Physics-
General
Easy

Question

In a U–tube, if different liquids are filled then we can say that pressure at same level of same liquid is same. In a U–tube 20 cm of a liquid of density rho is on left hand side and 10 cm of another liquid of density 1.5 rho is on right hand side. In between them there is a third liquid of density 2rho. What is the value of h

  1. 5 cm    
  2. 2.5 cm    
  3. 2 cm    
  4. 7.5 cm    

The correct answer is: 2.5 cm

Related Questions to study

General
Physics-

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent, Mass of cart M = 10 kg:The power supplied to the cart, when its velocity becomes 5 m/s, is equal to :

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent, Mass of cart M = 10 kg:The power supplied to the cart, when its velocity becomes 5 m/s, is equal to :

Physics-General
General
Physics-

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent, Mass of cart M = 10 kg: The time at which velocity of cart becomes 2m/s, is equal to:

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent, Mass of cart M = 10 kg: The time at which velocity of cart becomes 2m/s, is equal to:

Physics-General
General
Physics-

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent , Mass of cart M = 10 kg: In the above problem, what is the acceleration of cart at this instant –

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent , Mass of cart M = 10 kg: In the above problem, what is the acceleration of cart at this instant –

Physics-General
parallel
General
Physics-

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent, Mass of cart M = 10 kg: Velocity of cart at t = 10 s. is equal to:

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent, Mass of cart M = 10 kg: Velocity of cart at t = 10 s. is equal to:

Physics-General
General
Physics-

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent , Mass of cart M = 10 kg: Initially (t = 0) the force on the cart is equal to :

When jet of liquid strikes a fixed or moving surface, it exerts thrust on it due to rate of change of momentum. F equals open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript minus open parentheses rho A v subscript 0 end subscript close parentheses v subscript 0 end subscript c o s invisible function application theta equals rho A v subscript 0 end subscript superscript 2 end superscript left square bracket 1 minus c o s invisible function application theta right square bracket

If surface is free and starts moving due to thrust of liquid, then at any instant, the above equation gets modified based on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – F equals rho A open parentheses v subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket

Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :Given cross–section area of jet = 2 cross times 10 to the power of negative 4 end exponent m to the power of 2 end exponent velocity of jet v subscript 0 end subscript equals 10 m divided by s, density of liquid = 1000 k g divided by m to the power of 3 end exponent , Mass of cart M = 10 kg: Initially (t = 0) the force on the cart is equal to :

Physics-General
General
Physics-

Statement–I : For Reynold number R subscript e end subscript greater than 2000, the flow of fluid is turbulent
Statement–II : Inertial forces are dominant compared to the viscous forces at such high Reynold numbers

Statement–I : For Reynold number R subscript e end subscript greater than 2000, the flow of fluid is turbulent
Statement–II : Inertial forces are dominant compared to the viscous forces at such high Reynold numbers

Physics-General
parallel
General
Physics-

Statement–I : A parachute descends slowly whereas a stone dropped from same height falls rapidly
Statement–II : The viscous force of air on parachute is larger than that of on a falling stone

Statement–I : A parachute descends slowly whereas a stone dropped from same height falls rapidly
Statement–II : The viscous force of air on parachute is larger than that of on a falling stone

Physics-General
General
Maths-

In ABC ,AD is median, point F lies on AD such that fraction numerator A F over denominator F D end fraction equals fraction numerator 1 over denominator 5 end fraction, and A B & C Fintersect at E and BF and AC intersect at G.
If stack a with minus on top comma stack b with minus on top comma stack c with minus on topare position vectors of points A, B, C respectively such that stack a with minus on top comma stack b with minus on top comma stack c with minus on topare non-coplanar and if mid-point of AG lambda stack a with minus on top plus mu stack b with minus on top plus v stack c with minus on top, then the value of lambda plus mu plus v is

In ABC ,AD is median, point F lies on AD such that fraction numerator A F over denominator F D end fraction equals fraction numerator 1 over denominator 5 end fraction, and A B & C Fintersect at E and BF and AC intersect at G.
If stack a with minus on top comma stack b with minus on top comma stack c with minus on topare position vectors of points A, B, C respectively such that stack a with minus on top comma stack b with minus on top comma stack c with minus on topare non-coplanar and if mid-point of AG lambda stack a with minus on top plus mu stack b with minus on top plus v stack c with minus on top, then the value of lambda plus mu plus v is

Maths-General
General
Maths-

Statement-1: line L subscript 1 end subscriptis stack r with minus on top equals 20 left parenthesis i plus j minus k right parenthesis plus lambda left parenthesis i minus j right parenthesisline L subscript 2 end subscriptis stack r with minus on top equals 4 left parenthesis 4 i plus 3 j right parenthesis plus mu left parenthesis i plus j plus k right parenthesis line L is parallel to z-axis and intersects L subscript 1 end subscript and L subscript 2 end subscriptin the point A and B then AB=8
Statement-2 : stack r with minus on top equals stack a subscript 1 end subscript with bar on top plus lambda stack m subscript 1 end subscript with bar on top text  and  end text stack r with minus on top equals stack a subscript 2 end subscript with bar on top plus lambda stack m subscript 2 end subscript with bar on topare two skew lines then there exists a unique line L parallel to m subscript 3 end subscriptsuch that line L intersects the given skew lines where stack m subscript 1 end subscript with bar on top comma stack m subscript 2 end subscript with bar on top comma stack m subscript 3 end subscript with bar on topare pair wise linearly independent

