth h below the surface of the liquid when the container has vertical acceleration a?
Correct Option
Option B
Explanation
For upward acceleration a the effective gravitational field is g+a, so hydrostatic pressure at depth h is hρ(g+a).
72
Water coming out of the mouth of a tap and falling vertically in streamline flow forms a tapering column. At the mouth of the tap the area of cross section is 2.5 cm² and the speed of water is 3 m/s. The area of cross section of the water column 80 cm below the tap is (g = 10 m/s²):
Correct Option
Option B
Explanation
Speed increases by v² = v0² + 2gs: v = 5 m/s at 0.8 m below; continuity gives A = A0·v0/v = 2.5·3/5 = 1.5 cm².
73
A light year is the distance light travels in one year. How many meters are there in one light year?
Correct Option
Option A
Explanation
A light year is approximately 9.5 × 10^15 meters, so option B is the correct magnitude.
74
All of the following have been expressed in proper units except:
Correct Option
Option D
Explanation
Energy should be expressed as kg m2 s-2 (or Joule), so 'kg m-sec' is incorrect while the others are correct.
75
82. The SI unit of luminous intensity is
Correct Option
Option A
Explanation
The SI base unit of luminous intensity is the candela, defined as luminous intensity in a given direction of a source emitting monochromatic radiation.
76
Solids which break or rupture above the elastic limit are classified as
Correct Option
Option B
Explanation
As indicated in the OCR answer hint, the selected classification in the text is 'brittle' for solids that rupture above the elastic limit.
77
The only vector quantity out of following is
Correct Option
Option D
Explanation
The moment (angular momentum/torque) of a spinning body has direction as well as magnitude, so it is a vector, unlike the scalar quantities listed.
78
1 metre is equal to:
Correct Option
Option A
Explanation
OCR indicates option B (10^3 mm) as selected; 1 metre = 1000 mm (10^3 mm).
79
An empty balloon weighs 1 gm. The balloon is filled with water to the neck and tied with a massless thread; the weight of balloon along with water is 101 gm. The balloon filled with water is weighed when fully immersed. Then its weight in water is
Correct Option
Option A
Explanation
Apparent weight = actual weight − weight of displaced water; displaced water mass equals 100 g, so immersed weight = 101 − 100 = 1 g.
80
The S.I units of angular momentum are given by:
Correct Option
Option C
Explanation
Angular momentum has SI units equivalent to energy × time, i.e., joule-second (J·s), hence option C is correct.
