In the arrangement as shown, `m_(B)=3m`, density of liquid is `rho` and density of block `B` is `2rho`. The system is released from rest so that block `B` moves up when in liquid and moves down when out of liquid with the same acceleration. Find the mass of block `A`. A. `(7)/(4)m`B. `2m`C. `(9)/(2)m`D. `(9)/(4)m`

In the arrangement as shown, `m_(B)=3m`, density of liquid is `rho` an

1.	In the arrangement as shown, `m_(B)=3m`, density of liquid is `rho` and density of block `B` is `2rho`. The system is released from rest so that block `B` moves up when in liquid and moves down when out of liquid with the same acceleration. Find the mass of block `A`. A. `(7)/(4)m`B. `2m`C. `(9)/(2)m`D. `(9)/(4)m`
Answer» Correct Answer - D Acceleration when block B is in the liquid. `a_(1)=(m_(A)g-(m_(B)g-"upthrust"))/((m_(A)+3m))` `=(m_(A)g-(3mg-(3m)/(2rho)pig))/((m_(A)+3m))(uarr)` Acceleration when block B is outside of the liquid. `a_(2)=(3mg-m_(A)g)/((m_(A)+3m))(darr)` give, `a_(1)=a_(2)` `m_(A)g=(3)/(2)mg=3mg-m_(A)g` `2m_(A)g=(9)/(2)mg,m_(A)=((9)/(4))m`

Discussion

No Comment Found

Related InterviewSolutions

Statement 1 is false, statement 2 is true. Statement-1: The speed of liquid coming out of the orifice is independent of the nature and quality of liquid in the container.A. Statement-I is true, statement-2 true and statements-2 is a correct explanation for statements-5B. Statement 1 is true, statement 2 is true, statement-2 is not a correct explanation for statement 5C. Statement 1 is true, statement 2 is falseD. Statement 1 is false, statement 2 is true
Statement-1 : When an orifice is made in the middle of the wall of a vessel, the range of the liquid coming out of the orifice is equal to the height of the liquid. Statement-2 : Liquid is flowing through two identical pipes A and B. Volume of liquid flowing per second through A and B are `v_(0) and 2v_(0)` respectively. Flow in A is turbulent and steady in B. Statement-3 : Rate of flow of a viscous liquid through a pipe is directly proportional to he fourth power of the radius of pipe.A. T T TB. T T FC. F F TD. F T T
Statement-1 : Bernoullis equation is based on energy conservation. Statement-2 : Bernoullis equation can only be applied if the flow is streamlined. Statement-3 : Bernoullies equation can be applied evern if the flow is not streamlined as total energy is always conserved.A. T T TB. T F TC. T T FD. F F F
An ideal fluid flows through a pipe of circular cross-section made of two sections with diameters `2.5 cm` and `3.75 cm`. The ratio of the velocities in the two pipes isA. `9:4`B. `3:2`C. `sqrt(3):sqrt(2)`D. `sqrt(2):sqrt(3)`
The angle of contact between glass and water is `0^@` and surface tension is `70 dyn//cm`. Water rises in a glass capillary up to `6 cm`. Another liquid of surface tension `140 dyn//cm`, angle of contact `60^@` and relative density `2` will rise in the same capillary up toA. 12 cmB. 24 cmC. 3 cmD. 6 cm
The potential energy of the liquid of surface tension `T` and density `rho` that rises into the capillary tube isA. `pi^(2)T^(2)rho^(2)g`B. `4piT^(2)rho^(2)g`C. `(2piT^(2))/(rhog)`D. `(piT^(2))/(rhog)`
The radii of the two columne is U-tube are `r_(1)` and `r_(2)(gtr_(1))`. When a liquid of density `rho` (angle of contact is `0^@))` is filled in it, the level different of liquid in two arms is h. The surface tension of liquid is `(g=` acceleration due to gravity)A. `(rhoghr_(1)r_(2))/(2(r_(2)-r_(1))`B. `(rhogh(r_(2)-r_(1)))/(2r_(2)r_(1))`C. `(2(r_(1)-r_(2)))/(rhoghr_(2)r_(1))`D. `(2(r_(1)-r_(2)))/(rhogh)`
The radii of the two columne is U-tube are `r_(1)` and `r_(2)(gtr_(1))`. When a liquid of density `rho` (angle of contact is `0^@))` is filled in it, the level different of liquid in two arms is h. The surface tension of liquid is `(g=` acceleration due to gravity)A. `(rhoghr_(1)r_(2))/(2(r_(2)-r_(1)))`B. `(rhogh(r_(1)-r_(2)))/(2r_(1)r_(2))`C. `(2(r_(2)-r_(1)))/(rhoghr_(1)r_(2))`D. `(rhogh)/(2(r_(2)-r_(1)))`
A spherical ball of radius `3.0xx10^(-4)` m and density `10^(4)(kg)/(m^(3))` falls freely under gravity through a distance `H=nxx500m` before entering a tank of water. If after enerting the water the velocity of the ball does not change, then find n. viscosity of water is `10xx10^(-6)(N-s)/(m^(2))`,`g=10(m)/(s)`
The two thigh bones (femur bones) each of cross-sectional area `10 cm^(2)` support the upper part of a human body of mass 40 kg . Estimate the average pressure sustained by the femurs. `g=10m//s^(2)`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment