Answer

Verified

393.9k+ views

**Hint:**Here, the bread gives an energy of \[21kJ\] to the boy. The efficiency of the boy is given in the question. Using the above two values can find out the efficient energy. The boy uses this energy to climb a height \[h\], which is equal to the potential energy at a height \[h\]. We know that potential energy is related to mass, acceleration due to gravity and height. Therefore, by finding the potential energy we can find out the height.

**Complete answer:**

Given,

Efficiency of boy, \[\eta =28\%\]

Energy of one bread, \[E=21kJ=21000J\]

We have,

Efficient energy, \[{{E}_{efficient}}=E\times \eta \]

Substituting the values in the above equation we get,

The energy consumed by boy is \[{{E}_{efficient}}=\dfrac{28}{100}\times 21000=5880J\] ---------1

To climb a height \[h\] the boy utilizes potential energy, \[P.E=mgh\]

Where,

\[m\]is the mass of the boy

\[g\] is the acceleration due to gravity

Given,

Substituting the values of\[\text{m and g}\]in the above equation, we get,

\[P.E=40\times 10\times h=400h\] -------- 2

The efficient energy is utilized in giving potential energy.

Then,

\[{{E}_{efficient}}=mgh\]

Equating equation 1 and 2, we get,

\[5880=400h\]

\[h=\dfrac{5880}{400}=14.7m\]

**Therefore, the answer is option B.**

**Note:**

A method of reducing energy consumption by using less energy input to attain the same amount of useful output is known as efficiency. Efficiency can be determined quantitatively by the ratio of useful output to the total input. The ratio of energy transferred in a useful form compared to the total energy supplied is called the efficiency of a device. It is denoted by \[\eta \]. It has no unit.

\[\text{ }\!\!\eta\!\!\text{ =}\dfrac{\text{Work output}}{\text{Work input}}\times 100\%\]

Recently Updated Pages

The speed of light in vacuum is equal to Amu ovarepsilon class 10 physics CBSE

A virtual image twice as big as the object is formed class 10 physics CBSE

In which order the colour spectrum VIBGYOR appeared class 10 physics CBSE

Which of the following terms is not associated with class 10 physics CBSE

Select from the following the best setup for tracing class 10 physics CBSE

State the law of combination of resistances in par class 10 physics CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail

Name 10 Living and Non living things class 9 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths