163990
At what height the value of ' \(g\) ' is half that on the surface :
1 \(R\)
2 \(2 R\)
3 \(0.414 \mathrm{R}\)
4 None of these
Explanation:
\( \frac{g^{\prime}}{g}=\frac{R^2}{(R+h)^2} \) \( \therefore \frac{1}{2}=\frac{R^2}{(R+h)^2} \Rightarrow \frac{1}{\sqrt{2}}=\frac{R}{R+h} \) \( R+h=\sqrt{2} R \Rightarrow h=(\sqrt{2}-1) R . \) \( h =0.414 R \)
NCERT-XI- I -133
5 RBTS PAPER
163991
If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is :
1 \(M / 6\)
2 Zero
3 \(\mathrm{M}\)
4 None of these
Explanation:
Mass does not vary from place to place.
Modified NLI Expert
5 RBTS PAPER
163992
An object weights \(72 \mathrm{~N}\) on earth. Its weight at a height of \(R / 2\) from earth is :
1 \(32 \mathrm{~N}\)
2 \(56 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 Zero
Explanation:
\( g^{\prime} =g\left(\frac{R}{R+h}\right)^2=g\left(\frac{R}{R+\frac{R}{2}}\right)=\frac{4}{9} g \) \( \therefore \quad W =\frac{4}{9} \times W=\frac{4}{9} \times 72=32 N \)
NCERT-XI- I -133
5 RBTS PAPER
163993
Three equal masses of \(\mathrm{m} \mathrm{kg}\) each are fixed at the vertices of an equilateral triangle \(A B C\). What is the force acting on a mass \(2 \mathrm{~m} \mathrm{~kg}\) placed at the centroid \(\mathbf{G}\) of the triangle? Take AG = BG = CG = \(1 \mathrm{~m}\)
163990
At what height the value of ' \(g\) ' is half that on the surface :
1 \(R\)
2 \(2 R\)
3 \(0.414 \mathrm{R}\)
4 None of these
Explanation:
\( \frac{g^{\prime}}{g}=\frac{R^2}{(R+h)^2} \) \( \therefore \frac{1}{2}=\frac{R^2}{(R+h)^2} \Rightarrow \frac{1}{\sqrt{2}}=\frac{R}{R+h} \) \( R+h=\sqrt{2} R \Rightarrow h=(\sqrt{2}-1) R . \) \( h =0.414 R \)
NCERT-XI- I -133
5 RBTS PAPER
163991
If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is :
1 \(M / 6\)
2 Zero
3 \(\mathrm{M}\)
4 None of these
Explanation:
Mass does not vary from place to place.
Modified NLI Expert
5 RBTS PAPER
163992
An object weights \(72 \mathrm{~N}\) on earth. Its weight at a height of \(R / 2\) from earth is :
1 \(32 \mathrm{~N}\)
2 \(56 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 Zero
Explanation:
\( g^{\prime} =g\left(\frac{R}{R+h}\right)^2=g\left(\frac{R}{R+\frac{R}{2}}\right)=\frac{4}{9} g \) \( \therefore \quad W =\frac{4}{9} \times W=\frac{4}{9} \times 72=32 N \)
NCERT-XI- I -133
5 RBTS PAPER
163993
Three equal masses of \(\mathrm{m} \mathrm{kg}\) each are fixed at the vertices of an equilateral triangle \(A B C\). What is the force acting on a mass \(2 \mathrm{~m} \mathrm{~kg}\) placed at the centroid \(\mathbf{G}\) of the triangle? Take AG = BG = CG = \(1 \mathrm{~m}\)
163990
At what height the value of ' \(g\) ' is half that on the surface :
1 \(R\)
2 \(2 R\)
3 \(0.414 \mathrm{R}\)
4 None of these
Explanation:
\( \frac{g^{\prime}}{g}=\frac{R^2}{(R+h)^2} \) \( \therefore \frac{1}{2}=\frac{R^2}{(R+h)^2} \Rightarrow \frac{1}{\sqrt{2}}=\frac{R}{R+h} \) \( R+h=\sqrt{2} R \Rightarrow h=(\sqrt{2}-1) R . \) \( h =0.414 R \)
NCERT-XI- I -133
5 RBTS PAPER
163991
If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is :
1 \(M / 6\)
2 Zero
3 \(\mathrm{M}\)
4 None of these
Explanation:
Mass does not vary from place to place.
Modified NLI Expert
5 RBTS PAPER
163992
An object weights \(72 \mathrm{~N}\) on earth. Its weight at a height of \(R / 2\) from earth is :
1 \(32 \mathrm{~N}\)
2 \(56 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 Zero
Explanation:
\( g^{\prime} =g\left(\frac{R}{R+h}\right)^2=g\left(\frac{R}{R+\frac{R}{2}}\right)=\frac{4}{9} g \) \( \therefore \quad W =\frac{4}{9} \times W=\frac{4}{9} \times 72=32 N \)
NCERT-XI- I -133
5 RBTS PAPER
163993
Three equal masses of \(\mathrm{m} \mathrm{kg}\) each are fixed at the vertices of an equilateral triangle \(A B C\). What is the force acting on a mass \(2 \mathrm{~m} \mathrm{~kg}\) placed at the centroid \(\mathbf{G}\) of the triangle? Take AG = BG = CG = \(1 \mathrm{~m}\)
163990
At what height the value of ' \(g\) ' is half that on the surface :
1 \(R\)
2 \(2 R\)
3 \(0.414 \mathrm{R}\)
4 None of these
Explanation:
\( \frac{g^{\prime}}{g}=\frac{R^2}{(R+h)^2} \) \( \therefore \frac{1}{2}=\frac{R^2}{(R+h)^2} \Rightarrow \frac{1}{\sqrt{2}}=\frac{R}{R+h} \) \( R+h=\sqrt{2} R \Rightarrow h=(\sqrt{2}-1) R . \) \( h =0.414 R \)
NCERT-XI- I -133
5 RBTS PAPER
163991
If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is :
1 \(M / 6\)
2 Zero
3 \(\mathrm{M}\)
4 None of these
Explanation:
Mass does not vary from place to place.
Modified NLI Expert
5 RBTS PAPER
163992
An object weights \(72 \mathrm{~N}\) on earth. Its weight at a height of \(R / 2\) from earth is :
1 \(32 \mathrm{~N}\)
2 \(56 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 Zero
Explanation:
\( g^{\prime} =g\left(\frac{R}{R+h}\right)^2=g\left(\frac{R}{R+\frac{R}{2}}\right)=\frac{4}{9} g \) \( \therefore \quad W =\frac{4}{9} \times W=\frac{4}{9} \times 72=32 N \)
NCERT-XI- I -133
5 RBTS PAPER
163993
Three equal masses of \(\mathrm{m} \mathrm{kg}\) each are fixed at the vertices of an equilateral triangle \(A B C\). What is the force acting on a mass \(2 \mathrm{~m} \mathrm{~kg}\) placed at the centroid \(\mathbf{G}\) of the triangle? Take AG = BG = CG = \(1 \mathrm{~m}\)
