A body executes SHM under the influence of one force and has a period T_1, second and the same body executes SHM with period T

Q: A body executes $SHM$ under the influence of one force and has a period $T_1\, second$ and the same body executes $SHM$ with period $T_2\, second$ when under the influence of another force. When bothforces act simultaneously and in the same direction, then the time period of the same body is

d Under the force $F_{1}$ time oscillation of the body $T_{1}$ $F_{1}=M\left(\frac{2 \pi}{T_{1}}\right)^{2} V ; \quad$ where $\quad M \quad$ is the mass and $v$ is the velocity and $F_{2}=M\left(\frac{2 \pi}{T_{2}}\right)^{2} V$ $F_{N e t}=F_{1}+F_{2}$ $M\left(\frac{2 \pi}{T}\right)^{2}=M\left(\frac{2 \pi}{T_{1}}\right)^{2}+M\left(\frac{2 \pi}{T_{2}}\right)^{2}$ $\frac{1}{T^{2}}=\frac{1}{T_{1}^{2}}+\frac{1}{T_{2}^{2}}=\frac{T_{1}^{2}+T_{2}^{2}}{T_{1}^{2} T_{2}^{2}}=\frac{T_{1} T_{2}}{\sqrt{T_{1}^{2}+T_{2}^{2}}}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

A body executes $SHM$ under the influence of one force and has a period $T_1\, second$ and the same body executes $SHM$ with period $T_2\, second$ when under the influence of another force. When bothforces act simultaneously and in the same direction, then the time period of the same body is

A$\left( {{T_1} + {T_2}} \right)\,\sec $
B$\sqrt {T_1^2 + T_2^2} \,\sec $
C$\frac{{\sqrt {T_1^2 + T_2^2} }}{{{T_1}{T_2}}}\,\sec $
D$\frac{{{T_1}{T_2}}}{{\sqrt {\left( {T_1^2 + T_2^2} \right)} }}\,\sec $

Medium

STD 11 Science
NEET
STD 11 - 13. oscillations
Physics

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