Statement-1: line L subscript 1 end subscriptis stack r with minus on top equals 20 left parenthesis i plus j minus k right parenthesis plus lambda left parenthesis i minus j right parenthesisline L subscript 2 end subscriptis stack r with minus on top equals 4 left parenthesis 4 i plus 3 j right parenthesis plus mu left parenthesis i plus j plus k right parenthesis line L is parallel to z-axis and intersects L subscript 1 end subscript and L subscript 2 end subscriptin the point A and B then AB=8
Statement-2 : stack r with minus on top equals stack a subscript 1 end subscript with bar on top plus lambda stack m subscript 1 end subscript with bar on top text  and  end text stack r with minus on top equals stack a subscript 2 end subscript with bar on top plus lambda stack m subscript 2 end subscript with bar on topare two skew lines then there exists a unique line L parallel to m subscript 3 end subscriptsuch that line L intersects the given skew lines where stack m subscript 1 end subscript with bar on top comma stack m subscript 2 end subscript with bar on top comma stack m subscript 3 end subscript with bar on topare pair wise linearly independent

Maths-General
parallel
General
Maths-

Assertion (A) : If stack a with minus on top equals 2 i plus stack k with minus on top comma stack b with minus on top equals 3 j plus 4 k text end textand stack c with minus on top equals 8 i minus 3 jare coplanar then stack c with minus on top equals 4 stack a with minus on top minus stack b with minus on top
Reason (R) : A set of vectors a1, a2, a3.an is said to be linearly dependent if for some relation of the form l subscript 1 end subscript a subscript 1 end subscript plus l subscript 2 end subscript stack a with minus on top subscript 2 end subscript plus l horizontal ellipsis horizontal ellipsis. plus 1 subscript n end subscript stack a with minus on top subscript n end subscript equals stack 0 with bar on topimplies at least one of the scalars li (i = 1,2.n) is not zero

Assertion (A) : If stack a with minus on top equals 2 i plus stack k with minus on top comma stack b with minus on top equals 3 j plus 4 k text end textand stack c with minus on top equals 8 i minus 3 jare coplanar then stack c with minus on top equals 4 stack a with minus on top minus stack b with minus on top
Reason (R) : A set of vectors a1, a2, a3.an is said to be linearly dependent if for some relation of the form l subscript 1 end subscript a subscript 1 end subscript plus l subscript 2 end subscript stack a with minus on top subscript 2 end subscript plus l horizontal ellipsis horizontal ellipsis. plus 1 subscript n end subscript stack a with minus on top subscript n end subscript equals stack 0 with bar on topimplies at least one of the scalars li (i = 1,2.n) is not zero

Maths-General
General
Maths-

Let stack a with rightwards arrow on top equals stack i with hat on top plus stack j with hat on top plus 2 stack k with hat on top text end textand stack b with rightwards arrow on top equals 2 stack i with hat on top minus stack j with hat on top minus stack k with hat on top. Then the point of intersection of the
lines stack r with rightwards arrow on top cross times stack a with rightwards arrow on top equals stack b with rightwards arrow on top cross times stack a with rightwards arrow on top and stack r with rightwards arrow on top cross times stack b with rightwards arrow on top equals stack a with rightwards arrow on top cross times stack b with rightwards arrow on topis

Let stack a with rightwards arrow on top equals stack i with hat on top plus stack j with hat on top plus 2 stack k with hat on top text end textand stack b with rightwards arrow on top equals 2 stack i with hat on top minus stack j with hat on top minus stack k with hat on top. Then the point of intersection of the
lines stack r with rightwards arrow on top cross times stack a with rightwards arrow on top equals stack b with rightwards arrow on top cross times stack a with rightwards arrow on top and stack r with rightwards arrow on top cross times stack b with rightwards arrow on top equals stack a with rightwards arrow on top cross times stack b with rightwards arrow on topis

Maths-General
General
Maths-

The length of the projection of the line segment joining the points A (1,2,5) and B (4,7,3) on the line whose direction ratios are 6,2,3 is

The length of the projection of the line segment joining the points A (1,2,5) and B (4,7,3) on the line whose direction ratios are 6,2,3 is

Maths-General
parallel
General
Maths-

If the four plane focus of a tetrahedron are represented by the equation lx + my = 0, my + nz = 0, nz + px = 0, and lx + my + nz = p , then the volume of the tetrahedron are

If the four plane focus of a tetrahedron are represented by the equation lx + my = 0, my + nz = 0, nz + px = 0, and lx + my + nz = p , then the volume of the tetrahedron are

Maths-General
General
Maths-

If stack a with minus on topand stack b with minus on topare two unit vectors and ϕis the angle between them, then fraction numerator 1 over denominator 2 end fraction vertical line stack a with minus on top minus stack b with minus on top vertical lineis equal to

If stack a with minus on topand stack b with minus on topare two unit vectors and ϕis the angle between them, then fraction numerator 1 over denominator 2 end fraction vertical line stack a with minus on top minus stack b with minus on top vertical lineis equal to

Maths-General
General
Maths-

Statement-1:The area of the triangle formed by the points A(20,22) ;B(21,24) and C(22,23) is the same as the area of the triangle formed by the point P(0,0) ;Q(1,2) and R(2,1) . Because
Statement-2: The area of the triangle is invariant w.r.t translation of the coordinate axes.

Statement-1:The area of the triangle formed by the points A(20,22) ;B(21,24) and C(22,23) is the same as the area of the triangle formed by the point P(0,0) ;Q(1,2) and R(2,1) . Because
Statement-2: The area of the triangle is invariant w.r.t translation of the coordinate axes.

Maths-General
parallel

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