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Physics Chapter 6 : Topic 7
Bernoulli’s Equation
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Bernoulli’s equation is based on the principle of conservation of:
Reasoning: Bernoulli’s equation represents conservation of energy in a moving fluid.
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Bernoulli’s equation applies to:
Reasoning: It applies to steady, incompressible and non-viscous fluid flow.
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The general form of Bernoulli’s equation is:
Reasoning: It relates pressure, kinetic and potential energy per unit volume.
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In Bernoulli’s equation, the term $\mathbf{(P)}$ represents:
Reasoning: Pressure contributes energy due to fluid pressure.
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The term $\mathbf{\rho gh\ }$represents:
Reasoning: It depends on height in a gravitational field.
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The term $\frac{\mathbf{1}}{\mathbf{2}}\mathbf{\rho}\mathbf{v}^{\mathbf{2}}$ in Bernoulli’s equation represents:
Reasoning: It depends on fluid velocity and density.
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According to Bernoulli’s principle, when fluid velocity increases, pressure:
Reasoning: Higher kinetic energy means lower pressure energy.
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In a narrow pipe section, fluid pressure is usually:
Reasoning: Narrow areas have greater velocity, reducing pressure.
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Water flowing through a nozzle has high velocity because:
Reasoning: Bernoulli’s equation shows energy conversion.
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If the speed of a fluid increases, which quantity decreases?
Reasoning: Energy conservation causes pressure reduction.
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For horizontal flow, Bernoulli’s equation becomes:
Reasoning: Height remains constant, so potential energy term cancels.
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In a horizontal pipe, if velocity increases, pressure:
Reasoning: Pressure energy converts into kinetic energy.
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When water enters a narrow section of a horizontal pipe:
Reasoning: Continuity increases velocity; Bernoulli decreases pressure.
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A Venturi tube works on:
Reasoning: It uses pressure differences caused by velocity changes.
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A fluid moving slowly in a wide pipe has:
Reasoning: Lower velocity corresponds to higher pressure.
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In vertical fluid flow, Bernoulli’s equation includes:
Reasoning: Gravitational potential energy depends on height.
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When fluid moves upward in a pipe, some energy is used to increase:
Reasoning: Energy converts into gravitational potential energy.
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Water flowing upward to a higher point generally has:
Reasoning: Height increases gravitational potential energy.
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In a vertical pipe, if height increases while velocity remains constant, pressure:
Reasoning: Energy is used against gravity.
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A waterfall demonstrates conversion of:
Reasoning: Falling water converts gravitational energy into motion.
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Water flows horizontally with velocity $\mathbf{4\ m/s}$. If velocity increases to $\mathbf{8\ m/s}$, kinetic energy per unit volume becomes:
Reasoning: $\mathbf{K\ .E =}$ $\frac{\mathbf{1}}{\mathbf{2}}\mathbf{\rho}\mathbf{v}^{\mathbf{2}}$ Velocity doubles, energy becomes four times.
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A fluid velocity changes from $\mathbf{2\ m/s}$ to $\mathbf{4\ m/s}$. The change in kineticenergy per unit volume is:
Reasoning: Kinetic energy depends on square of velocity.
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A water pipe has pressure $\mathbf{5000\ Pa}$ and velocity increases. According to Bernoulli’s principle, pressure may become:
Reasoning: Increased velocity reduces pressure.
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For two points in a horizontal pipe: $\mathbf{P}_{\mathbf{1}}\mathbf{\ +}$ $\frac{\mathbf{1}}{\mathbf{2}}\mathbf{\ \rho}\mathbf{v}_{\mathbf{1}}^{\mathbf{2}}\mathbf{\ = \ }\mathbf{P}_{\mathbf{2}}\mathbf{\ +}$ $\frac{\mathbf{1}}{\mathbf{2}}\mathbf{\ \rho}\mathbf{v}_{\mathbf{2}}^{\mathbf{2}}$. If $\mathbf{v}_{\mathbf{2}}\mathbf{>}\mathbf{v}_{\mathbf{1}}\mathbf{\ }$, then:
Reasoning: Higher speed means lower pressure.
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Water rises in a fountain because:
Reasoning: Pressure energy produces fluid motion.
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The lift force on an airplane wing is explained using:
Reasoning: Different air speeds create pressure differences.
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A perfume spray works because:
Reasoning: Lower pressure draws liquid upward.
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A roof may be lifted during strong winds because:
Reasoning: Higher air speed creates lower pressure.
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A carburetor uses Bernoulli’s principle to:
Reasoning: Low pressure created by fast-moving air draws fuel.
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The main assumption of Bernoulli’s equation is that fluid is:
Reasoning: Bernoulli’s equation assumes steady, incompressible, non-viscous flow.
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If both velocity and height increase along a streamline, pressure must:
Reasoning: Energy is used for kinetic and potential energy increases.
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Bernoulli’s equation cannot be applied accurately when:
Reasoning: Viscosity causes energy loss.
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In a horizontal pipe, the sum of pressure energy and kinetic energy:
Reasoning: Bernoulli conservation applies.
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When a fluid speeds up, energy conversion occurs from:
Reasoning: Higher velocity requires kinetic energy increase.
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A narrow tube connected to a wider tube has lower pressure at the narrow part because:
Reasoning: Bernoulli relates high velocity with low pressure.
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Bernoulli’s equation represents conservation of:
Reasoning: Pressure, kinetic & potential energies remain constant along streamline.
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