WBJEE · Physics · Work Power Energy
A cubical vessel of height \(1 \mathrm{~m}\) is full of water. What is the amount of work done in pumping water out of the vessel? (Take \(\mathrm{g}=\) \(10 \mathrm{~m} \mathrm{~s}^{-2}\) )
- A \(1250 \mathrm{~J}\)
- B \(5000 \mathrm{~J}\)
- C \(1000 \mathrm{~J}\)
- D \(2500 \mathrm{~J}\)
Answer & Solution
Correct Answer
(B) \(5000 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
Hints: \(\begin{aligned} & \mathrm{V}=\ell^3=1 \mathrm{~m}^3 \\ & \mathrm{~m}=1 \times 1000=1000 \mathrm{~kg} ; \mathrm{W}=\mathrm{mgh}=1000 \times 10 \times \frac{1}{2}=5000 \mathrm{~J} \end{aligned}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- An electron of charge \(e\) and mass \(m\) is moving in a circular of radius \(r\) with a uniform angular speed \(\omega .\) Then which of the following statements are correct?WBJEE 2013 Easy
- Three particles, each of mass ' \(m\) ' grams situated at the vertices of an equilateral \(\triangle A B C\) of side ' \(a\) ' \(\mathrm{cm}\) (as shown in the figure). The moment of inertia of the system about a line \(\mathrm{AX}\) perpendicular to \(\mathrm{AB}\) and in the plane of \(\mathrm{ABC}\) in \(\mathrm{g}-\mathrm{cm}^2\) units will be
WBJEE 2022 Hard - The specific heat \(C\) of a solid at low temperature shows temperature dependence according to the relation \(C=D T^{3}\), where \(D\) is a constant and \(T\) is the temperature is kelvin. A piece of this solid of mass \(m \mathrm{kg}\) is taken and its temperature is raised from \(20 \mathrm{K}\) to \(30 \mathrm{K}\). The amount of heat required in the process in energy units isWBJEE 2013 Medium
- A Zener diode having break down voltage \(\mathrm{Vz}=6 \mathrm{~V}\) is used in a voltage regulator circuit as shown in the figure. The minimum current required to pass through the Zener to act as a voltage regulator is \(10 \mathrm{~mA}\) and maximum allowed current through Zener is \(40 \mathrm{~mA}\). The maximum value of \(R_{\mathrm{s}}\) for Zener to act as a voltage regulator is
WBJEE 2022 Easy - A body of mass \(6 \mathrm{~kg}\) is acted upon by a force which causes a displacement in it given by \(x=\frac{t^2}{4}\) metre where \(t\) is the time in second. The work done by the force in 2 seconds isWBJEE 2011 Hard
- When a \(60 \mathrm{mH}\) inductor and a resistor are connected in series with an AC voltage source, the voltage leads the current by \(60^{\circ}\). If the inductor is replaced by a \(0.5 \mu \mathrm{F}\) capacitor, the voltage lags behind the current by \(30^{\circ} .\) What is the frequency of the AC supply?WBJEE 2019 Medium
More PYQs from WBJEE
- A bullet is fired with a velocity u making an angle of \(60^{\circ}\) with the horizontal plane. The horizontal component o the velocity of the bullet when it reaches the maximum height isWBJEE 2009 Medium
- The Entropy (S) of a black hole can be written as \(S=\beta k_B A\), where \(k_B\) is the Boltzmann constant and \(A\) is the area of the black hole. Then \(\beta\) has dimension ofWBJEE 2022 Medium
- The coefficient of \(x^n\) in the expansion of \(\frac{e^{7 x}+e^x}{e^{3 x}}\) isWBJEE 2011 Easy
- The shape of \(XeF_{5}^{-}\) will beWBJEE 2017 Easy
- The area of the region bounded by the curves \(y=x^{3}, y=\frac{1}{x}, x=2\) isWBJEE 2012 Easy
- An \(n \times n\) matrix is formed using 0,1 and -1 as its elements. The number of such matrices which are skew symmetric isWBJEE 2025 Hard