MHT CET · Physics · Gravitation
A body weighs \(300 \mathrm{~N}\) on the surface of the earth. How much will it weigh at a distance \(\frac{R}{2}\) below the surface of earth? ( \(\mathrm{R} \rightarrow\) Radius of earth)
- A \(300\ N\)
- B \(250\ N\)
- C \(200\ N\)
- D \(150\ N\)
Answer & Solution
Correct Answer
(D) \(150\ N\)
Step-by-step Solution
Detailed explanation
Acceleration due to gravity at depth \(\mathrm{d}\),
\(\begin{aligned}
\mathrm{g}_{\mathrm{d}} & =\mathrm{g}\left(1-\frac{\mathrm{d}}{\mathrm{R}}\right) \\
& =\mathrm{g}\left(1-\frac{1}{2}\right) \quad \because \mathrm{d}=\frac{\mathrm{R}}{2} \\
& =\frac{\mathrm{g}}{2}
\end{aligned}\)
\(\therefore \quad\) Weight of the body at depth \(\mathrm{d}_1\)
\(\mathrm{W}_{\mathrm{d}}=\mathrm{mg}_{\mathrm{d}}=300 \times \frac{1}{2}=150 \mathrm{~N}\)
\(\begin{aligned}
\mathrm{g}_{\mathrm{d}} & =\mathrm{g}\left(1-\frac{\mathrm{d}}{\mathrm{R}}\right) \\
& =\mathrm{g}\left(1-\frac{1}{2}\right) \quad \because \mathrm{d}=\frac{\mathrm{R}}{2} \\
& =\frac{\mathrm{g}}{2}
\end{aligned}\)
\(\therefore \quad\) Weight of the body at depth \(\mathrm{d}_1\)
\(\mathrm{W}_{\mathrm{d}}=\mathrm{mg}_{\mathrm{d}}=300 \times \frac{1}{2}=150 \mathrm{~N}\)
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
- A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will beMHT CET 2024 Medium
- The potential barrier in \(\mathrm{p}-\mathrm{n}\) junction diode is due toMHT CET 2024 Easy
- Two current carrying identical coils are kept as shown in figure. The magnetic field at centre ' \(O\) ' is ( \(N\) and \(R\) represent the number of turns and radius of each coil respectively, \(\mu_0=\) permeability of free space)
MHT CET 2025 Medium - Two particles A and B have equal charges but different masses \(\mathrm{M}_{\mathrm{A}}\) and \(\mathrm{M}_{\mathrm{B}}\). After being accelerated through same potential difference enter the region of uniform
magnetic field and describe the path of radii \(\mathrm{R}_{\mathrm{A}}\) and \(\mathrm{R}_{\mathrm{B}}\) respectively. Then \(\mathrm{M}_{\mathrm{A}}: \mathrm{M}_{\mathrm{B}}\)
isMHT CET 2020 Easy - In Young's double slit experiment, the fifth maximum with wavelength ' \(\lambda_1\) ' is at a distance ' \(\mathrm{y}_1\) ' and the same maximum with wavelength ' \(\lambda_2\) ' is at a distance ' \(y_2\) ' measured from the central bright band. Then \(\frac{y_1}{y_2}\) is equal to [D and \(d\) are constant]MHT CET 2023 Medium
- Which of the following is not the property of the photons?MHT CET 2008 Easy
More PYQs from MHT CET
- A problem in statistics is given to three students \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\). Their probabilities of solving the problem are \(\frac{1}{2}, \frac{1}{3}\) and \(\frac{1}{4}\) respectively, If all of them try independently, then the probability, that problem is solved, isMHT CET 2023 Medium
- A stone of mass 1 kg tied to a light inextensible string of length \(\mathrm{L}=\frac{5}{3} \mathrm{~m}\) is rotating in a circular path of radius L in a vertical plane. If the ratio of maximum tension in the string to the minimum tension in the string is 3 , the speed of the stone at the highest point of the circle is ( \(\mathrm{g}=\) acceleration due to gravity)MHT CET 2025 Medium
- If \(\tan ^{-1}(x+1)+\tan ^{-1} x+\tan ^{-1}(x-1)=\tan ^{-1} 3\), then for \(x < 0\) the value of \(500 x^4+270 x^2+997=\)MHT CET 2025 Medium
- Find the radius, of metal atom in bcc unit cell having edge length \(450 \mathrm{pm}\).MHT CET 2023 Medium
- What is the number of moles of water molecules required for complete hydrolysis of n mole triglyceride ?MHT CET 2025 Easy
- In the process of space communication, use of modem is necessary.
In which one of the following modes modem acts as a modulator and a demodulator respectively?MHT CET 2020 Easy