Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g / cm3. If the mass of the other is 48 g, its density in g / cm3 is
(a)$\frac{4}{3}$                                         (b) $\frac{3}{2}$
(c) 3                                           (d) 5

Concept Questions :-

Archimedes principle
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An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm3 of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm3
(a) 350 cm3                               (b) 300 cm3
(c) 250 cm3                               (d) 22 cm3

Concept Questions :-

Pressure
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A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is 1.5 gm/cc. The pressure difference between the point P and S will be

(a)                                  (b)

(c) Zero                                        (d) Infinity

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Pressure
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The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. Ratio of density of mercury to that of air is ${10}^{4}$. The height of the hill is
(a) 250 m                              (b) 2.5 km
(c) 1.25 km                            (d) 750 m

Concept Questions :-

Pressure
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Equal masses of water and a liquid of relative density 2 are mixed together, then the mixture has a density of
(a) 2/3                                 (b) 4/3
(c) 3/2                                  (d) 3

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A body of density ${\mathrm{d}}_{1}$ is counterpoised by Mg of weights of density ${\mathrm{d}}_{2}$ in air of density d. Then the true mass of the body is

(a) M                                    (b) $\mathrm{M}\left(1-\frac{\mathrm{d}}{{\mathrm{d}}_{2}}\right)$

(c) $\mathrm{M}\left(1-\frac{\mathrm{d}}{{\mathrm{d}}_{1}}\right)$                       (d) $\frac{\mathrm{M}\left(1-\mathrm{d}/{\mathrm{d}}_{2}\right)}{\left(1-\mathrm{d}/{\mathrm{d}}_{1}\right)}$

Concept Questions :-

Archimedes principle
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The value of g at a place decreases by 2%. The barometric height of mercury
(a) Increases by 2%
(b) Decreases by 2%
(c) Remains unchanged
(d) Sometimes increases and sometimes decreases

Concept Questions :-

Pressure
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A barometer kept in a stationary elevator reads 76 cm. If the elevator starts accelerating up, the reading will be
(a) Zero                                       (b) Equal to 76 cm
(c) More than 76 cm                     (d) Less than 76 cm

Concept Questions :-

Pressure
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A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is (i) maximum at, and (ii) minimum at

(a) (i) B (ii) D
(b) (i) C (ii) D
(c) (i) B (ii) C
(d) (i) B (ii) A

Concept Questions :-

Pressure
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A beaker containing a liquid is kept inside a big closed jar. If the air inside the jar is continuously pumped out, the pressure in the liquid near the bottom of the beaker will
1. Increase
2. Decrease
3. Remain constant
4. First decrease and then increase

Concept Questions :-

Pressure