A particle on a spring executes simple harmonic motion; when it passes through the equilibrium position it has a speed v . The particle is stopped, then the oscillations are restarted so that it now passes through the equilibrium position with a speed of 2y. After this change
(a) the frequency of oscillation will change by a factor of
(A) 4. (B) ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAjCAIAAAB+eU8wAAAA30lEQVRIie2Vyw0DIQxEqYuCXI+rcTMUsznsCvAHMJBEioKPSPiZYQbC9ZUKB/P7GILgqF0MQQDyjrSMIQgR06cxCeMWxYdRlISxvpHxCB4Mp9yIsvAg+zfnwCSMVRMCNb4Er2GYye6WYnQDPY0RVrZaEoxUYxgCPZQKjJJoDMmYOuNshx0Y7jSdiv7loSnkrMEK2JafxHgaleTddkLJAvaVFkR3HjtZOK3t4YDodF05zFV3sV/lxiwhsJttIMzfZSK0BxedTH24C45FhrlqvQMK498P4MG+ugzmYg/l3zAslabHHgw1TJAAAAABJRU5ErkJggg==]()
(C) 2. (C) ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAfCAIAAAAa4xgvAAAAzUlEQVRIie3VzRnDIAgAUOZiIOZhGpZhmPYQmxoUldaYi5zz5RH+Aq+HAja84Q0/BAvBQMyHhYAkluoUWAiQdT2sjNPcCFy4yph3NtaEcfjqHlN2WmnoAvYwrIz5e4UMYzKZB/cG+i645x79/q/UQlBsTccNswbO75JtYGORhMIzXS91kX9rgZUxrjpw+obT8t1fVRe+zKjrFis1AU7lRla7wPkDJp/QSfXX6VPu+kA7/0f/to3D31M87s6B49coEu3LVWnkGvjG2PCyeAPnMGeMVw1kOAAAAABJRU5ErkJggg==]()
(b) the maximum displacement of the particle will change by a factor of
(A) 4. (B) ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAAmCAIAAAAEBC8sAAAA/klEQVRYhe3Xyw3DIAwGYOZiIM/DNF6GYdJDogQ/SKkVQxX5P/biTxg7NG1/nLQacJfAWRM4a96BQ0gDWYNDSIDPlv6eQRxCyqX6UmTGcLXkBbYxnLDVktub5gUfwVHbDrt+OKAeN3IAV0tuSiOIo+LcmTgyqDuEHZMCnoRjS0SDIPj0leAQ5AGIBSea6EU7ce3+J3X0BUen1W3L0LaKG6UtONbYidNKKyu27p1z4ImBaAv1bNzhtUvktF6V6IK7cUw7ue3qnP4SOWaHreXT+yRU3XPnMPZqsMdde5DuOL9G/ZbeF6KWvOIFR/OO/xArEjhrAmdN4KwJnDWBs+YDPrvfGJrtkdYAAAAASUVORK5CYII=]()
(B) 2. (D) ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACcAAAAfCAIAAADr6EOiAAAA0UlEQVRIie3V0Q3EIAgGYOZiIOZhGpZhmN6DbaOg1art5XL63PgZ4KewfePAUv9YFYKGM1kVApL2O+eoQoCsL6vKOBltUB2qjHE3e2pfVVM0jNUJ7VN2G66pyhhfKmQM84xJam18divFraOjxQIWFwAWkgnaaQY03j23aRWaEOic4qbB7+VVQlbGX3ExfhSCqchkdI62aTGQRdekZVfcqI6sNavyBeUzHxnTJOaqcH9/CL+9QW9Pr83qu2XZ0gtq7b+6c7G7KNO8F9fGz1KX+uvoBBAYK6SaCMKUAAAAASUVORK5CYII=]()
c) the magnitude of the maximum acceleration of the particle will change by a factor of
(A) 4. (B) ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC0AAAAWCAIAAADbxYKjAAAA30lEQVRIic2WyxGFMAhFU1cKoh6qoZkUowsdwy9OlPCeLDMOnAD3mrJ9I8qDbwnKRKRzEBSgd1VWchCUiu3vHA1rIsY0h8FoWPlWRBknOSTGwdAPTqbI9sxxNKysCoFpgCZL4hBSOWqqyzts6zmUYr2aBLHBaA4Cey1jHGYKUQrOwd1SpPSNQ+olLGkzFzN9zzjUZHL0Ios4GMP9CJB4e8pzjjB0yahwXb30pNI4bkpm9GPrrff/sedKK2e70N4wjfzjksMonXqM8Pas5Ih3+lnc+GnDmvnimOb4aXyFYweOLFwBXWLVdQAAAABJRU5ErkJggg==]()
(B) 2. (D) ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACEAAAArCAIAAAB5HXZeAAAA00lEQVRYhe3UyxHFIAgFUOqiIOqhGpqxGLPI5yFGxcTMvAWsM57M9SLk7wfCCCOMMML4N0MIHPPKEAIS/08/MYQAOX1qJMa3xMioiMSob8GVYt8oif3yr2OPLoyZrpEY9RFC5kSDPjJGlVpgjIj9btxZCUFV0QHhFXIGvcU27E5rhbyt+mVV/VVvMRKjG8j6PoRA5dUmJoHCKFrSJKr+zhlHXsjJLob+wNCet6bs7pnXfaUaj/xpNLfF7Mf1HPmJacO9uzNT7/lN6MuN9RNGGGG0ZwMp+n6RE3mn/wAAAABJRU5ErkJggg==]()
(E) 1 (it remains unchanged).
Amit Saxena , 10 Years ago
Grade upto college level
